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RCPSP,RCPSP,"We’re managing a construction schedule where every task takes a fixed amount of time, uses some limited crews and machines while it’s underway, and a few tasks must wait for others to finish first. The choice is simple in concept: give each task a start time (exactly once), make sure overlapping tasks don’t exceed the available crews or gear, and arrange things so the whole project’s completion — the time the final task ends — happens as soon as possible. The specific jobs, resource limits, and precedence notes follow below.
{
""num_activities"": 21,
""num_resource_types"": 3,
""resources"": [
1,
2,
3
],
""resource_capacities"": [
{
""resource_id"": 1,
""capacity"": 8
},
{
""resource_id"": 2,
""capacity"": 13
},
{
""resource_id"": 3,
""capacity"": 13
}
],
""tasks"": [
{
""activity_id"": ""T1"",
""activity_duration"": 1,
""resource_demands"": [
0,
0,
0
],
""successor_activities"": [
""T2""
]
},
{
""activity_id"": ""T2"",
""activity_duration"": 1,
""resource_demands"": [
5,
7,
3
],
""successor_activities"": [
""T4""
]
},
{
""activity_id"": ""T3"",
""activity_duration"": 5,
""resource_demands"": [
8,
3,
2
],
""successor_activities"": [
""T4""
]
},
{
""activity_id"": ""T4"",
""activity_duration"": 2,
""resource_demands"": [
4,
2,
7
],
""successor_activities"": [
""T6""
]
},
{
""activity_id"": ""T5"",
""activity_duration"": 1,
""resource_demands"": [
6,
1,
2
],
""successor_activities"": [
""T8""
]
},
{
""activity_id"": ""T6"",
""activity_duration"": 1,
""resource_demands"": [
5,
2,
3
],
""successor_activities"": [
""T7"",
""T9"",
""T10""
]
},
{
""activity_id"": ""T7"",
""activity_duration"": 4,
""resource_demands"": [
1,
4,
6
],
""successor_activities"": [
""T11""
]
},
{
""activity_id"": ""T8"",
""activity_duration"": 2,
""resource_demands"": [
3,
1,
3
],
""successor_activities"": [
""T12"",
""T14""
]
},
{
""activity_id"": ""T9"",
""activity_duration"": 1,
""resource_demands"": [
4,
6,
4
],
""successor_activities"": [
""T13""
]
},
{
""activity_id"": ""T10"",
""activity_duration"": 2,
""resource_demands"": [
2,
4,
4
],
""successor_activities"": [
""T11""
]
},
{
""activity_id"": ""T11"",
""activity_duration"": 5,
""resource_demands"": [
2,
9,
7
],
""successor_activities"": [
""T15"",
""T18""
]
},
{
""activity_id"": ""T12"",
""activity_duration"": 4,
""resource_demands"": [
2,
4,
4
],
""successor_activities"": [
""T15""
]
},
{
""activity_id"": ""T13"",
""activity_duration"": 3,
""resource_demands"": [
4,
4,
5
],
""successor_activities"": [
""T15""
]
},
{
""activity_id"": ""T14"",
""activity_duration"": 13,
""resource_demands"": [
1,
3,
10
],
""successor_activities"": [
""T16"",
""T17""
]
},
{
""activity_id"": ""T15"",
""activity_duration"": 4,
""resource_demands"": [
2,
7,
3
],
""successor_activities"": [
""T19""
]
},
{
""activity_id"": ""T16"",
""activity_duration"": 2,
""resource_demands"": [
6,
1,
1
],
""successor_activities"": [
""T19""
]
},
{
""activity_id"": ""T17"",
""activity_duration"": 3,
""resource_demands"": [
2,
0,
3
],
""successor_activities"": [
""T20""
]
},
{
""activity_id"": ""T18"",
""activity_duration"": 3,
""resource_demands"": [
3,
2,
1
],
""successor_activities"": [
""T20""
]
},
{
""activity_id"": ""T19"",
""activity_duration"": 1,
""resource_demands"": [
0,
1,
6
],
""successor_activities"": [
""T21""
]
},
{
""activity_id"": ""T20"",
""activity_duration"": 5,
""resource_demands"": [
1,
4,
3
],
""successor_activities"": [
""T21""
]
},
{
""activity_id"": ""T21"",
""activity_duration"": 1,
""resource_demands"": [
0,
0,
0
],
""successor_activities"": []
}
]
}
When you send the schedule back, just use this simple JSON shape so everything’s clear and machine-friendly — nothing fancy, just that layout.
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
Think of that like a little form: ""solution"" is the list of scheduled jobs, and each job record says which task it is and when it starts and ends. Keep it light — the JSON above is just the shape I expect, not the filled-in schedule.
Please make sure to use the exact identifiers from the instance input — do not rename tasks or invent new labels. For example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'nr_tasks': 21, 'nr_resources': 3, 'capacities': [8, 13, 13], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1]}, {'duration': 1, 'demands': [5, 7, 3], 'successors': [3]}, {'duration': 5, 'demands': [8, 3, 2], 'successors': [3]}, {'duration': 2, 'demands': [4, 2, 7], 'successors': [5]}, {'duration': 1, 'demands': [6, 1, 2], 'successors': [7]}, {'duration': 1, 'demands': [5, 2, 3], 'successors': [6, 8, 9]}, {'duration': 4, 'demands': [1, 4, 6], 'successors': [10]}, {'duration': 2, 'demands': [3, 1, 3], 'successors': [11, 13]}, {'duration': 1, 'demands': [4, 6, 4], 'successors': [12]}, {'duration': 2, 'demands': [2, 4, 4], 'successors': [10]}, {'duration': 5, 'demands': [2, 9, 7], 'successors': [14, 17]}, {'duration': 4, 'demands': [2, 4, 4], 'successors': [14]}, {'duration': 3, 'demands': [4, 4, 5], 'successors': [14]}, {'duration': 13, 'demands': [1, 3, 10], 'successors': [15, 16]}, {'duration': 4, 'demands': [2, 7, 3], 'successors': [18]}, {'duration': 2, 'demands': [6, 1, 1], 'successors': [18]}, {'duration': 3, 'demands': [2, 0, 3], 'successors': [19]}, {'duration': 3, 'demands': [3, 2, 1], 'successors': [19]}, {'duration': 1, 'demands': [0, 1, 6], 'successors': [20]}, {'duration': 5, 'demands': [1, 4, 3], 'successors': [20]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 6, 'end': 7, 'duration': 1, 'demands': [5, 7, 3]}, {'task': 2, 'start': 0, 'end': 5, 'duration': 5, 'demands': [8, 3, 2]}, {'task': 3, 'start': 7, 'end': 9, 'duration': 2, 'demands': [4, 2, 7]}, {'task': 4, 'start': 5, 'end': 6, 'duration': 1, 'demands': [6, 1, 2]}, {'task': 5, 'start': 9, 'end': 10, 'duration': 1, 'demands': [5, 2, 3]}, {'task': 6, 'start': 22, 'end': 26, 'duration': 4, 'demands': [1, 4, 6]}, {'task': 7, 'start': 6, 'end': 8, 'duration': 2, 'demands': [3, 1, 3]}, {'task': 8, 'start': 24, 'end': 25, 'duration': 1, 'demands': [4, 6, 4]}, {'task': 9, 'start': 22, 'end': 24, 'duration': 2, 'demands': [2, 4, 4]}, {'task': 10, 'start': 26, 'end': 31, 'duration': 5, 'demands': [2, 9, 7]}, {'task': 11, 'start': 27, 'end': 31, 'duration': 4, 'demands': [2, 4, 4]}, {'task': 12, 'start': 31, 'end': 34, 'duration': 3, 'demands': [4, 4, 5]}, {'task': 13, 'start': 9, 'end': 22, 'duration': 13, 'demands': [1, 3, 10]}, {'task': 14, 'start': 34, 'end': 38, 'duration': 4, 'demands': [2, 7, 3]}, {'task': 15, 'start': 25, 'end': 27, 'duration': 2, 'demands': [6, 1, 1]}, {'task': 16, 'start': 22, 'end': 25, 'duration': 3, 'demands': [2, 0, 3]}, {'task': 17, 'start': 31, 'end': 34, 'duration': 3, 'demands': [3, 2, 1]}, {'task': 18, 'start': 38, 'end': 39, 'duration': 1, 'demands': [0, 1, 6]}, {'task': 19, 'start': 34, 'end': 39, 'duration': 5, 'demands': [1, 4, 3]}, {'task': 20, 'start': 39, 'end': 40, 'duration': 1, 'demands': [0, 0, 0]}]",40.0,"{'problem_type': 'RCPSP', 'nr_tasks': 21, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18', 'T19', 'T20', 'T21'], 'resources': [1, 2, 3], 'resource_capacities': [{'resource_id': 1, 'capacity': 8}, {'resource_id': 2, 'capacity': 13}, {'resource_id': 3, 'capacity': 13}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2']}, {'task_id': 'T2', 'duration': 1, 'demands': [5, 7, 3], 'successors': ['T4']}, {'task_id': 'T3', 'duration': 5, 'demands': [8, 3, 2], 'successors': ['T4']}, {'task_id': 'T4', 'duration': 2, 'demands': [4, 2, 7], 'successors': ['T6']}, {'task_id': 'T5', 'duration': 1, 'demands': [6, 1, 2], 'successors': ['T8']}, {'task_id': 'T6', 'duration': 1, 'demands': [5, 2, 3], 'successors': ['T7', 'T9', 'T10']}, {'task_id': 'T7', 'duration': 4, 'demands': [1, 4, 6], 'successors': ['T11']}, {'task_id': 'T8', 'duration': 2, 'demands': [3, 1, 3], 'successors': ['T12', 'T14']}, {'task_id': 'T9', 'duration': 1, 'demands': [4, 6, 4], 'successors': ['T13']}, {'task_id': 'T10', 'duration': 2, 'demands': [2, 4, 4], 'successors': ['T11']}, {'task_id': 'T11', 'duration': 5, 'demands': [2, 9, 7], 'successors': ['T15', 'T18']}, {'task_id': 'T12', 'duration': 4, 'demands': [2, 4, 4], 'successors': ['T15']}, {'task_id': 'T13', 'duration': 3, 'demands': [4, 4, 5], 'successors': ['T15']}, {'task_id': 'T14', 'duration': 13, 'demands': [1, 3, 10], 'successors': ['T16', 'T17']}, {'task_id': 'T15', 'duration': 4, 'demands': [2, 7, 3], 'successors': ['T19']}, {'task_id': 'T16', 'duration': 2, 'demands': [6, 1, 1], 'successors': ['T19']}, {'task_id': 'T17', 'duration': 3, 'demands': [2, 0, 3], 'successors': ['T20']}, {'task_id': 'T18', 'duration': 3, 'demands': [3, 2, 1], 'successors': ['T20']}, {'task_id': 'T19', 'duration': 1, 'demands': [0, 1, 6], 'successors': ['T21']}, {'task_id': 'T20', 'duration': 5, 'demands': [1, 4, 3], 'successors': ['T21']}, {'task_id': 'T21', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 6, 'end': 7, 'duration': 1, 'demands': [5, 7, 3]}, {'task': 'T3', 'start': 0, 'end': 5, 'duration': 5, 'demands': [8, 3, 2]}, {'task': 'T4', 'start': 7, 'end': 9, 'duration': 2, 'demands': [4, 2, 7]}, {'task': 'T5', 'start': 5, 'end': 6, 'duration': 1, 'demands': [6, 1, 2]}, {'task': 'T6', 'start': 9, 'end': 10, 'duration': 1, 'demands': [5, 2, 3]}, {'task': 'T7', 'start': 22, 'end': 26, 'duration': 4, 'demands': [1, 4, 6]}, {'task': 'T8', 'start': 6, 'end': 8, 'duration': 2, 'demands': [3, 1, 3]}, {'task': 'T9', 'start': 24, 'end': 25, 'duration': 1, 'demands': [4, 6, 4]}, {'task': 'T10', 'start': 22, 'end': 24, 'duration': 2, 'demands': [2, 4, 4]}, {'task': 'T11', 'start': 26, 'end': 31, 'duration': 5, 'demands': [2, 9, 7]}, {'task': 'T12', 'start': 27, 'end': 31, 'duration': 4, 'demands': [2, 4, 4]}, {'task': 'T13', 'start': 31, 'end': 34, 'duration': 3, 'demands': [4, 4, 5]}, {'task': 'T14', 'start': 9, 'end': 22, 'duration': 13, 'demands': [1, 3, 10]}, {'task': 'T15', 'start': 34, 'end': 38, 'duration': 4, 'demands': [2, 7, 3]}, {'task': 'T16', 'start': 25, 'end': 27, 'duration': 2, 'demands': [6, 1, 1]}, {'task': 'T17', 'start': 22, 'end': 25, 'duration': 3, 'demands': [2, 0, 3]}, {'task': 'T18', 'start': 31, 'end': 34, 'duration': 3, 'demands': [3, 2, 1]}, {'task': 'T19', 'start': 38, 'end': 39, 'duration': 1, 'demands': [0, 1, 6]}, {'task': 'T20', 'start': 34, 'end': 39, 'duration': 5, 'demands': [1, 4, 3]}, {'task': 'T21', 'start': 39, 'end': 40, 'duration': 1, 'demands': [0, 0, 0]}]",1,json,1
RCPSP,RCPSP,"There’s a rush night and the kitchen needs a timeline: each recipe step has its own runtime, ties up certain tools or staff while it runs, and can only kick off after specific earlier steps are done. The aim is to arrange start times so the entire meal service ends as early as possible — you read that off as the clock time when the last step finishes. Make sure no step is forgotten or duplicated, honor the “finish-before-start” needs, and don’t ever have more simultaneous demand for ovens or cooks than on hand. The detailed list of steps, times and resources follows below.
# total_steps=16
# nr_resource_types=3
# resources=A, B, C
resource_id,capacity
A,15
B,9
C,10
step_id,step_duration,resource_demands,successor_steps
T1,1,""7, 6, 6"",""T3, T5, T4""
T2,2,""10, 2, 1"",""T4, T6""
T3,6,""3, 1, 3"",""T7, T9""
T4,9,""3, 5, 8"",""T8, T10""
T5,5,""2, 3, 3"",""T7, T8""
T6,2,""1, 3, 4"",""T8, T9""
T7,4,""4, 4, 3"",""T11, T13, T2""
T8,6,""4, 1, 7"",""T12, T10""
T9,5,""4, 5, 2"",""T12, T14""
T10,1,""5, 1, 2"",""T11""
T11,1,""2, 4, 6"",""T15, T13""
T12,9,""1, 4, 3"",""T13, T14""
T13,2,""6, 9, 6"",""T16, T14""
T14,4,""3, 3, 3"",""T16""
T15,1,""4, 2, 5"",""T16, T13""
T16,5,""1, 2, 10"",""none""
Also, when you hand me the schedule, please use this JSON layout so I can parse it cleanly — something simple like this:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
Think of that block as a little form: each item in the ""solution"" list is one recipe step. ""task"" is the step identifier, and ""start"" and ""end"" are when that step begins and finishes (in the same time units used in the instance). It's just a sketch of the shape I expect, not your actual answer.
Please make sure you use the exact identifiers from the instance input — don't rename them or invent new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'nr_tasks': 16, 'nr_resources': 3, 'capacities': [15, 9, 10], 'tasks': [{'duration': 1, 'demands': [7, 6, 6], 'successors': [2, 4, 3]}, {'duration': 2, 'demands': [10, 2, 1], 'successors': [3, 5]}, {'duration': 6, 'demands': [3, 1, 3], 'successors': [6, 8]}, {'duration': 9, 'demands': [3, 5, 8], 'successors': [7, 9]}, {'duration': 5, 'demands': [2, 3, 3], 'successors': [6, 7]}, {'duration': 2, 'demands': [1, 3, 4], 'successors': [7, 8]}, {'duration': 4, 'demands': [4, 4, 3], 'successors': [10, 12, 1]}, {'duration': 6, 'demands': [4, 1, 7], 'successors': [11, 9]}, {'duration': 5, 'demands': [4, 5, 2], 'successors': [11, 13]}, {'duration': 1, 'demands': [5, 1, 2], 'successors': [10]}, {'duration': 1, 'demands': [2, 4, 6], 'successors': [14, 12]}, {'duration': 9, 'demands': [1, 4, 3], 'successors': [12, 13]}, {'duration': 2, 'demands': [6, 9, 6], 'successors': [15, 13]}, {'duration': 4, 'demands': [3, 3, 3], 'successors': [15]}, {'duration': 1, 'demands': [4, 2, 5], 'successors': [15, 12]}, {'duration': 5, 'demands': [1, 2, 10], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [7, 6, 6]}, {'task': 1, 'start': 11, 'end': 13, 'duration': 2, 'demands': [10, 2, 1]}, {'task': 2, 'start': 1, 'end': 7, 'duration': 6, 'demands': [3, 1, 3]}, {'task': 3, 'start': 13, 'end': 22, 'duration': 9, 'demands': [3, 5, 8]}, {'task': 4, 'start': 1, 'end': 6, 'duration': 5, 'demands': [2, 3, 3]}, {'task': 5, 'start': 22, 'end': 24, 'duration': 2, 'demands': [1, 3, 4]}, {'task': 6, 'start': 7, 'end': 11, 'duration': 4, 'demands': [4, 4, 3]}, {'task': 7, 'start': 24, 'end': 30, 'duration': 6, 'demands': [4, 1, 7]}, {'task': 8, 'start': 24, 'end': 29, 'duration': 5, 'demands': [4, 5, 2]}, {'task': 9, 'start': 30, 'end': 31, 'duration': 1, 'demands': [5, 1, 2]}, {'task': 10, 'start': 31, 'end': 32, 'duration': 1, 'demands': [2, 4, 6]}, {'task': 11, 'start': 30, 'end': 39, 'duration': 9, 'demands': [1, 4, 3]}, {'task': 12, 'start': 39, 'end': 41, 'duration': 2, 'demands': [6, 9, 6]}, {'task': 13, 'start': 41, 'end': 45, 'duration': 4, 'demands': [3, 3, 3]}, {'task': 14, 'start': 32, 'end': 33, 'duration': 1, 'demands': [4, 2, 5]}, {'task': 15, 'start': 45, 'end': 50, 'duration': 5, 'demands': [1, 2, 10]}]",50.0,"{'problem_type': 'RCPSP', 'nr_tasks': 16, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16'], 'resources': ['A', 'B', 'C'], 'resource_capacities': [{'resource_id': 'A', 'capacity': 15}, {'resource_id': 'B', 'capacity': 9}, {'resource_id': 'C', 'capacity': 10}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [7, 6, 6], 'successors': ['T3', 'T5', 'T4']}, {'task_id': 'T2', 'duration': 2, 'demands': [10, 2, 1], 'successors': ['T4', 'T6']}, {'task_id': 'T3', 'duration': 6, 'demands': [3, 1, 3], 'successors': ['T7', 'T9']}, {'task_id': 'T4', 'duration': 9, 'demands': [3, 5, 8], 'successors': ['T8', 'T10']}, {'task_id': 'T5', 'duration': 5, 'demands': [2, 3, 3], 'successors': ['T7', 'T8']}, {'task_id': 'T6', 'duration': 2, 'demands': [1, 3, 4], 'successors': ['T8', 'T9']}, {'task_id': 'T7', 'duration': 4, 'demands': [4, 4, 3], 'successors': ['T11', 'T13', 'T2']}, {'task_id': 'T8', 'duration': 6, 'demands': [4, 1, 7], 'successors': ['T12', 'T10']}, {'task_id': 'T9', 'duration': 5, 'demands': [4, 5, 2], 'successors': ['T12', 'T14']}, {'task_id': 'T10', 'duration': 1, 'demands': [5, 1, 2], 'successors': ['T11']}, {'task_id': 'T11', 'duration': 1, 'demands': [2, 4, 6], 'successors': ['T15', 'T13']}, {'task_id': 'T12', 'duration': 9, 'demands': [1, 4, 3], 'successors': ['T13', 'T14']}, {'task_id': 'T13', 'duration': 2, 'demands': [6, 9, 6], 'successors': ['T16', 'T14']}, {'task_id': 'T14', 'duration': 4, 'demands': [3, 3, 3], 'successors': ['T16']}, {'task_id': 'T15', 'duration': 1, 'demands': [4, 2, 5], 'successors': ['T16', 'T13']}, {'task_id': 'T16', 'duration': 5, 'demands': [1, 2, 10], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [7, 6, 6]}, {'task': 'T2', 'start': 11, 'end': 13, 'duration': 2, 'demands': [10, 2, 1]}, {'task': 'T3', 'start': 1, 'end': 7, 'duration': 6, 'demands': [3, 1, 3]}, {'task': 'T4', 'start': 13, 'end': 22, 'duration': 9, 'demands': [3, 5, 8]}, {'task': 'T5', 'start': 1, 'end': 6, 'duration': 5, 'demands': [2, 3, 3]}, {'task': 'T6', 'start': 22, 'end': 24, 'duration': 2, 'demands': [1, 3, 4]}, {'task': 'T7', 'start': 7, 'end': 11, 'duration': 4, 'demands': [4, 4, 3]}, {'task': 'T8', 'start': 24, 'end': 30, 'duration': 6, 'demands': [4, 1, 7]}, {'task': 'T9', 'start': 24, 'end': 29, 'duration': 5, 'demands': [4, 5, 2]}, {'task': 'T10', 'start': 30, 'end': 31, 'duration': 1, 'demands': [5, 1, 2]}, {'task': 'T11', 'start': 31, 'end': 32, 'duration': 1, 'demands': [2, 4, 6]}, {'task': 'T12', 'start': 30, 'end': 39, 'duration': 9, 'demands': [1, 4, 3]}, {'task': 'T13', 'start': 39, 'end': 41, 'duration': 2, 'demands': [6, 9, 6]}, {'task': 'T14', 'start': 41, 'end': 45, 'duration': 4, 'demands': [3, 3, 3]}, {'task': 'T15', 'start': 32, 'end': 33, 'duration': 1, 'demands': [4, 2, 5]}, {'task': 'T16', 'start': 45, 'end': 50, 'duration': 5, 'demands': [1, 2, 10]}]",2,csv,names
RCPSP,RCPSP,"Backstage there’s a simple rule: every scene has a fixed runtime, occupies particular camera crews and props while it runs, and some scenes depend on others finishing first. The director’s decision is to place a start time on each scene so each gets filmed exactly once, no resource is used by more scenes at the same time than exist, and all the “wait for” relationships are respected. A schedule’s quality is measured by when the last scene finishes — compute each scene’s end (start time plus duration), take the latest of those, and the goal is to make that latest finish as early as possible. The specific scene durations, resource counts and ordering details are shown below.
{
""nr_scenes"": 18,
""nr_resource_types"": 3,
""resources"": [
""A"",
""B"",
""C""
],
""resource_capacities"": [
{
""resource_id"": ""A"",
""capacity"": 10
},
{
""resource_id"": ""B"",
""capacity"": 12
},
{
""resource_id"": ""C"",
""capacity"": 9
}
],
""tasks"": [
{
""scene_id"": ""T1"",
""scene_duration"": 1,
""resource_requirements"": [
0,
0,
0
],
""successor_scenes"": [
""T2"",
""T3"",
""T4""
]
},
{
""scene_id"": ""T2"",
""scene_duration"": 2,
""resource_requirements"": [
3,
7,
1
],
""successor_scenes"": [
""T7"",
""T8""
]
},
{
""scene_id"": ""T3"",
""scene_duration"": 5,
""resource_requirements"": [
8,
4,
4
],
""successor_scenes"": [
""T6"",
""T7"",
""T17""
]
},
{
""scene_id"": ""T4"",
""scene_duration"": 3,
""resource_requirements"": [
8,
3,
2
],
""successor_scenes"": [
""T5"",
""T6""
]
},
{
""scene_id"": ""T5"",
""scene_duration"": 2,
""resource_requirements"": [
4,
1,
5
],
""successor_scenes"": [
""T9"",
""T10""
]
},
{
""scene_id"": ""T6"",
""scene_duration"": 4,
""resource_requirements"": [
5,
5,
8
],
""successor_scenes"": [
""T9""
]
},
{
""scene_id"": ""T7"",
""scene_duration"": 7,
""resource_requirements"": [
3,
5,
1
],
""successor_scenes"": [
""T10""
]
},
{
""scene_id"": ""T8"",
""scene_duration"": 1,
""resource_requirements"": [
2,
3,
6
],
""successor_scenes"": [
""T9"",
""T10""
]
},
{
""scene_id"": ""T9"",
""scene_duration"": 2,
""resource_requirements"": [
2,
4,
3
],
""successor_scenes"": [
""T14""
]
},
{
""scene_id"": ""T10"",
""scene_duration"": 3,
""resource_requirements"": [
3,
4,
2
],
""successor_scenes"": [
""T11""
]
},
{
""scene_id"": ""T11"",
""scene_duration"": 11,
""resource_requirements"": [
2,
6,
8
],
""successor_scenes"": [
""T14""
]
},
{
""scene_id"": ""T12"",
""scene_duration"": 3,
""resource_requirements"": [
2,
1,
4
],
""successor_scenes"": [
""T13"",
""T8""
]
},
{
""scene_id"": ""T13"",
""scene_duration"": 3,
""resource_requirements"": [
3,
8,
8
],
""successor_scenes"": []
},
{
""scene_id"": ""T14"",
""scene_duration"": 5,
""resource_requirements"": [
5,
2,
2
],
""successor_scenes"": [
""T15"",
""T16""
]
},
{
""scene_id"": ""T15"",
""scene_duration"": 14,
""resource_requirements"": [
2,
0,
7
],
""successor_scenes"": [
""T17""
]
},
{
""scene_id"": ""T16"",
""scene_duration"": 1,
""resource_requirements"": [
3,
1,
1
],
""successor_scenes"": [
""T17""
]
},
{
""scene_id"": ""T17"",
""scene_duration"": 4,
""resource_requirements"": [
0,
2,
4
],
""successor_scenes"": [
""T18""
]
},
{
""scene_id"": ""T18"",
""scene_duration"": 1,
""resource_requirements"": [
0,
0,
0
],
""successor_scenes"": []
}
]
}
If you want to hand me a schedule, just use this relaxed JSON layout so everything is predictable:
{
""solution"": [
{
""task"": <scene_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
Think of it like a little form: ""solution"" is the list of filmed scenes, each object records which scene (""task""), when it starts, and when it ends. Start and end are the numeric times (same units as the scene durations). This is only a sketch of the shape I expect — not the actual schedule.
Please use the exact scene identifiers from the instance input — no renaming, no made-up labels. Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'nr_tasks': 18, 'nr_resources': 3, 'capacities': [10, 12, 9], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2, 3]}, {'duration': 2, 'demands': [3, 7, 1], 'successors': [6, 7]}, {'duration': 5, 'demands': [8, 4, 4], 'successors': [5, 6, 16]}, {'duration': 3, 'demands': [8, 3, 2], 'successors': [4, 5]}, {'duration': 2, 'demands': [4, 1, 5], 'successors': [8, 9]}, {'duration': 4, 'demands': [5, 5, 8], 'successors': [8]}, {'duration': 7, 'demands': [3, 5, 1], 'successors': [9]}, {'duration': 1, 'demands': [2, 3, 6], 'successors': [8, 9]}, {'duration': 2, 'demands': [2, 4, 3], 'successors': [13]}, {'duration': 3, 'demands': [3, 4, 2], 'successors': [10]}, {'duration': 11, 'demands': [2, 6, 8], 'successors': [13]}, {'duration': 3, 'demands': [2, 1, 4], 'successors': [12, 7]}, {'duration': 3, 'demands': [3, 8, 8], 'successors': []}, {'duration': 5, 'demands': [5, 2, 2], 'successors': [14, 15]}, {'duration': 14, 'demands': [2, 0, 7], 'successors': [16]}, {'duration': 1, 'demands': [3, 1, 1], 'successors': [16]}, {'duration': 4, 'demands': [0, 2, 4], 'successors': [17]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 6, 'end': 8, 'duration': 2, 'demands': [3, 7, 1]}, {'task': 2, 'start': 1, 'end': 6, 'duration': 5, 'demands': [8, 4, 4]}, {'task': 3, 'start': 8, 'end': 11, 'duration': 3, 'demands': [8, 3, 2]}, {'task': 4, 'start': 11, 'end': 13, 'duration': 2, 'demands': [4, 1, 5]}, {'task': 5, 'start': 13, 'end': 17, 'duration': 4, 'demands': [5, 5, 8]}, {'task': 6, 'start': 11, 'end': 18, 'duration': 7, 'demands': [3, 5, 1]}, {'task': 7, 'start': 8, 'end': 9, 'duration': 1, 'demands': [2, 3, 6]}, {'task': 8, 'start': 17, 'end': 19, 'duration': 2, 'demands': [2, 4, 3]}, {'task': 9, 'start': 18, 'end': 21, 'duration': 3, 'demands': [3, 4, 2]}, {'task': 10, 'start': 21, 'end': 32, 'duration': 11, 'demands': [2, 6, 8]}, {'task': 11, 'start': 0, 'end': 3, 'duration': 3, 'demands': [2, 1, 4]}, {'task': 12, 'start': 55, 'end': 58, 'duration': 3, 'demands': [3, 8, 8]}, {'task': 13, 'start': 32, 'end': 37, 'duration': 5, 'demands': [5, 2, 2]}, {'task': 14, 'start': 37, 'end': 51, 'duration': 14, 'demands': [2, 0, 7]}, {'task': 15, 'start': 37, 'end': 38, 'duration': 1, 'demands': [3, 1, 1]}, {'task': 16, 'start': 51, 'end': 55, 'duration': 4, 'demands': [0, 2, 4]}, {'task': 17, 'start': 55, 'end': 56, 'duration': 1, 'demands': [0, 0, 0]}]",58.0,"{'problem_type': 'RCPSP', 'nr_tasks': 18, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18'], 'resources': ['A', 'B', 'C'], 'resource_capacities': [{'resource_id': 'A', 'capacity': 10}, {'resource_id': 'B', 'capacity': 12}, {'resource_id': 'C', 'capacity': 9}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3', 'T4']}, {'task_id': 'T2', 'duration': 2, 'demands': [3, 7, 1], 'successors': ['T7', 'T8']}, {'task_id': 'T3', 'duration': 5, 'demands': [8, 4, 4], 'successors': ['T6', 'T7', 'T17']}, {'task_id': 'T4', 'duration': 3, 'demands': [8, 3, 2], 'successors': ['T5', 'T6']}, {'task_id': 'T5', 'duration': 2, 'demands': [4, 1, 5], 'successors': ['T9', 'T10']}, {'task_id': 'T6', 'duration': 4, 'demands': [5, 5, 8], 'successors': ['T9']}, {'task_id': 'T7', 'duration': 7, 'demands': [3, 5, 1], 'successors': ['T10']}, {'task_id': 'T8', 'duration': 1, 'demands': [2, 3, 6], 'successors': ['T9', 'T10']}, {'task_id': 'T9', 'duration': 2, 'demands': [2, 4, 3], 'successors': ['T14']}, {'task_id': 'T10', 'duration': 3, 'demands': [3, 4, 2], 'successors': ['T11']}, {'task_id': 'T11', 'duration': 11, 'demands': [2, 6, 8], 'successors': ['T14']}, {'task_id': 'T12', 'duration': 3, 'demands': [2, 1, 4], 'successors': ['T13', 'T8']}, {'task_id': 'T13', 'duration': 3, 'demands': [3, 8, 8], 'successors': []}, {'task_id': 'T14', 'duration': 5, 'demands': [5, 2, 2], 'successors': ['T15', 'T16']}, {'task_id': 'T15', 'duration': 14, 'demands': [2, 0, 7], 'successors': ['T17']}, {'task_id': 'T16', 'duration': 1, 'demands': [3, 1, 1], 'successors': ['T17']}, {'task_id': 'T17', 'duration': 4, 'demands': [0, 2, 4], 'successors': ['T18']}, {'task_id': 'T18', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 6, 'end': 8, 'duration': 2, 'demands': [3, 7, 1]}, {'task': 'T3', 'start': 1, 'end': 6, 'duration': 5, 'demands': [8, 4, 4]}, {'task': 'T4', 'start': 8, 'end': 11, 'duration': 3, 'demands': [8, 3, 2]}, {'task': 'T5', 'start': 11, 'end': 13, 'duration': 2, 'demands': [4, 1, 5]}, {'task': 'T6', 'start': 13, 'end': 17, 'duration': 4, 'demands': [5, 5, 8]}, {'task': 'T7', 'start': 11, 'end': 18, 'duration': 7, 'demands': [3, 5, 1]}, {'task': 'T8', 'start': 8, 'end': 9, 'duration': 1, 'demands': [2, 3, 6]}, {'task': 'T9', 'start': 17, 'end': 19, 'duration': 2, 'demands': [2, 4, 3]}, {'task': 'T10', 'start': 18, 'end': 21, 'duration': 3, 'demands': [3, 4, 2]}, {'task': 'T11', 'start': 21, 'end': 32, 'duration': 11, 'demands': [2, 6, 8]}, {'task': 'T12', 'start': 0, 'end': 3, 'duration': 3, 'demands': [2, 1, 4]}, {'task': 'T13', 'start': 55, 'end': 58, 'duration': 3, 'demands': [3, 8, 8]}, {'task': 'T14', 'start': 32, 'end': 37, 'duration': 5, 'demands': [5, 2, 2]}, {'task': 'T15', 'start': 37, 'end': 51, 'duration': 14, 'demands': [2, 0, 7]}, {'task': 'T16', 'start': 37, 'end': 38, 'duration': 1, 'demands': [3, 1, 1]}, {'task': 'T17', 'start': 51, 'end': 55, 'duration': 4, 'demands': [0, 2, 4]}, {'task': 'T18', 'start': 55, 'end': 56, 'duration': 1, 'demands': [0, 0, 0]}]",3,json,names
RCPSP,RCPSP,"Picture this: a release calendar with jobs that have fixed lengths, a handful of developers and a limited number of test machines, and some jobs that can’t start until others are done. The problem to solve is picking a start time for each job so that when jobs overlap they don’t use more developer hours or server slots than we’ve got, and each job is scheduled once and in the right order. The release date is simply when the last job completes, so the aim is to make that day as early as possible. The exact tasks, how long they take, their dependencies, and available resources are listed below.
# total_tasks=17
# resource_types_count=3
# resources=A, B, C
resource_id,capacity
A,14
B,9
C,13
task_code,task_duration,resource_demands,successor_tasks
T1,1,""0, 0, 0"",""T2, T3, T4""
T2,6,""2, 9, 4"",""T5, T6""
T3,5,""7, 7, 2"",""T5, T6""
T4,1,""9, 1, 4"",""T7, T8""
T5,8,""5, 1, 3"",""T11, T12""
T6,4,""3, 5, 4"",""T9, T10, T17""
T7,5,""3, 6, 1"",""T9, T12""
T8,5,""3, 6, 8"",""T10, T11""
T9,3,""4, 3, 3"",""T13""
T10,14,""3, 3, 5"",""T13""
T11,1,""2, 2, 3"",""none""
T12,1,""6, 1, 3"",""T13""
T13,1,""1, 6, 5"",""T14, T15""
T14,2,""7, 3, 7"",""T16""
T15,6,""4, 4, 6"",""T16""
T16,3,""1, 8, 8"",""T17""
T17,1,""0, 0, 0"",""none""
Also, when you send the schedule back, just stick to a simple JSON layout so it's easy to parse. Something like this is what I expect to see:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
That's just the shape I want—""solution"" is an array of task entries. Each entry shows which task it is and the start and end times you picked for it. Keep it casual: task is the task identifier from the instance, start and end are the times (in the same time units used in the instance), and end should be after start. This block is only a sketch of the expected shape, not the actual answer.
Please make sure you use the exact identifiers from the instance input — do not rename tasks or invent new labels. Valid identifiers look like plain numbers such as ""1"" or ""23"", single capital letters like ""A"" or ""B"", or a capital letter followed by digits like ""A1"" or ""X7"".","{'nr_tasks': 17, 'nr_resources': 3, 'capacities': [14, 9, 13], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2, 3]}, {'duration': 6, 'demands': [2, 9, 4], 'successors': [4, 5]}, {'duration': 5, 'demands': [7, 7, 2], 'successors': [4, 5]}, {'duration': 1, 'demands': [9, 1, 4], 'successors': [6, 7]}, {'duration': 8, 'demands': [5, 1, 3], 'successors': [10, 11]}, {'duration': 4, 'demands': [3, 5, 4], 'successors': [8, 9, 16]}, {'duration': 5, 'demands': [3, 6, 1], 'successors': [8, 11]}, {'duration': 5, 'demands': [3, 6, 8], 'successors': [9, 10]}, {'duration': 3, 'demands': [4, 3, 3], 'successors': [12]}, {'duration': 14, 'demands': [3, 3, 5], 'successors': [12]}, {'duration': 1, 'demands': [2, 2, 3], 'successors': []}, {'duration': 1, 'demands': [6, 1, 3], 'successors': [12]}, {'duration': 1, 'demands': [1, 6, 5], 'successors': [13, 14]}, {'duration': 2, 'demands': [7, 3, 7], 'successors': [15]}, {'duration': 6, 'demands': [4, 4, 6], 'successors': [15]}, {'duration': 3, 'demands': [1, 8, 8], 'successors': [16]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 1, 'end': 7, 'duration': 6, 'demands': [2, 9, 4]}, {'task': 2, 'start': 7, 'end': 12, 'duration': 5, 'demands': [7, 7, 2]}, {'task': 3, 'start': 12, 'end': 13, 'duration': 1, 'demands': [9, 1, 4]}, {'task': 4, 'start': 13, 'end': 21, 'duration': 8, 'demands': [5, 1, 3]}, {'task': 5, 'start': 12, 'end': 16, 'duration': 4, 'demands': [3, 5, 4]}, {'task': 6, 'start': 21, 'end': 26, 'duration': 5, 'demands': [3, 6, 1]}, {'task': 7, 'start': 16, 'end': 21, 'duration': 5, 'demands': [3, 6, 8]}, {'task': 8, 'start': 26, 'end': 29, 'duration': 3, 'demands': [4, 3, 3]}, {'task': 9, 'start': 21, 'end': 35, 'duration': 14, 'demands': [3, 3, 5]}, {'task': 10, 'start': 27, 'end': 28, 'duration': 1, 'demands': [2, 2, 3]}, {'task': 11, 'start': 26, 'end': 27, 'duration': 1, 'demands': [6, 1, 3]}, {'task': 12, 'start': 35, 'end': 36, 'duration': 1, 'demands': [1, 6, 5]}, {'task': 13, 'start': 36, 'end': 38, 'duration': 2, 'demands': [7, 3, 7]}, {'task': 14, 'start': 36, 'end': 42, 'duration': 6, 'demands': [4, 4, 6]}, {'task': 15, 'start': 42, 'end': 45, 'duration': 3, 'demands': [1, 8, 8]}, {'task': 16, 'start': 45, 'end': 46, 'duration': 1, 'demands': [0, 0, 0]}]",46.0,"{'problem_type': 'RCPSP', 'nr_tasks': 17, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17'], 'resources': ['A', 'B', 'C'], 'resource_capacities': [{'resource_id': 'A', 'capacity': 14}, {'resource_id': 'B', 'capacity': 9}, {'resource_id': 'C', 'capacity': 13}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3', 'T4']}, {'task_id': 'T2', 'duration': 6, 'demands': [2, 9, 4], 'successors': ['T5', 'T6']}, {'task_id': 'T3', 'duration': 5, 'demands': [7, 7, 2], 'successors': ['T5', 'T6']}, {'task_id': 'T4', 'duration': 1, 'demands': [9, 1, 4], 'successors': ['T7', 'T8']}, {'task_id': 'T5', 'duration': 8, 'demands': [5, 1, 3], 'successors': ['T11', 'T12']}, {'task_id': 'T6', 'duration': 4, 'demands': [3, 5, 4], 'successors': ['T9', 'T10', 'T17']}, {'task_id': 'T7', 'duration': 5, 'demands': [3, 6, 1], 'successors': ['T9', 'T12']}, {'task_id': 'T8', 'duration': 5, 'demands': [3, 6, 8], 'successors': ['T10', 'T11']}, {'task_id': 'T9', 'duration': 3, 'demands': [4, 3, 3], 'successors': ['T13']}, {'task_id': 'T10', 'duration': 14, 'demands': [3, 3, 5], 'successors': ['T13']}, {'task_id': 'T11', 'duration': 1, 'demands': [2, 2, 3], 'successors': []}, {'task_id': 'T12', 'duration': 1, 'demands': [6, 1, 3], 'successors': ['T13']}, {'task_id': 'T13', 'duration': 1, 'demands': [1, 6, 5], 'successors': ['T14', 'T15']}, {'task_id': 'T14', 'duration': 2, 'demands': [7, 3, 7], 'successors': ['T16']}, {'task_id': 'T15', 'duration': 6, 'demands': [4, 4, 6], 'successors': ['T16']}, {'task_id': 'T16', 'duration': 3, 'demands': [1, 8, 8], 'successors': ['T17']}, {'task_id': 'T17', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 1, 'end': 7, 'duration': 6, 'demands': [2, 9, 4]}, {'task': 'T3', 'start': 7, 'end': 12, 'duration': 5, 'demands': [7, 7, 2]}, {'task': 'T4', 'start': 12, 'end': 13, 'duration': 1, 'demands': [9, 1, 4]}, {'task': 'T5', 'start': 13, 'end': 21, 'duration': 8, 'demands': [5, 1, 3]}, {'task': 'T6', 'start': 12, 'end': 16, 'duration': 4, 'demands': [3, 5, 4]}, {'task': 'T7', 'start': 21, 'end': 26, 'duration': 5, 'demands': [3, 6, 1]}, {'task': 'T8', 'start': 16, 'end': 21, 'duration': 5, 'demands': [3, 6, 8]}, {'task': 'T9', 'start': 26, 'end': 29, 'duration': 3, 'demands': [4, 3, 3]}, {'task': 'T10', 'start': 21, 'end': 35, 'duration': 14, 'demands': [3, 3, 5]}, {'task': 'T11', 'start': 27, 'end': 28, 'duration': 1, 'demands': [2, 2, 3]}, {'task': 'T12', 'start': 26, 'end': 27, 'duration': 1, 'demands': [6, 1, 3]}, {'task': 'T13', 'start': 35, 'end': 36, 'duration': 1, 'demands': [1, 6, 5]}, {'task': 'T14', 'start': 36, 'end': 38, 'duration': 2, 'demands': [7, 3, 7]}, {'task': 'T15', 'start': 36, 'end': 42, 'duration': 6, 'demands': [4, 4, 6]}, {'task': 'T16', 'start': 42, 'end': 45, 'duration': 3, 'demands': [1, 8, 8]}, {'task': 'T17', 'start': 45, 'end': 46, 'duration': 1, 'demands': [0, 0, 0]}]",4,csv,names
RCPSP,RCPSP,"Someone is running the event and needs to schedule every setup and program piece, knowing each one lasts a set time, uses specific volunteers and tools while active, and may be blocked until earlier pieces finish. The job is to assign start times for all items, making sure every item happens exactly once and the team never needs more volunteers or equipment than available at any instant. The winning schedule is the one that brings the whole event to a finish sooner — check the finish time of the last item, and the lower that clock reading, the better. Full details about the items and resources are shown below.
{
""total_items"": 21,
""total_resource_types"": 3,
""resources"": [
1,
2,
3
],
""resource_capacities"": [
{
""resource_id"": 1,
""capacity"": 13
},
{
""resource_id"": 2,
""capacity"": 10
},
{
""resource_id"": 3,
""capacity"": 14
}
],
""tasks"": [
{
""item_id"": ""T1"",
""duration_minutes"": 1,
""resource_requirements"": [
0,
0,
0
],
""successor_item_ids"": [
""T2"",
""T3""
]
},
{
""item_id"": ""T2"",
""duration_minutes"": 4,
""resource_requirements"": [
4,
10,
1
],
""successor_item_ids"": [
""T6""
]
},
{
""item_id"": ""T3"",
""duration_minutes"": 1,
""resource_requirements"": [
5,
7,
5
],
""successor_item_ids"": [
""T5"",
""T8""
]
},
{
""item_id"": ""T4"",
""duration_minutes"": 6,
""resource_requirements"": [
9,
3,
4
],
""successor_item_ids"": [
""T6"",
""T7""
]
},
{
""item_id"": ""T5"",
""duration_minutes"": 13,
""resource_requirements"": [
3,
2,
5
],
""successor_item_ids"": [
""T9"",
""T10""
]
},
{
""item_id"": ""T6"",
""duration_minutes"": 5,
""resource_requirements"": [
6,
3,
6
],
""successor_item_ids"": [
""T12""
]
},
{
""item_id"": ""T7"",
""duration_minutes"": 4,
""resource_requirements"": [
2,
4,
3
],
""successor_item_ids"": [
""T9"",
""T10""
]
},
{
""item_id"": ""T8"",
""duration_minutes"": 3,
""resource_requirements"": [
2,
3,
4
],
""successor_item_ids"": [
""T9"",
""T10""
]
},
{
""item_id"": ""T9"",
""duration_minutes"": 1,
""resource_requirements"": [
3,
4,
2
],
""successor_item_ids"": [
""T13""
]
},
{
""item_id"": ""T10"",
""duration_minutes"": 2,
""resource_requirements"": [
5,
2,
3
],
""successor_item_ids"": []
},
{
""item_id"": ""T11"",
""duration_minutes"": 3,
""resource_requirements"": [
4,
5,
3
],
""successor_item_ids"": [
""T14""
]
},
{
""item_id"": ""T12"",
""duration_minutes"": 1,
""resource_requirements"": [
4,
1,
5
],
""successor_item_ids"": [
""T13"",
""T15""
]
},
{
""item_id"": ""T13"",
""duration_minutes"": 2,
""resource_requirements"": [
2,
5,
5
],
""successor_item_ids"": [
""T16""
]
},
{
""item_id"": ""T14"",
""duration_minutes"": 9,
""resource_requirements"": [
4,
3,
6
],
""successor_item_ids"": []
},
{
""item_id"": ""T15"",
""duration_minutes"": 1,
""resource_requirements"": [
1,
7,
8
],
""successor_item_ids"": [
""T17""
]
},
{
""item_id"": ""T16"",
""duration_minutes"": 1,
""resource_requirements"": [
6,
3,
7
],
""successor_item_ids"": [
""T20""
]
},
{
""item_id"": ""T17"",
""duration_minutes"": 8,
""resource_requirements"": [
2,
2,
4
],
""successor_item_ids"": [
""T19""
]
},
{
""item_id"": ""T18"",
""duration_minutes"": 4,
""resource_requirements"": [
5,
5,
5
],
""successor_item_ids"": [
""T19""
]
},
{
""item_id"": ""T19"",
""duration_minutes"": 6,
""resource_requirements"": [
2,
6,
4
],
""successor_item_ids"": [
""T21""
]
},
{
""item_id"": ""T20"",
""duration_minutes"": 2,
""resource_requirements"": [
1,
4,
1
],
""successor_item_ids"": [
""T21""
]
},
{
""item_id"": ""T21"",
""duration_minutes"": 1,
""resource_requirements"": [
0,
0,
0
],
""successor_item_ids"": []
}
]
}
When you send back the schedule, just use this simple JSON layout so it's easy to parse and check:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
Think of that as a short form: ""solution"" holds a list of all the items, and each item says which task it is and when it starts and finishes. Keep it informal — task is the item label from the event list, and start/end are the times on the event clock.
This JSON is just a sketch of the shape I need, not the actual schedule — you'll replace the placeholders with the real identifiers and numeric times.
Please make sure to use the exact identifiers from the instance input — do not rename them or invent new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'nr_tasks': 21, 'nr_resources': 3, 'capacities': [13, 10, 14], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2]}, {'duration': 4, 'demands': [4, 10, 1], 'successors': [5]}, {'duration': 1, 'demands': [5, 7, 5], 'successors': [4, 7]}, {'duration': 6, 'demands': [9, 3, 4], 'successors': [5, 6]}, {'duration': 13, 'demands': [3, 2, 5], 'successors': [8, 9]}, {'duration': 5, 'demands': [6, 3, 6], 'successors': [11]}, {'duration': 4, 'demands': [2, 4, 3], 'successors': [8, 9]}, {'duration': 3, 'demands': [2, 3, 4], 'successors': [8, 9]}, {'duration': 1, 'demands': [3, 4, 2], 'successors': [12]}, {'duration': 2, 'demands': [5, 2, 3], 'successors': []}, {'duration': 3, 'demands': [4, 5, 3], 'successors': [13]}, {'duration': 1, 'demands': [4, 1, 5], 'successors': [12, 14]}, {'duration': 2, 'demands': [2, 5, 5], 'successors': [15]}, {'duration': 9, 'demands': [4, 3, 6], 'successors': []}, {'duration': 1, 'demands': [1, 7, 8], 'successors': [16]}, {'duration': 1, 'demands': [6, 3, 7], 'successors': [19]}, {'duration': 8, 'demands': [2, 2, 4], 'successors': [18]}, {'duration': 4, 'demands': [5, 5, 5], 'successors': [18]}, {'duration': 6, 'demands': [2, 6, 4], 'successors': [20]}, {'duration': 2, 'demands': [1, 4, 1], 'successors': [20]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 6, 'end': 10, 'duration': 4, 'demands': [4, 10, 1]}, {'task': 2, 'start': 10, 'end': 11, 'duration': 1, 'demands': [5, 7, 5]}, {'task': 3, 'start': 0, 'end': 6, 'duration': 6, 'demands': [9, 3, 4]}, {'task': 4, 'start': 11, 'end': 24, 'duration': 13, 'demands': [3, 2, 5]}, {'task': 5, 'start': 10, 'end': 15, 'duration': 5, 'demands': [6, 3, 6]}, {'task': 6, 'start': 11, 'end': 15, 'duration': 4, 'demands': [2, 4, 3]}, {'task': 7, 'start': 17, 'end': 20, 'duration': 3, 'demands': [2, 3, 4]}, {'task': 8, 'start': 24, 'end': 25, 'duration': 1, 'demands': [3, 4, 2]}, {'task': 9, 'start': 25, 'end': 27, 'duration': 2, 'demands': [5, 2, 3]}, {'task': 10, 'start': 0, 'end': 3, 'duration': 3, 'demands': [4, 5, 3]}, {'task': 11, 'start': 15, 'end': 16, 'duration': 1, 'demands': [4, 1, 5]}, {'task': 12, 'start': 25, 'end': 27, 'duration': 2, 'demands': [2, 5, 5]}, {'task': 13, 'start': 24, 'end': 33, 'duration': 9, 'demands': [4, 3, 6]}, {'task': 14, 'start': 16, 'end': 17, 'duration': 1, 'demands': [1, 7, 8]}, {'task': 15, 'start': 27, 'end': 28, 'duration': 1, 'demands': [6, 3, 7]}, {'task': 16, 'start': 17, 'end': 25, 'duration': 8, 'demands': [2, 2, 4]}, {'task': 17, 'start': 20, 'end': 24, 'duration': 4, 'demands': [5, 5, 5]}, {'task': 18, 'start': 28, 'end': 34, 'duration': 6, 'demands': [2, 6, 4]}, {'task': 19, 'start': 33, 'end': 35, 'duration': 2, 'demands': [1, 4, 1]}, {'task': 20, 'start': 35, 'end': 36, 'duration': 1, 'demands': [0, 0, 0]}]",36.0,"{'problem_type': 'RCPSP', 'nr_tasks': 21, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18', 'T19', 'T20', 'T21'], 'resources': [1, 2, 3], 'resource_capacities': [{'resource_id': 1, 'capacity': 13}, {'resource_id': 2, 'capacity': 10}, {'resource_id': 3, 'capacity': 14}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3']}, {'task_id': 'T2', 'duration': 4, 'demands': [4, 10, 1], 'successors': ['T6']}, {'task_id': 'T3', 'duration': 1, 'demands': [5, 7, 5], 'successors': ['T5', 'T8']}, {'task_id': 'T4', 'duration': 6, 'demands': [9, 3, 4], 'successors': ['T6', 'T7']}, {'task_id': 'T5', 'duration': 13, 'demands': [3, 2, 5], 'successors': ['T9', 'T10']}, {'task_id': 'T6', 'duration': 5, 'demands': [6, 3, 6], 'successors': ['T12']}, {'task_id': 'T7', 'duration': 4, 'demands': [2, 4, 3], 'successors': ['T9', 'T10']}, {'task_id': 'T8', 'duration': 3, 'demands': [2, 3, 4], 'successors': ['T9', 'T10']}, {'task_id': 'T9', 'duration': 1, 'demands': [3, 4, 2], 'successors': ['T13']}, {'task_id': 'T10', 'duration': 2, 'demands': [5, 2, 3], 'successors': []}, {'task_id': 'T11', 'duration': 3, 'demands': [4, 5, 3], 'successors': ['T14']}, {'task_id': 'T12', 'duration': 1, 'demands': [4, 1, 5], 'successors': ['T13', 'T15']}, {'task_id': 'T13', 'duration': 2, 'demands': [2, 5, 5], 'successors': ['T16']}, {'task_id': 'T14', 'duration': 9, 'demands': [4, 3, 6], 'successors': []}, {'task_id': 'T15', 'duration': 1, 'demands': [1, 7, 8], 'successors': ['T17']}, {'task_id': 'T16', 'duration': 1, 'demands': [6, 3, 7], 'successors': ['T20']}, {'task_id': 'T17', 'duration': 8, 'demands': [2, 2, 4], 'successors': ['T19']}, {'task_id': 'T18', 'duration': 4, 'demands': [5, 5, 5], 'successors': ['T19']}, {'task_id': 'T19', 'duration': 6, 'demands': [2, 6, 4], 'successors': ['T21']}, {'task_id': 'T20', 'duration': 2, 'demands': [1, 4, 1], 'successors': ['T21']}, {'task_id': 'T21', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 6, 'end': 10, 'duration': 4, 'demands': [4, 10, 1]}, {'task': 'T3', 'start': 10, 'end': 11, 'duration': 1, 'demands': [5, 7, 5]}, {'task': 'T4', 'start': 0, 'end': 6, 'duration': 6, 'demands': [9, 3, 4]}, {'task': 'T5', 'start': 11, 'end': 24, 'duration': 13, 'demands': [3, 2, 5]}, {'task': 'T6', 'start': 10, 'end': 15, 'duration': 5, 'demands': [6, 3, 6]}, {'task': 'T7', 'start': 11, 'end': 15, 'duration': 4, 'demands': [2, 4, 3]}, {'task': 'T8', 'start': 17, 'end': 20, 'duration': 3, 'demands': [2, 3, 4]}, {'task': 'T9', 'start': 24, 'end': 25, 'duration': 1, 'demands': [3, 4, 2]}, {'task': 'T10', 'start': 25, 'end': 27, 'duration': 2, 'demands': [5, 2, 3]}, {'task': 'T11', 'start': 0, 'end': 3, 'duration': 3, 'demands': [4, 5, 3]}, {'task': 'T12', 'start': 15, 'end': 16, 'duration': 1, 'demands': [4, 1, 5]}, {'task': 'T13', 'start': 25, 'end': 27, 'duration': 2, 'demands': [2, 5, 5]}, {'task': 'T14', 'start': 24, 'end': 33, 'duration': 9, 'demands': [4, 3, 6]}, {'task': 'T15', 'start': 16, 'end': 17, 'duration': 1, 'demands': [1, 7, 8]}, {'task': 'T16', 'start': 27, 'end': 28, 'duration': 1, 'demands': [6, 3, 7]}, {'task': 'T17', 'start': 17, 'end': 25, 'duration': 8, 'demands': [2, 2, 4]}, {'task': 'T18', 'start': 20, 'end': 24, 'duration': 4, 'demands': [5, 5, 5]}, {'task': 'T19', 'start': 28, 'end': 34, 'duration': 6, 'demands': [2, 6, 4]}, {'task': 'T20', 'start': 33, 'end': 35, 'duration': 2, 'demands': [1, 4, 1]}, {'task': 'T21', 'start': 35, 'end': 36, 'duration': 1, 'demands': [0, 0, 0]}]",5,json,1
RCPSP,RCPSP,"There’s a busy workshop where every task has a known duration, uses some combination of machines and operators while it runs, and often can’t begin until a previous task is complete. The choice to make is the start time for each task so simultaneous tasks don’t exceed the available equipment or staff and so the required order of steps is preserved. A plan is judged by how quickly the last task finishes — compute each task’s finish as its start plus its run time, take the latest one, and the lower that final number the better. All tasks must be scheduled once and only once, and the specific job list and resource numbers follow below.
There are 21 operations, 3 resource types, with capacities .
| resource_id | capacity |
|---|---|
| 0 | 11 |
| 1 | 12 |
| 2 | 13 |
| operation_id | processing_time | resource_requirements | immediate_successors |
|---|---|---|---|
| T1 | 3 | 4, 8, 3 | T4, T7 |
| T2 | 4 | 3, 8, 5 | T4, T7 |
| T3 | 5 | 3, 3, 2 | T4, T5, T6 |
| T4 | 9 | 3, 1, 5 | T8, T9, T11 |
| T5 | 3 | 7, 8, 4 | T8, T9 |
| T6 | 4 | 4, 4, 3 | T8, T10 |
| T7 | 2 | 4, 3, 3 | T9, T10 |
| T8 | 7 | 4, 3, 1 | T13, T14 |
| T9 | 4 | 3, 3, 4 | T13 |
| T10 | 6 | 2, 3, 2 | T12 |
| T11 | 7 | 7, 2, 7 | T12, T15 |
| T12 | 2 | 1, 5, 5 | T16 |
| T13 | 1 | 2, 4, 3 | T16 |
| T14 | 1 | 3, 9, 4 | T16, T18 |
| T15 | 3 | 1, 9, 3 | T17 |
| T16 | 4 | 3, 7, 7 | T19 |
| T17 | 3 | 4, 3, 4 | none |
| T18 | 5 | 5, 5, 4 | T19 |
| T19 | 7 | 1, 12, 3 | T21 |
| T20 | 1 | 0, 1, 3 | none |
| T21 | 2 | 2, 1, 3 | none |
Schedule each operation exactly once, respecting resource capacities and precedence constraints, aiming to minimize the finish time of the last operation.
You can return the schedule in a simple JSON shape — nothing fancy — just a list of tasks with their start and end times, for example:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
This shows the structure I expect: ""solution"" is an array of entries, and each entry is a task record with the task identifier plus the start and end times (end would be the start plus the task's duration). Treat it like a little form for each job.
Note that the JSON above is just a sketch of the expected shape — not the actual schedule. When you submit your answer, fill in the real task identifiers and times.
All identifiers must be used exactly as they appear in the instance input — no renaming and no new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'nr_tasks': 21, 'nr_resources': 3, 'capacities': [11, 12, 13], 'tasks': [{'duration': 3, 'demands': [4, 8, 3], 'successors': [3, 6]}, {'duration': 4, 'demands': [3, 8, 5], 'successors': [3, 6]}, {'duration': 5, 'demands': [3, 3, 2], 'successors': [3, 4, 5]}, {'duration': 9, 'demands': [3, 1, 5], 'successors': [7, 8, 10]}, {'duration': 3, 'demands': [7, 8, 4], 'successors': [7, 8]}, {'duration': 4, 'demands': [4, 4, 3], 'successors': [7, 9]}, {'duration': 2, 'demands': [4, 3, 3], 'successors': [8, 9]}, {'duration': 7, 'demands': [4, 3, 1], 'successors': [12, 13]}, {'duration': 4, 'demands': [3, 3, 4], 'successors': [12]}, {'duration': 6, 'demands': [2, 3, 2], 'successors': [11]}, {'duration': 7, 'demands': [7, 2, 7], 'successors': [11, 14]}, {'duration': 2, 'demands': [1, 5, 5], 'successors': [15]}, {'duration': 1, 'demands': [2, 4, 3], 'successors': [15]}, {'duration': 1, 'demands': [3, 9, 4], 'successors': [15, 17]}, {'duration': 3, 'demands': [1, 9, 3], 'successors': [16]}, {'duration': 4, 'demands': [3, 7, 7], 'successors': [18]}, {'duration': 3, 'demands': [4, 3, 4], 'successors': []}, {'duration': 5, 'demands': [5, 5, 4], 'successors': [18]}, {'duration': 7, 'demands': [1, 12, 3], 'successors': [20]}, {'duration': 1, 'demands': [0, 1, 3], 'successors': []}, {'duration': 2, 'demands': [2, 1, 3], 'successors': []}]}","[{'task': 0, 'start': 4, 'end': 7, 'duration': 3, 'demands': [4, 8, 3]}, {'task': 1, 'start': 0, 'end': 4, 'duration': 4, 'demands': [3, 8, 5]}, {'task': 2, 'start': 0, 'end': 5, 'duration': 5, 'demands': [3, 3, 2]}, {'task': 3, 'start': 7, 'end': 16, 'duration': 9, 'demands': [3, 1, 5]}, {'task': 4, 'start': 9, 'end': 12, 'duration': 3, 'demands': [7, 8, 4]}, {'task': 5, 'start': 5, 'end': 9, 'duration': 4, 'demands': [4, 4, 3]}, {'task': 6, 'start': 7, 'end': 9, 'duration': 2, 'demands': [4, 3, 3]}, {'task': 7, 'start': 18, 'end': 25, 'duration': 7, 'demands': [4, 3, 1]}, {'task': 8, 'start': 25, 'end': 29, 'duration': 4, 'demands': [3, 3, 4]}, {'task': 9, 'start': 12, 'end': 18, 'duration': 6, 'demands': [2, 3, 2]}, {'task': 10, 'start': 16, 'end': 23, 'duration': 7, 'demands': [7, 2, 7]}, {'task': 11, 'start': 27, 'end': 29, 'duration': 2, 'demands': [1, 5, 5]}, {'task': 12, 'start': 29, 'end': 30, 'duration': 1, 'demands': [2, 4, 3]}, {'task': 13, 'start': 26, 'end': 27, 'duration': 1, 'demands': [3, 9, 4]}, {'task': 14, 'start': 23, 'end': 26, 'duration': 3, 'demands': [1, 9, 3]}, {'task': 15, 'start': 30, 'end': 34, 'duration': 4, 'demands': [3, 7, 7]}, {'task': 16, 'start': 27, 'end': 30, 'duration': 3, 'demands': [4, 3, 4]}, {'task': 17, 'start': 29, 'end': 34, 'duration': 5, 'demands': [5, 5, 4]}, {'task': 18, 'start': 34, 'end': 41, 'duration': 7, 'demands': [1, 12, 3]}, {'task': 19, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 1, 3]}, {'task': 20, 'start': 41, 'end': 43, 'duration': 2, 'demands': [2, 1, 3]}]",43.0,"{'problem_type': 'RCPSP', 'nr_tasks': 21, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18', 'T19', 'T20', 'T21'], 'resources': [0, 1, 2], 'resource_capacities': [{'resource_id': 0, 'capacity': 11}, {'resource_id': 1, 'capacity': 12}, {'resource_id': 2, 'capacity': 13}], 'task_records': [{'task_id': 'T1', 'duration': 3, 'demands': [4, 8, 3], 'successors': ['T4', 'T7']}, {'task_id': 'T2', 'duration': 4, 'demands': [3, 8, 5], 'successors': ['T4', 'T7']}, {'task_id': 'T3', 'duration': 5, 'demands': [3, 3, 2], 'successors': ['T4', 'T5', 'T6']}, {'task_id': 'T4', 'duration': 9, 'demands': [3, 1, 5], 'successors': ['T8', 'T9', 'T11']}, {'task_id': 'T5', 'duration': 3, 'demands': [7, 8, 4], 'successors': ['T8', 'T9']}, {'task_id': 'T6', 'duration': 4, 'demands': [4, 4, 3], 'successors': ['T8', 'T10']}, {'task_id': 'T7', 'duration': 2, 'demands': [4, 3, 3], 'successors': ['T9', 'T10']}, {'task_id': 'T8', 'duration': 7, 'demands': [4, 3, 1], 'successors': ['T13', 'T14']}, {'task_id': 'T9', 'duration': 4, 'demands': [3, 3, 4], 'successors': ['T13']}, {'task_id': 'T10', 'duration': 6, 'demands': [2, 3, 2], 'successors': ['T12']}, {'task_id': 'T11', 'duration': 7, 'demands': [7, 2, 7], 'successors': ['T12', 'T15']}, {'task_id': 'T12', 'duration': 2, 'demands': [1, 5, 5], 'successors': ['T16']}, {'task_id': 'T13', 'duration': 1, 'demands': [2, 4, 3], 'successors': ['T16']}, {'task_id': 'T14', 'duration': 1, 'demands': [3, 9, 4], 'successors': ['T16', 'T18']}, {'task_id': 'T15', 'duration': 3, 'demands': [1, 9, 3], 'successors': ['T17']}, {'task_id': 'T16', 'duration': 4, 'demands': [3, 7, 7], 'successors': ['T19']}, {'task_id': 'T17', 'duration': 3, 'demands': [4, 3, 4], 'successors': []}, {'task_id': 'T18', 'duration': 5, 'demands': [5, 5, 4], 'successors': ['T19']}, {'task_id': 'T19', 'duration': 7, 'demands': [1, 12, 3], 'successors': ['T21']}, {'task_id': 'T20', 'duration': 1, 'demands': [0, 1, 3], 'successors': []}, {'task_id': 'T21', 'duration': 2, 'demands': [2, 1, 3], 'successors': []}]}","[{'task': 'T1', 'start': 4, 'end': 7, 'duration': 3, 'demands': [4, 8, 3]}, {'task': 'T2', 'start': 0, 'end': 4, 'duration': 4, 'demands': [3, 8, 5]}, {'task': 'T3', 'start': 0, 'end': 5, 'duration': 5, 'demands': [3, 3, 2]}, {'task': 'T4', 'start': 7, 'end': 16, 'duration': 9, 'demands': [3, 1, 5]}, {'task': 'T5', 'start': 9, 'end': 12, 'duration': 3, 'demands': [7, 8, 4]}, {'task': 'T6', 'start': 5, 'end': 9, 'duration': 4, 'demands': [4, 4, 3]}, {'task': 'T7', 'start': 7, 'end': 9, 'duration': 2, 'demands': [4, 3, 3]}, {'task': 'T8', 'start': 18, 'end': 25, 'duration': 7, 'demands': [4, 3, 1]}, {'task': 'T9', 'start': 25, 'end': 29, 'duration': 4, 'demands': [3, 3, 4]}, {'task': 'T10', 'start': 12, 'end': 18, 'duration': 6, 'demands': [2, 3, 2]}, {'task': 'T11', 'start': 16, 'end': 23, 'duration': 7, 'demands': [7, 2, 7]}, {'task': 'T12', 'start': 27, 'end': 29, 'duration': 2, 'demands': [1, 5, 5]}, {'task': 'T13', 'start': 29, 'end': 30, 'duration': 1, 'demands': [2, 4, 3]}, {'task': 'T14', 'start': 26, 'end': 27, 'duration': 1, 'demands': [3, 9, 4]}, {'task': 'T15', 'start': 23, 'end': 26, 'duration': 3, 'demands': [1, 9, 3]}, {'task': 'T16', 'start': 30, 'end': 34, 'duration': 4, 'demands': [3, 7, 7]}, {'task': 'T17', 'start': 27, 'end': 30, 'duration': 3, 'demands': [4, 3, 4]}, {'task': 'T18', 'start': 29, 'end': 34, 'duration': 5, 'demands': [5, 5, 4]}, {'task': 'T19', 'start': 34, 'end': 41, 'duration': 7, 'demands': [1, 12, 3]}, {'task': 'T20', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 1, 3]}, {'task': 'T21', 'start': 41, 'end': 43, 'duration': 2, 'demands': [2, 1, 3]}]",6,markdown_table,0
RCPSP,RCPSP,"Picture this: the head nurse has a list of fixed-time procedures, each of which consumes one or more operating rooms and staff members while it runs, and several procedures are chained so one can’t start until another has finished. The task is simply choosing start times so no rooms or staff are double-booked, every dependency is honored, and every procedure is scheduled once. A clearer plan is the one where the whole set of procedures is done sooner — find each procedure’s end by adding its duration to its start, then take the latest of those end times; a smaller latest end time means a better schedule. The precise patient procedures, their lengths, resource capacities, and ordering constraints are shown below.
There are 20 procedures to schedule using 3 resource types with capacities .
Procedure T1 runs for 1 time units, consumes 0, 0, 0 of the resources while running, and must finish before its successor procedures T2, T3, T4 can start.
Procedure T2 runs for 6 time units, consumes 5, 6, 1 of the resources while running, and must finish before its successor procedures T5, T8 can start.
Procedure T3 runs for 9 time units, consumes 7, 5, 2 of the resources while running, and must finish before its successor procedures T5, T8 can start.
Procedure T4 runs for 5 time units, consumes 7, 3, 2 of the resources while running, and must finish before its successor procedures T6, T8 can start.
Procedure T5 runs for 2 time units, consumes 5, 1, 6 of the resources while running, and must finish before its successor procedures T9 can start.
Procedure T6 runs for 2 time units, consumes 3, 7, 8 of the resources while running, and must finish before its successor procedures none can start.
Procedure T7 runs for 9 time units, consumes 2, 4, 2 of the resources while running, and must finish before its successor procedures T9, T10 can start.
Procedure T8 runs for 1 time units, consumes 4, 7, 6 of the resources while running, and must finish before its successor procedures T9, T10 can start.
Procedure T9 runs for 6 time units, consumes 3, 2, 3 of the resources while running, and must finish before its successor procedures T11 can start.
Procedure T10 runs for 5 time units, consumes 4, 1, 3 of the resources while running, and must finish before its successor procedures T11 can start.
Procedure T11 runs for 5 time units, consumes 1, 2, 4 of the resources while running, and must finish before its successor procedures T14 can start.
Procedure T12 runs for 4 time units, consumes 1, 9, 3 of the resources while running, and must finish before its successor procedures T13 can start.
Procedure T13 runs for 6 time units, consumes 5, 4, 3 of the resources while running, and must finish before its successor procedures T16 can start.
Procedure T14 runs for 4 time units, consumes 7, 6, 4 of the resources while running, and must finish before its successor procedures T17 can start.
Procedure T15 runs for 4 time units, consumes 1, 3, 3 of the resources while running, and must finish before its successor procedures T18 can start.
Procedure T16 runs for 9 time units, consumes 3, 4, 1 of the resources while running, and must finish before its successor procedures T18 can start.
Procedure T17 runs for 7 time units, consumes 1, 0, 5 of the resources while running, and must finish before its successor procedures T19 can start.
Procedure T18 runs for 6 time units, consumes 0, 2, 5 of the resources while running, and must finish before its successor procedures T20 can start.
Procedure T19 runs for 5 time units, consumes 4, 2, 2 of the resources while running, and must finish before its successor procedures T20 can start.
Procedure T20 runs for 1 time units, consumes 0, 0, 0 of the resources while running, and must finish before its successor procedures none can start.
The head nurse will choose start times that respect these 20 procedures, the 3 resource capacities , and all precedence links, aiming to minimize the latest completion time.
Also, to keep things machine-friendly and easy to check, please return the schedule using this simple JSON layout:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
It's just a little form: ""solution"" is a list, and each entry has the task identifier plus its start and end times. Think of each entry like a line on the schedule — which procedure, when it starts, and when it finishes. This is just the shape I expect, not the actual filled-in schedule.
Please make sure to use the exact task identifiers from the instance input — do not rename them or introduce new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'nr_tasks': 20, 'nr_resources': 3, 'capacities': [16, 12, 12], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2, 3]}, {'duration': 6, 'demands': [5, 6, 1], 'successors': [4, 7]}, {'duration': 9, 'demands': [7, 5, 2], 'successors': [4, 7]}, {'duration': 5, 'demands': [7, 3, 2], 'successors': [5, 7]}, {'duration': 2, 'demands': [5, 1, 6], 'successors': [8]}, {'duration': 2, 'demands': [3, 7, 8], 'successors': []}, {'duration': 9, 'demands': [2, 4, 2], 'successors': [8, 9]}, {'duration': 1, 'demands': [4, 7, 6], 'successors': [8, 9]}, {'duration': 6, 'demands': [3, 2, 3], 'successors': [10]}, {'duration': 5, 'demands': [4, 1, 3], 'successors': [10]}, {'duration': 5, 'demands': [1, 2, 4], 'successors': [13]}, {'duration': 4, 'demands': [1, 9, 3], 'successors': [12]}, {'duration': 6, 'demands': [5, 4, 3], 'successors': [15]}, {'duration': 4, 'demands': [7, 6, 4], 'successors': [16]}, {'duration': 4, 'demands': [1, 3, 3], 'successors': [17]}, {'duration': 9, 'demands': [3, 4, 1], 'successors': [17]}, {'duration': 7, 'demands': [1, 0, 5], 'successors': [18]}, {'duration': 6, 'demands': [0, 2, 5], 'successors': [19]}, {'duration': 5, 'demands': [4, 2, 2], 'successors': [19]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 1, 'end': 7, 'duration': 6, 'demands': [5, 6, 1]}, {'task': 2, 'start': 4, 'end': 13, 'duration': 9, 'demands': [7, 5, 2]}, {'task': 3, 'start': 7, 'end': 12, 'duration': 5, 'demands': [7, 3, 2]}, {'task': 4, 'start': 13, 'end': 15, 'duration': 2, 'demands': [5, 1, 6]}, {'task': 5, 'start': 41, 'end': 43, 'duration': 2, 'demands': [3, 7, 8]}, {'task': 6, 'start': 7, 'end': 16, 'duration': 9, 'demands': [2, 4, 2]}, {'task': 7, 'start': 15, 'end': 16, 'duration': 1, 'demands': [4, 7, 6]}, {'task': 8, 'start': 16, 'end': 22, 'duration': 6, 'demands': [3, 2, 3]}, {'task': 9, 'start': 16, 'end': 21, 'duration': 5, 'demands': [4, 1, 3]}, {'task': 10, 'start': 22, 'end': 27, 'duration': 5, 'demands': [1, 2, 4]}, {'task': 11, 'start': 16, 'end': 20, 'duration': 4, 'demands': [1, 9, 3]}, {'task': 12, 'start': 20, 'end': 26, 'duration': 6, 'demands': [5, 4, 3]}, {'task': 13, 'start': 27, 'end': 31, 'duration': 4, 'demands': [7, 6, 4]}, {'task': 14, 'start': 0, 'end': 4, 'duration': 4, 'demands': [1, 3, 3]}, {'task': 15, 'start': 26, 'end': 35, 'duration': 9, 'demands': [3, 4, 1]}, {'task': 16, 'start': 31, 'end': 38, 'duration': 7, 'demands': [1, 0, 5]}, {'task': 17, 'start': 35, 'end': 41, 'duration': 6, 'demands': [0, 2, 5]}, {'task': 18, 'start': 38, 'end': 43, 'duration': 5, 'demands': [4, 2, 2]}, {'task': 19, 'start': 43, 'end': 44, 'duration': 1, 'demands': [0, 0, 0]}]",44.0,"{'problem_type': 'RCPSP', 'nr_tasks': 20, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18', 'T19', 'T20'], 'resources': [0, 1, 2], 'resource_capacities': [{'resource_id': 0, 'capacity': 16}, {'resource_id': 1, 'capacity': 12}, {'resource_id': 2, 'capacity': 12}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3', 'T4']}, {'task_id': 'T2', 'duration': 6, 'demands': [5, 6, 1], 'successors': ['T5', 'T8']}, {'task_id': 'T3', 'duration': 9, 'demands': [7, 5, 2], 'successors': ['T5', 'T8']}, {'task_id': 'T4', 'duration': 5, 'demands': [7, 3, 2], 'successors': ['T6', 'T8']}, {'task_id': 'T5', 'duration': 2, 'demands': [5, 1, 6], 'successors': ['T9']}, {'task_id': 'T6', 'duration': 2, 'demands': [3, 7, 8], 'successors': []}, {'task_id': 'T7', 'duration': 9, 'demands': [2, 4, 2], 'successors': ['T9', 'T10']}, {'task_id': 'T8', 'duration': 1, 'demands': [4, 7, 6], 'successors': ['T9', 'T10']}, {'task_id': 'T9', 'duration': 6, 'demands': [3, 2, 3], 'successors': ['T11']}, {'task_id': 'T10', 'duration': 5, 'demands': [4, 1, 3], 'successors': ['T11']}, {'task_id': 'T11', 'duration': 5, 'demands': [1, 2, 4], 'successors': ['T14']}, {'task_id': 'T12', 'duration': 4, 'demands': [1, 9, 3], 'successors': ['T13']}, {'task_id': 'T13', 'duration': 6, 'demands': [5, 4, 3], 'successors': ['T16']}, {'task_id': 'T14', 'duration': 4, 'demands': [7, 6, 4], 'successors': ['T17']}, {'task_id': 'T15', 'duration': 4, 'demands': [1, 3, 3], 'successors': ['T18']}, {'task_id': 'T16', 'duration': 9, 'demands': [3, 4, 1], 'successors': ['T18']}, {'task_id': 'T17', 'duration': 7, 'demands': [1, 0, 5], 'successors': ['T19']}, {'task_id': 'T18', 'duration': 6, 'demands': [0, 2, 5], 'successors': ['T20']}, {'task_id': 'T19', 'duration': 5, 'demands': [4, 2, 2], 'successors': ['T20']}, {'task_id': 'T20', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 1, 'end': 7, 'duration': 6, 'demands': [5, 6, 1]}, {'task': 'T3', 'start': 4, 'end': 13, 'duration': 9, 'demands': [7, 5, 2]}, {'task': 'T4', 'start': 7, 'end': 12, 'duration': 5, 'demands': [7, 3, 2]}, {'task': 'T5', 'start': 13, 'end': 15, 'duration': 2, 'demands': [5, 1, 6]}, {'task': 'T6', 'start': 41, 'end': 43, 'duration': 2, 'demands': [3, 7, 8]}, {'task': 'T7', 'start': 7, 'end': 16, 'duration': 9, 'demands': [2, 4, 2]}, {'task': 'T8', 'start': 15, 'end': 16, 'duration': 1, 'demands': [4, 7, 6]}, {'task': 'T9', 'start': 16, 'end': 22, 'duration': 6, 'demands': [3, 2, 3]}, {'task': 'T10', 'start': 16, 'end': 21, 'duration': 5, 'demands': [4, 1, 3]}, {'task': 'T11', 'start': 22, 'end': 27, 'duration': 5, 'demands': [1, 2, 4]}, {'task': 'T12', 'start': 16, 'end': 20, 'duration': 4, 'demands': [1, 9, 3]}, {'task': 'T13', 'start': 20, 'end': 26, 'duration': 6, 'demands': [5, 4, 3]}, {'task': 'T14', 'start': 27, 'end': 31, 'duration': 4, 'demands': [7, 6, 4]}, {'task': 'T15', 'start': 0, 'end': 4, 'duration': 4, 'demands': [1, 3, 3]}, {'task': 'T16', 'start': 26, 'end': 35, 'duration': 9, 'demands': [3, 4, 1]}, {'task': 'T17', 'start': 31, 'end': 38, 'duration': 7, 'demands': [1, 0, 5]}, {'task': 'T18', 'start': 35, 'end': 41, 'duration': 6, 'demands': [0, 2, 5]}, {'task': 'T19', 'start': 38, 'end': 43, 'duration': 5, 'demands': [4, 2, 2]}, {'task': 'T20', 'start': 43, 'end': 44, 'duration': 1, 'demands': [0, 0, 0]}]",7,nl,0
RCPSP,RCPSP,"Recently the foreman sat down with a whiteboard of repairs: fixed-duration jobs, each consuming some cranes and crews while active, and a few that can’t start until others are completed. The work is to place every job on the timeline exactly once, respect those “finish-before” links, and never let the running jobs demand more cranes or people than are on hand. The straightforward measure of a good plan is when the last job is completed — the earlier that moment, the better. The exact jobs, durations and available cranes/crews are listed below.
{
""total_jobs_count"": 20,
""resource_types_count"": 3,
""resources"": [
""A"",
""B"",
""C""
],
""resource_capacities"": [
{
""resource_id"": ""A"",
""capacity"": 12
},
{
""resource_id"": ""B"",
""capacity"": 12
},
{
""resource_id"": ""C"",
""capacity"": 10
}
],
""tasks"": [
{
""job_id"": ""T1"",
""job_duration"": 1,
""resource_demands"": [
0,
0,
0
],
""successor_job_ids"": [
""T2"",
""T3"",
""T4""
]
},
{
""job_id"": ""T2"",
""job_duration"": 5,
""resource_demands"": [
5,
8,
2
],
""successor_job_ids"": [
""T7"",
""T8""
]
},
{
""job_id"": ""T3"",
""job_duration"": 2,
""resource_demands"": [
3,
5,
2
],
""successor_job_ids"": [
""T5"",
""T7""
]
},
{
""job_id"": ""T4"",
""job_duration"": 9,
""resource_demands"": [
5,
2,
1
],
""successor_job_ids"": [
""T5"",
""T6""
]
},
{
""job_id"": ""T5"",
""job_duration"": 11,
""resource_demands"": [
3,
2,
4
],
""successor_job_ids"": [
""T11""
]
},
{
""job_id"": ""T6"",
""job_duration"": 5,
""resource_demands"": [
7,
10,
6
],
""successor_job_ids"": [
""T10"",
""T12""
]
},
{
""job_id"": ""T7"",
""job_duration"": 1,
""resource_demands"": [
3,
7,
3
],
""successor_job_ids"": [
""T10"",
""T11""
]
},
{
""job_id"": ""T8"",
""job_duration"": 7,
""resource_demands"": [
4,
5,
5
],
""successor_job_ids"": [
""T11"",
""T12""
]
},
{
""job_id"": ""T9"",
""job_duration"": 1,
""resource_demands"": [
2,
4,
2
],
""successor_job_ids"": [
""T13"",
""T14""
]
},
{
""job_id"": ""T10"",
""job_duration"": 3,
""resource_demands"": [
6,
2,
6
],
""successor_job_ids"": [
""T13""
]
},
{
""job_id"": ""T11"",
""job_duration"": 2,
""resource_demands"": [
3,
6,
3
],
""successor_job_ids"": [
""T13""
]
},
{
""job_id"": ""T12"",
""job_duration"": 1,
""resource_demands"": [
7,
1,
8
],
""successor_job_ids"": [
""T13""
]
},
{
""job_id"": ""T13"",
""job_duration"": 4,
""resource_demands"": [
2,
4,
2
],
""successor_job_ids"": [
""T15""
]
},
{
""job_id"": ""T14"",
""job_duration"": 4,
""resource_demands"": [
1,
5,
3
],
""successor_job_ids"": [
""T16"",
""T17""
]
},
{
""job_id"": ""T15"",
""job_duration"": 5,
""resource_demands"": [
5,
6,
3
],
""successor_job_ids"": []
},
{
""job_id"": ""T16"",
""job_duration"": 2,
""resource_demands"": [
2,
4,
3
],
""successor_job_ids"": [
""T18"",
""T19""
]
},
{
""job_id"": ""T17"",
""job_duration"": 2,
""resource_demands"": [
7,
2,
2
],
""successor_job_ids"": []
},
{
""job_id"": ""T18"",
""job_duration"": 1,
""resource_demands"": [
1,
7,
4
],
""successor_job_ids"": [
""T20""
]
},
{
""job_id"": ""T19"",
""job_duration"": 6,
""resource_demands"": [
2,
12,
1
],
""successor_job_ids"": [
""T20""
]
},
{
""job_id"": ""T20"",
""job_duration"": 1,
""resource_demands"": [
0,
0,
0
],
""successor_job_ids"": []
}
]
}
Oh, and when you're ready to hand the schedule back, just use this little JSON shape so it's easy to parse and check:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
Think of each object in the ""solution"" list as one job on the timeline: the task identifier, when it starts, and when it finishes. It's just a simple form — list every task once with its start and end times. This block is only a sketch of the expected shape, not the actual filled-in schedule.
Please use the exact task identifiers from the instance input — don't rename them and don't invent new labels. Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'nr_tasks': 20, 'nr_resources': 3, 'capacities': [12, 12, 10], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2, 3]}, {'duration': 5, 'demands': [5, 8, 2], 'successors': [6, 7]}, {'duration': 2, 'demands': [3, 5, 2], 'successors': [4, 6]}, {'duration': 9, 'demands': [5, 2, 1], 'successors': [4, 5]}, {'duration': 11, 'demands': [3, 2, 4], 'successors': [10]}, {'duration': 5, 'demands': [7, 10, 6], 'successors': [9, 11]}, {'duration': 1, 'demands': [3, 7, 3], 'successors': [9, 10]}, {'duration': 7, 'demands': [4, 5, 5], 'successors': [10, 11]}, {'duration': 1, 'demands': [2, 4, 2], 'successors': [12, 13]}, {'duration': 3, 'demands': [6, 2, 6], 'successors': [12]}, {'duration': 2, 'demands': [3, 6, 3], 'successors': [12]}, {'duration': 1, 'demands': [7, 1, 8], 'successors': [12]}, {'duration': 4, 'demands': [2, 4, 2], 'successors': [14]}, {'duration': 4, 'demands': [1, 5, 3], 'successors': [15, 16]}, {'duration': 5, 'demands': [5, 6, 3], 'successors': []}, {'duration': 2, 'demands': [2, 4, 3], 'successors': [17, 18]}, {'duration': 2, 'demands': [7, 2, 2], 'successors': []}, {'duration': 1, 'demands': [1, 7, 4], 'successors': [19]}, {'duration': 6, 'demands': [2, 12, 1], 'successors': [19]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 1, 'end': 6, 'duration': 5, 'demands': [5, 8, 2]}, {'task': 2, 'start': 6, 'end': 8, 'duration': 2, 'demands': [3, 5, 2]}, {'task': 3, 'start': 1, 'end': 10, 'duration': 9, 'demands': [5, 2, 1]}, {'task': 4, 'start': 10, 'end': 21, 'duration': 11, 'demands': [3, 2, 4]}, {'task': 5, 'start': 16, 'end': 21, 'duration': 5, 'demands': [7, 10, 6]}, {'task': 6, 'start': 15, 'end': 16, 'duration': 1, 'demands': [3, 7, 3]}, {'task': 7, 'start': 8, 'end': 15, 'duration': 7, 'demands': [4, 5, 5]}, {'task': 8, 'start': 0, 'end': 1, 'duration': 1, 'demands': [2, 4, 2]}, {'task': 9, 'start': 22, 'end': 25, 'duration': 3, 'demands': [6, 2, 6]}, {'task': 10, 'start': 22, 'end': 24, 'duration': 2, 'demands': [3, 6, 3]}, {'task': 11, 'start': 21, 'end': 22, 'duration': 1, 'demands': [7, 1, 8]}, {'task': 12, 'start': 25, 'end': 29, 'duration': 4, 'demands': [2, 4, 2]}, {'task': 13, 'start': 6, 'end': 10, 'duration': 4, 'demands': [1, 5, 3]}, {'task': 14, 'start': 35, 'end': 40, 'duration': 5, 'demands': [5, 6, 3]}, {'task': 15, 'start': 24, 'end': 26, 'duration': 2, 'demands': [2, 4, 3]}, {'task': 16, 'start': 25, 'end': 27, 'duration': 2, 'demands': [7, 2, 2]}, {'task': 17, 'start': 27, 'end': 28, 'duration': 1, 'demands': [1, 7, 4]}, {'task': 18, 'start': 29, 'end': 35, 'duration': 6, 'demands': [2, 12, 1]}, {'task': 19, 'start': 35, 'end': 36, 'duration': 1, 'demands': [0, 0, 0]}]",40.0,"{'problem_type': 'RCPSP', 'nr_tasks': 20, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18', 'T19', 'T20'], 'resources': ['A', 'B', 'C'], 'resource_capacities': [{'resource_id': 'A', 'capacity': 12}, {'resource_id': 'B', 'capacity': 12}, {'resource_id': 'C', 'capacity': 10}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3', 'T4']}, {'task_id': 'T2', 'duration': 5, 'demands': [5, 8, 2], 'successors': ['T7', 'T8']}, {'task_id': 'T3', 'duration': 2, 'demands': [3, 5, 2], 'successors': ['T5', 'T7']}, {'task_id': 'T4', 'duration': 9, 'demands': [5, 2, 1], 'successors': ['T5', 'T6']}, {'task_id': 'T5', 'duration': 11, 'demands': [3, 2, 4], 'successors': ['T11']}, {'task_id': 'T6', 'duration': 5, 'demands': [7, 10, 6], 'successors': ['T10', 'T12']}, {'task_id': 'T7', 'duration': 1, 'demands': [3, 7, 3], 'successors': ['T10', 'T11']}, {'task_id': 'T8', 'duration': 7, 'demands': [4, 5, 5], 'successors': ['T11', 'T12']}, {'task_id': 'T9', 'duration': 1, 'demands': [2, 4, 2], 'successors': ['T13', 'T14']}, {'task_id': 'T10', 'duration': 3, 'demands': [6, 2, 6], 'successors': ['T13']}, {'task_id': 'T11', 'duration': 2, 'demands': [3, 6, 3], 'successors': ['T13']}, {'task_id': 'T12', 'duration': 1, 'demands': [7, 1, 8], 'successors': ['T13']}, {'task_id': 'T13', 'duration': 4, 'demands': [2, 4, 2], 'successors': ['T15']}, {'task_id': 'T14', 'duration': 4, 'demands': [1, 5, 3], 'successors': ['T16', 'T17']}, {'task_id': 'T15', 'duration': 5, 'demands': [5, 6, 3], 'successors': []}, {'task_id': 'T16', 'duration': 2, 'demands': [2, 4, 3], 'successors': ['T18', 'T19']}, {'task_id': 'T17', 'duration': 2, 'demands': [7, 2, 2], 'successors': []}, {'task_id': 'T18', 'duration': 1, 'demands': [1, 7, 4], 'successors': ['T20']}, {'task_id': 'T19', 'duration': 6, 'demands': [2, 12, 1], 'successors': ['T20']}, {'task_id': 'T20', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 1, 'end': 6, 'duration': 5, 'demands': [5, 8, 2]}, {'task': 'T3', 'start': 6, 'end': 8, 'duration': 2, 'demands': [3, 5, 2]}, {'task': 'T4', 'start': 1, 'end': 10, 'duration': 9, 'demands': [5, 2, 1]}, {'task': 'T5', 'start': 10, 'end': 21, 'duration': 11, 'demands': [3, 2, 4]}, {'task': 'T6', 'start': 16, 'end': 21, 'duration': 5, 'demands': [7, 10, 6]}, {'task': 'T7', 'start': 15, 'end': 16, 'duration': 1, 'demands': [3, 7, 3]}, {'task': 'T8', 'start': 8, 'end': 15, 'duration': 7, 'demands': [4, 5, 5]}, {'task': 'T9', 'start': 0, 'end': 1, 'duration': 1, 'demands': [2, 4, 2]}, {'task': 'T10', 'start': 22, 'end': 25, 'duration': 3, 'demands': [6, 2, 6]}, {'task': 'T11', 'start': 22, 'end': 24, 'duration': 2, 'demands': [3, 6, 3]}, {'task': 'T12', 'start': 21, 'end': 22, 'duration': 1, 'demands': [7, 1, 8]}, {'task': 'T13', 'start': 25, 'end': 29, 'duration': 4, 'demands': [2, 4, 2]}, {'task': 'T14', 'start': 6, 'end': 10, 'duration': 4, 'demands': [1, 5, 3]}, {'task': 'T15', 'start': 35, 'end': 40, 'duration': 5, 'demands': [5, 6, 3]}, {'task': 'T16', 'start': 24, 'end': 26, 'duration': 2, 'demands': [2, 4, 3]}, {'task': 'T17', 'start': 25, 'end': 27, 'duration': 2, 'demands': [7, 2, 2]}, {'task': 'T18', 'start': 27, 'end': 28, 'duration': 1, 'demands': [1, 7, 4]}, {'task': 'T19', 'start': 29, 'end': 35, 'duration': 6, 'demands': [2, 12, 1]}, {'task': 'T20', 'start': 35, 'end': 36, 'duration': 1, 'demands': [0, 0, 0]}]",8,json,names
RCPSP,RCPSP,"Recently the team took on a landscaping overhaul where every step has a set duration, ties up a certain number of tractors and crew while underway, and depends on earlier prep in many cases. The coordinator’s role is to set start times for every step so all dependencies are honored, the number of tractors and crew being used at once never exceeds what’s available, and each step happens once. To compare different plans, just check when the final step ends — the sooner the entire job is done, the better. The detailed list of steps, times, and available tractors/crew appears below.
There are 16 landscaping steps, 3 resource types, and the available resources are .
Step T1 runs for 3 time units, uses resources 3, 7, 2, and has successors T4, T6 that must start after it finishes.
Step T2 runs for 1 time units, uses resources 9, 4, 2, and has successors T5, T7 that must start after it finishes.
Step T3 runs for 1 time units, uses resources 4, 1, 4, and has successors T5, T6 that must start after it finishes.
Step T4 runs for 4 time units, uses resources 7, 1, 3, and has successors T9 that must start after it finishes.
Step T5 runs for 8 time units, uses resources 3, 7, 4, and has successors T8, T9, T4 that must start after it finishes.
Step T6 runs for 9 time units, uses resources 5, 3, 2, and has successors T8 that must start after it finishes.
Step T7 runs for 5 time units, uses resources 2, 8, 3, and has successors T8, T9 that must start after it finishes.
Step T8 runs for 1 time units, uses resources 4, 1, 6, and has successors T10 that must start after it finishes.
Step T9 runs for 4 time units, uses resources 6, 2, 4, and has successors T10, T11 that must start after it finishes.
Step T10 runs for 5 time units, uses resources 2, 5, 7, and has successors T13, T11, T16 that must start after it finishes.
Step T11 runs for 6 time units, uses resources 9, 8, 5, and has successors T12 that must start after it finishes.
Step T12 runs for 2 time units, uses resources 3, 3, 2, and has successors none that must start after it finishes.
Step T13 runs for 11 time units, uses resources 7, 5, 3, and has successors T15, T14, T11 that must start after it finishes.
Step T14 runs for 1 time units, uses resources 5, 3, 1, and has successors T16 that must start after it finishes.
Step T15 runs for 3 time units, uses resources 1, 2, 2, and has successors T16 that must start after it finishes.
Step T16 runs for 7 time units, uses resources 0, 1, 6, and has successors none that must start after it finishes.
The coordinator must assign start times so all 16 steps are scheduled, the 3 resource capacities are never exceeded, and the overall completion time is minimized.
When you hand the schedule back, a simple JSON layout is perfect — nothing fancy, just the fields I showed below so it's easy to parse.
{
""solution"": [
{
""task"": <step_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
Think of this like a short form: ""task"" is the step identifier from the job list, ""start"" is when that step kicks off, and ""end"" is when it finishes. Super casual — just fill in each step's ID and times. This block is only a sketch of the shape I expect, not the actual filled-in answer.
Please use the identifiers exactly as they appear in the instance input — no renaming and no new labels.
Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'nr_tasks': 16, 'nr_resources': 3, 'capacities': [10, 12, 8], 'tasks': [{'duration': 3, 'demands': [3, 7, 2], 'successors': [3, 5]}, {'duration': 1, 'demands': [9, 4, 2], 'successors': [4, 6]}, {'duration': 1, 'demands': [4, 1, 4], 'successors': [4, 5]}, {'duration': 4, 'demands': [7, 1, 3], 'successors': [8]}, {'duration': 8, 'demands': [3, 7, 4], 'successors': [7, 8, 3]}, {'duration': 9, 'demands': [5, 3, 2], 'successors': [7]}, {'duration': 5, 'demands': [2, 8, 3], 'successors': [7, 8]}, {'duration': 1, 'demands': [4, 1, 6], 'successors': [9]}, {'duration': 4, 'demands': [6, 2, 4], 'successors': [9, 10]}, {'duration': 5, 'demands': [2, 5, 7], 'successors': [12, 10, 15]}, {'duration': 6, 'demands': [9, 8, 5], 'successors': [11]}, {'duration': 2, 'demands': [3, 3, 2], 'successors': []}, {'duration': 11, 'demands': [7, 5, 3], 'successors': [14, 13, 10]}, {'duration': 1, 'demands': [5, 3, 1], 'successors': [15]}, {'duration': 3, 'demands': [1, 2, 2], 'successors': [15]}, {'duration': 7, 'demands': [0, 1, 6], 'successors': []}]}","[{'task': 0, 'start': 1, 'end': 4, 'duration': 3, 'demands': [3, 7, 2]}, {'task': 1, 'start': 0, 'end': 1, 'duration': 1, 'demands': [9, 4, 2]}, {'task': 2, 'start': 1, 'end': 2, 'duration': 1, 'demands': [4, 1, 4]}, {'task': 3, 'start': 13, 'end': 17, 'duration': 4, 'demands': [7, 1, 3]}, {'task': 4, 'start': 4, 'end': 12, 'duration': 8, 'demands': [3, 7, 4]}, {'task': 5, 'start': 4, 'end': 13, 'duration': 9, 'demands': [5, 3, 2]}, {'task': 6, 'start': 12, 'end': 17, 'duration': 5, 'demands': [2, 8, 3]}, {'task': 7, 'start': 21, 'end': 22, 'duration': 1, 'demands': [4, 1, 6]}, {'task': 8, 'start': 17, 'end': 21, 'duration': 4, 'demands': [6, 2, 4]}, {'task': 9, 'start': 22, 'end': 27, 'duration': 5, 'demands': [2, 5, 7]}, {'task': 10, 'start': 39, 'end': 45, 'duration': 6, 'demands': [9, 8, 5]}, {'task': 11, 'start': 45, 'end': 47, 'duration': 2, 'demands': [3, 3, 2]}, {'task': 12, 'start': 27, 'end': 38, 'duration': 11, 'demands': [7, 5, 3]}, {'task': 13, 'start': 38, 'end': 39, 'duration': 1, 'demands': [5, 3, 1]}, {'task': 14, 'start': 38, 'end': 41, 'duration': 3, 'demands': [1, 2, 2]}, {'task': 15, 'start': 45, 'end': 52, 'duration': 7, 'demands': [0, 1, 6]}]",52.0,"{'problem_type': 'RCPSP', 'nr_tasks': 16, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16'], 'resources': [1, 2, 3], 'resource_capacities': [{'resource_id': 1, 'capacity': 10}, {'resource_id': 2, 'capacity': 12}, {'resource_id': 3, 'capacity': 8}], 'task_records': [{'task_id': 'T1', 'duration': 3, 'demands': [3, 7, 2], 'successors': ['T4', 'T6']}, {'task_id': 'T2', 'duration': 1, 'demands': [9, 4, 2], 'successors': ['T5', 'T7']}, {'task_id': 'T3', 'duration': 1, 'demands': [4, 1, 4], 'successors': ['T5', 'T6']}, {'task_id': 'T4', 'duration': 4, 'demands': [7, 1, 3], 'successors': ['T9']}, {'task_id': 'T5', 'duration': 8, 'demands': [3, 7, 4], 'successors': ['T8', 'T9', 'T4']}, {'task_id': 'T6', 'duration': 9, 'demands': [5, 3, 2], 'successors': ['T8']}, {'task_id': 'T7', 'duration': 5, 'demands': [2, 8, 3], 'successors': ['T8', 'T9']}, {'task_id': 'T8', 'duration': 1, 'demands': [4, 1, 6], 'successors': ['T10']}, {'task_id': 'T9', 'duration': 4, 'demands': [6, 2, 4], 'successors': ['T10', 'T11']}, {'task_id': 'T10', 'duration': 5, 'demands': [2, 5, 7], 'successors': ['T13', 'T11', 'T16']}, {'task_id': 'T11', 'duration': 6, 'demands': [9, 8, 5], 'successors': ['T12']}, {'task_id': 'T12', 'duration': 2, 'demands': [3, 3, 2], 'successors': []}, {'task_id': 'T13', 'duration': 11, 'demands': [7, 5, 3], 'successors': ['T15', 'T14', 'T11']}, {'task_id': 'T14', 'duration': 1, 'demands': [5, 3, 1], 'successors': ['T16']}, {'task_id': 'T15', 'duration': 3, 'demands': [1, 2, 2], 'successors': ['T16']}, {'task_id': 'T16', 'duration': 7, 'demands': [0, 1, 6], 'successors': []}]}","[{'task': 'T1', 'start': 1, 'end': 4, 'duration': 3, 'demands': [3, 7, 2]}, {'task': 'T2', 'start': 0, 'end': 1, 'duration': 1, 'demands': [9, 4, 2]}, {'task': 'T3', 'start': 1, 'end': 2, 'duration': 1, 'demands': [4, 1, 4]}, {'task': 'T4', 'start': 13, 'end': 17, 'duration': 4, 'demands': [7, 1, 3]}, {'task': 'T5', 'start': 4, 'end': 12, 'duration': 8, 'demands': [3, 7, 4]}, {'task': 'T6', 'start': 4, 'end': 13, 'duration': 9, 'demands': [5, 3, 2]}, {'task': 'T7', 'start': 12, 'end': 17, 'duration': 5, 'demands': [2, 8, 3]}, {'task': 'T8', 'start': 21, 'end': 22, 'duration': 1, 'demands': [4, 1, 6]}, {'task': 'T9', 'start': 17, 'end': 21, 'duration': 4, 'demands': [6, 2, 4]}, {'task': 'T10', 'start': 22, 'end': 27, 'duration': 5, 'demands': [2, 5, 7]}, {'task': 'T11', 'start': 39, 'end': 45, 'duration': 6, 'demands': [9, 8, 5]}, {'task': 'T12', 'start': 45, 'end': 47, 'duration': 2, 'demands': [3, 3, 2]}, {'task': 'T13', 'start': 27, 'end': 38, 'duration': 11, 'demands': [7, 5, 3]}, {'task': 'T14', 'start': 38, 'end': 39, 'duration': 1, 'demands': [5, 3, 1]}, {'task': 'T15', 'start': 38, 'end': 41, 'duration': 3, 'demands': [1, 2, 2]}, {'task': 'T16', 'start': 45, 'end': 52, 'duration': 7, 'demands': [0, 1, 6]}]",9,nl,1
RCPSP,RCPSP,"Someone managing the shop needs to line up every assembly step like dominos. Each step lasts a set period, uses a given number of tools and a patch of bench while active, and some steps can only start after others finish. The plan must assign a start time to every step (no skipping, no double-running), keep simultaneous tool and bench usage within what’s available, and aim to get the final piece finished as soon as possible — measured by the finishing time of the last step, with smaller times better. The specific tasks, durations, and available tools/benches appear below.
# total_assembly_steps=16
# resource_types_count=3
# resources=A, B, C
resource_id,capacity
A,13
B,12
C,14
step_id,step_duration,step_resource_usage,following_steps
T1,9,""3, 9, 3"",""T4, T5, T6""
T2,1,""8, 5, 3"",""T5, T7""
T3,7,""5, 2, 3"",""T6, T7""
T4,2,""3, 1, 2"",""T8, T10""
T5,3,""10, 5, 4"",""T9, T10""
T6,4,""5, 9, 3"",""T8, T9, T4""
T7,3,""1, 8, 3"",""T8, T11""
T8,3,""2, 1, 3"",""none""
T9,2,""5, 1, 5"",""T12, T13""
T10,6,""6, 5, 4"",""T12, T15""
T11,9,""8, 1, 5"",""T12""
T12,18,""2, 6, 8"",""T14""
T13,6,""2, 3, 7"",""T15, T11""
T14,4,""4, 4, 5"",""T16""
T15,7,""9, 3, 6"",""T16""
T16,2,""2, 7, 8"",""none""
Also, when you send the scheduled plan back, a simple JSON sketch like this is the format I expect — just showing the shape of the answer so it's easy to parse:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
Think of that as a little form: each object in ""solution"" is one assembly step, ""task"" picks which step, and ""start"" and ""end"" say when it begins and finishes. This is just the shape I want you to follow — not the actual schedule itself.
Also, please use the exact task identifiers from the instance input — don't rename tasks or invent new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'nr_tasks': 16, 'nr_resources': 3, 'capacities': [13, 12, 14], 'tasks': [{'duration': 9, 'demands': [3, 9, 3], 'successors': [3, 4, 5]}, {'duration': 1, 'demands': [8, 5, 3], 'successors': [4, 6]}, {'duration': 7, 'demands': [5, 2, 3], 'successors': [5, 6]}, {'duration': 2, 'demands': [3, 1, 2], 'successors': [7, 9]}, {'duration': 3, 'demands': [10, 5, 4], 'successors': [8, 9]}, {'duration': 4, 'demands': [5, 9, 3], 'successors': [7, 8, 3]}, {'duration': 3, 'demands': [1, 8, 3], 'successors': [7, 10]}, {'duration': 3, 'demands': [2, 1, 3], 'successors': []}, {'duration': 2, 'demands': [5, 1, 5], 'successors': [11, 12]}, {'duration': 6, 'demands': [6, 5, 4], 'successors': [11, 14]}, {'duration': 9, 'demands': [8, 1, 5], 'successors': [11]}, {'duration': 18, 'demands': [2, 6, 8], 'successors': [13]}, {'duration': 6, 'demands': [2, 3, 7], 'successors': [14, 10]}, {'duration': 4, 'demands': [4, 4, 5], 'successors': [15]}, {'duration': 7, 'demands': [9, 3, 6], 'successors': [15]}, {'duration': 2, 'demands': [2, 7, 8], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 9, 'duration': 9, 'demands': [3, 9, 3]}, {'task': 1, 'start': 9, 'end': 10, 'duration': 1, 'demands': [8, 5, 3]}, {'task': 2, 'start': 0, 'end': 7, 'duration': 7, 'demands': [5, 2, 3]}, {'task': 3, 'start': 14, 'end': 16, 'duration': 2, 'demands': [3, 1, 2]}, {'task': 4, 'start': 14, 'end': 17, 'duration': 3, 'demands': [10, 5, 4]}, {'task': 5, 'start': 10, 'end': 14, 'duration': 4, 'demands': [5, 9, 3]}, {'task': 6, 'start': 17, 'end': 20, 'duration': 3, 'demands': [1, 8, 3]}, {'task': 7, 'start': 20, 'end': 23, 'duration': 3, 'demands': [2, 1, 3]}, {'task': 8, 'start': 17, 'end': 19, 'duration': 2, 'demands': [5, 1, 5]}, {'task': 9, 'start': 20, 'end': 26, 'duration': 6, 'demands': [6, 5, 4]}, {'task': 10, 'start': 26, 'end': 35, 'duration': 9, 'demands': [8, 1, 5]}, {'task': 11, 'start': 35, 'end': 53, 'duration': 18, 'demands': [2, 6, 8]}, {'task': 12, 'start': 19, 'end': 25, 'duration': 6, 'demands': [2, 3, 7]}, {'task': 13, 'start': 53, 'end': 57, 'duration': 4, 'demands': [4, 4, 5]}, {'task': 14, 'start': 35, 'end': 42, 'duration': 7, 'demands': [9, 3, 6]}, {'task': 15, 'start': 57, 'end': 59, 'duration': 2, 'demands': [2, 7, 8]}]",59.0,"{'problem_type': 'RCPSP', 'nr_tasks': 16, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16'], 'resources': ['A', 'B', 'C'], 'resource_capacities': [{'resource_id': 'A', 'capacity': 13}, {'resource_id': 'B', 'capacity': 12}, {'resource_id': 'C', 'capacity': 14}], 'task_records': [{'task_id': 'T1', 'duration': 9, 'demands': [3, 9, 3], 'successors': ['T4', 'T5', 'T6']}, {'task_id': 'T2', 'duration': 1, 'demands': [8, 5, 3], 'successors': ['T5', 'T7']}, {'task_id': 'T3', 'duration': 7, 'demands': [5, 2, 3], 'successors': ['T6', 'T7']}, {'task_id': 'T4', 'duration': 2, 'demands': [3, 1, 2], 'successors': ['T8', 'T10']}, {'task_id': 'T5', 'duration': 3, 'demands': [10, 5, 4], 'successors': ['T9', 'T10']}, {'task_id': 'T6', 'duration': 4, 'demands': [5, 9, 3], 'successors': ['T8', 'T9', 'T4']}, {'task_id': 'T7', 'duration': 3, 'demands': [1, 8, 3], 'successors': ['T8', 'T11']}, {'task_id': 'T8', 'duration': 3, 'demands': [2, 1, 3], 'successors': []}, {'task_id': 'T9', 'duration': 2, 'demands': [5, 1, 5], 'successors': ['T12', 'T13']}, {'task_id': 'T10', 'duration': 6, 'demands': [6, 5, 4], 'successors': ['T12', 'T15']}, {'task_id': 'T11', 'duration': 9, 'demands': [8, 1, 5], 'successors': ['T12']}, {'task_id': 'T12', 'duration': 18, 'demands': [2, 6, 8], 'successors': ['T14']}, {'task_id': 'T13', 'duration': 6, 'demands': [2, 3, 7], 'successors': ['T15', 'T11']}, {'task_id': 'T14', 'duration': 4, 'demands': [4, 4, 5], 'successors': ['T16']}, {'task_id': 'T15', 'duration': 7, 'demands': [9, 3, 6], 'successors': ['T16']}, {'task_id': 'T16', 'duration': 2, 'demands': [2, 7, 8], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 9, 'duration': 9, 'demands': [3, 9, 3]}, {'task': 'T2', 'start': 9, 'end': 10, 'duration': 1, 'demands': [8, 5, 3]}, {'task': 'T3', 'start': 0, 'end': 7, 'duration': 7, 'demands': [5, 2, 3]}, {'task': 'T4', 'start': 14, 'end': 16, 'duration': 2, 'demands': [3, 1, 2]}, {'task': 'T5', 'start': 14, 'end': 17, 'duration': 3, 'demands': [10, 5, 4]}, {'task': 'T6', 'start': 10, 'end': 14, 'duration': 4, 'demands': [5, 9, 3]}, {'task': 'T7', 'start': 17, 'end': 20, 'duration': 3, 'demands': [1, 8, 3]}, {'task': 'T8', 'start': 20, 'end': 23, 'duration': 3, 'demands': [2, 1, 3]}, {'task': 'T9', 'start': 17, 'end': 19, 'duration': 2, 'demands': [5, 1, 5]}, {'task': 'T10', 'start': 20, 'end': 26, 'duration': 6, 'demands': [6, 5, 4]}, {'task': 'T11', 'start': 26, 'end': 35, 'duration': 9, 'demands': [8, 1, 5]}, {'task': 'T12', 'start': 35, 'end': 53, 'duration': 18, 'demands': [2, 6, 8]}, {'task': 'T13', 'start': 19, 'end': 25, 'duration': 6, 'demands': [2, 3, 7]}, {'task': 'T14', 'start': 53, 'end': 57, 'duration': 4, 'demands': [4, 4, 5]}, {'task': 'T15', 'start': 35, 'end': 42, 'duration': 7, 'demands': [9, 3, 6]}, {'task': 'T16', 'start': 57, 'end': 59, 'duration': 2, 'demands': [2, 7, 8]}]",10,csv,names
RCPSP,RCPSP,"Back when the new term calendar landed on my desk, it became clear: every classroom setup and lesson has a fixed length, uses up rooms and teachers while active, and some can’t begin until others have wrapped. The job is to pick a start time for every single item so we never have more concurrent classes than rooms or teachers available, and nothing is skipped or scheduled twice. The goal is to get everything done as soon as possible — in other words, make the time the final session ends as small as it can be. The concrete session and resource details will be shown below.
So, here’s what I’m looking at: 17 sessions, 3 resource types, capacities .
Session T1: I note it lasts 1 units, ties up 0, 0, 0 while active, and must finish before T2, T3, T4 may start.
Session T2: I note it lasts 6 units, ties up 6, 4, 4 while active, and must finish before T5, T6, T3 may start.
Session T3: I note it lasts 3 units, ties up 4, 4, 4 while active, and must finish before T5, T6, T9 may start.
Session T4: I note it lasts 1 units, ties up 5, 1, 1 while active, and must finish before T7, T8 may start.
Session T5: I note it lasts 4 units, ties up 3, 1, 7 while active, and must finish before T11, T12 may start.
Session T6: I note it lasts 7 units, ties up 9, 9, 7 while active, and must finish before T9, T10 may start.
Session T7: I note it lasts 6 units, ties up 4, 8, 4 while active, and must finish before T9, T12 may start.
Session T8: I note it lasts 7 units, ties up 1, 5, 5 while active, and must finish before T10, T11 may start.
Session T9: I note it lasts 2 units, ties up 2, 2, 3 while active, and must finish before T13 may start.
Session T10: I note it lasts 15 units, ties up 4, 2, 2 while active, and must finish before T13 may start.
Session T11: I note it lasts 1 units, ties up 4, 4, 2 while active, and must finish before T7 may start.
Session T12: I note it lasts 1 units, ties up 3, 1, 3 while active, and must finish before T13, T9 may start.
Session T13: I note it lasts 1 units, ties up 1, 5, 5 while active, and must finish before T14, T15 may start.
Session T14: I note it lasts 4 units, ties up 7, 9, 5 while active, and must finish before T16 may start.
Session T15: I note it lasts 11 units, ties up 9, 3, 2 while active, and must finish before T16 may start.
Session T16: I note it lasts 2 units, ties up 3, 3, 10 while active, and must finish before T17 may start.
Session T17: I note it lasts 1 units, ties up 0, 0, 0 while active, and must finish before none may start.
I’ll need every session scheduled so the last one finishes as early as I can make it.
Oh, and when you send the scheduled plan back, keep it in a tiny JSON layout so it's easy to check automatically — nothing fancy, just this shape:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
This shows the shape I expect: ""solution"" is a list of scheduled items, and each item has a task identifier plus the start and end times for that session. Treat it like a simple form — each row says which session it is and when it begins and finishes. The block above is just a sketch of the expected shape, not the actual answer — replace those placeholders with the real IDs and times from the instance.
Please use the exact identifiers from the input — do not rename them or invent new labels.
Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'nr_tasks': 17, 'nr_resources': 3, 'capacities': [9, 13, 15], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2, 3]}, {'duration': 6, 'demands': [6, 4, 4], 'successors': [4, 5, 2]}, {'duration': 3, 'demands': [4, 4, 4], 'successors': [4, 5, 8]}, {'duration': 1, 'demands': [5, 1, 1], 'successors': [6, 7]}, {'duration': 4, 'demands': [3, 1, 7], 'successors': [10, 11]}, {'duration': 7, 'demands': [9, 9, 7], 'successors': [8, 9]}, {'duration': 6, 'demands': [4, 8, 4], 'successors': [8, 11]}, {'duration': 7, 'demands': [1, 5, 5], 'successors': [9, 10]}, {'duration': 2, 'demands': [2, 2, 3], 'successors': [12]}, {'duration': 15, 'demands': [4, 2, 2], 'successors': [12]}, {'duration': 1, 'demands': [4, 4, 2], 'successors': [6]}, {'duration': 1, 'demands': [3, 1, 3], 'successors': [12, 8]}, {'duration': 1, 'demands': [1, 5, 5], 'successors': [13, 14]}, {'duration': 4, 'demands': [7, 9, 5], 'successors': [15]}, {'duration': 11, 'demands': [9, 3, 2], 'successors': [15]}, {'duration': 2, 'demands': [3, 3, 10], 'successors': [16]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 2, 'end': 8, 'duration': 6, 'demands': [6, 4, 4]}, {'task': 2, 'start': 8, 'end': 11, 'duration': 3, 'demands': [4, 4, 4]}, {'task': 3, 'start': 1, 'end': 2, 'duration': 1, 'demands': [5, 1, 1]}, {'task': 4, 'start': 18, 'end': 22, 'duration': 4, 'demands': [3, 1, 7]}, {'task': 5, 'start': 11, 'end': 18, 'duration': 7, 'demands': [9, 9, 7]}, {'task': 6, 'start': 23, 'end': 29, 'duration': 6, 'demands': [4, 8, 4]}, {'task': 7, 'start': 2, 'end': 9, 'duration': 7, 'demands': [1, 5, 5]}, {'task': 8, 'start': 30, 'end': 32, 'duration': 2, 'demands': [2, 2, 3]}, {'task': 9, 'start': 18, 'end': 33, 'duration': 15, 'demands': [4, 2, 2]}, {'task': 10, 'start': 22, 'end': 23, 'duration': 1, 'demands': [4, 4, 2]}, {'task': 11, 'start': 29, 'end': 30, 'duration': 1, 'demands': [3, 1, 3]}, {'task': 12, 'start': 33, 'end': 34, 'duration': 1, 'demands': [1, 5, 5]}, {'task': 13, 'start': 45, 'end': 49, 'duration': 4, 'demands': [7, 9, 5]}, {'task': 14, 'start': 34, 'end': 45, 'duration': 11, 'demands': [9, 3, 2]}, {'task': 15, 'start': 49, 'end': 51, 'duration': 2, 'demands': [3, 3, 10]}, {'task': 16, 'start': 51, 'end': 52, 'duration': 1, 'demands': [0, 0, 0]}]",52.0,"{'problem_type': 'RCPSP', 'nr_tasks': 17, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17'], 'resources': [1, 2, 3], 'resource_capacities': [{'resource_id': 1, 'capacity': 9}, {'resource_id': 2, 'capacity': 13}, {'resource_id': 3, 'capacity': 15}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3', 'T4']}, {'task_id': 'T2', 'duration': 6, 'demands': [6, 4, 4], 'successors': ['T5', 'T6', 'T3']}, {'task_id': 'T3', 'duration': 3, 'demands': [4, 4, 4], 'successors': ['T5', 'T6', 'T9']}, {'task_id': 'T4', 'duration': 1, 'demands': [5, 1, 1], 'successors': ['T7', 'T8']}, {'task_id': 'T5', 'duration': 4, 'demands': [3, 1, 7], 'successors': ['T11', 'T12']}, {'task_id': 'T6', 'duration': 7, 'demands': [9, 9, 7], 'successors': ['T9', 'T10']}, {'task_id': 'T7', 'duration': 6, 'demands': [4, 8, 4], 'successors': ['T9', 'T12']}, {'task_id': 'T8', 'duration': 7, 'demands': [1, 5, 5], 'successors': ['T10', 'T11']}, {'task_id': 'T9', 'duration': 2, 'demands': [2, 2, 3], 'successors': ['T13']}, {'task_id': 'T10', 'duration': 15, 'demands': [4, 2, 2], 'successors': ['T13']}, {'task_id': 'T11', 'duration': 1, 'demands': [4, 4, 2], 'successors': ['T7']}, {'task_id': 'T12', 'duration': 1, 'demands': [3, 1, 3], 'successors': ['T13', 'T9']}, {'task_id': 'T13', 'duration': 1, 'demands': [1, 5, 5], 'successors': ['T14', 'T15']}, {'task_id': 'T14', 'duration': 4, 'demands': [7, 9, 5], 'successors': ['T16']}, {'task_id': 'T15', 'duration': 11, 'demands': [9, 3, 2], 'successors': ['T16']}, {'task_id': 'T16', 'duration': 2, 'demands': [3, 3, 10], 'successors': ['T17']}, {'task_id': 'T17', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 2, 'end': 8, 'duration': 6, 'demands': [6, 4, 4]}, {'task': 'T3', 'start': 8, 'end': 11, 'duration': 3, 'demands': [4, 4, 4]}, {'task': 'T4', 'start': 1, 'end': 2, 'duration': 1, 'demands': [5, 1, 1]}, {'task': 'T5', 'start': 18, 'end': 22, 'duration': 4, 'demands': [3, 1, 7]}, {'task': 'T6', 'start': 11, 'end': 18, 'duration': 7, 'demands': [9, 9, 7]}, {'task': 'T7', 'start': 23, 'end': 29, 'duration': 6, 'demands': [4, 8, 4]}, {'task': 'T8', 'start': 2, 'end': 9, 'duration': 7, 'demands': [1, 5, 5]}, {'task': 'T9', 'start': 30, 'end': 32, 'duration': 2, 'demands': [2, 2, 3]}, {'task': 'T10', 'start': 18, 'end': 33, 'duration': 15, 'demands': [4, 2, 2]}, {'task': 'T11', 'start': 22, 'end': 23, 'duration': 1, 'demands': [4, 4, 2]}, {'task': 'T12', 'start': 29, 'end': 30, 'duration': 1, 'demands': [3, 1, 3]}, {'task': 'T13', 'start': 33, 'end': 34, 'duration': 1, 'demands': [1, 5, 5]}, {'task': 'T14', 'start': 45, 'end': 49, 'duration': 4, 'demands': [7, 9, 5]}, {'task': 'T15', 'start': 34, 'end': 45, 'duration': 11, 'demands': [9, 3, 2]}, {'task': 'T16', 'start': 49, 'end': 51, 'duration': 2, 'demands': [3, 3, 10]}, {'task': 'T17', 'start': 51, 'end': 52, 'duration': 1, 'demands': [0, 0, 0]}]",11,nl,1
RCPSP,RCPSP,"Recently the photographer picked up a complicated job: several fixed-length shoot segments, limited lighting rigs and crew, and a bunch of “must-finish-before” relationships between segments. The job now is to decide when each segment starts so no two simultaneous segments together demand more gear or staff than exist, and so each segment is done exactly once in its required order. Better schedules are the ones that get the last segment done earlier — the finish of the shoot is simply the end time of that last segment, and the aim is to push that end time as early as possible. The detailed list of segments, their durations and the resource availability is listed below.
# total_segments=20
# resource_types_count=1
# resources=A
resource_id,capacity
A,12
segment_id,segment_duration,segment_resource_requirements,successor_segments
T1,1,""0"",""T3, T4, T5, T6""
T2,3,""6"",""T17""
T3,3,""1"",""T7, T8""
T4,7,""1"",""T9, T14""
T5,8,""9"",""T10, T12""
T6,8,""1"",""T11""
T7,3,""4"",""T17""
T8,1,""0"",""T9, T14""
T9,3,""2"",""none""
T10,2,""3"",""T18""
T11,13,""5"",""T18""
T12,1,""2"",""T15, T16""
T13,10,""4"",""T15, T16""
T14,1,""3"",""T17""
T15,1,""0"",""T17""
T16,10,""4"",""T18""
T17,6,""1"",""T18""
T18,1,""0"",""none""
T19,8,""0"",""none""
T20,2,""1"",""none""
When you’re ready to give me the schedule, a simple JSON layout like this works best — it's just a small list of entries, each saying which segment (task) starts when and ends when.
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
Think of that as a little form: ""solution"" holds a list of scheduled segments, each item gives the segment's id under ""task"" and the time it starts and the time it finishes under ""start"" and ""end"". Keep it light — just one object per segment, and the end time should match when that segment is done.
This JSON is only a sketch of the shape I expect, not the actual filled-in schedule.
Also, please use the exact identifiers from the instance input — don’t rename them or invent new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'nr_tasks': 20, 'nr_resources': 1, 'capacities': [12], 'tasks': [{'duration': 1, 'demands': [0], 'successors': [2, 3, 4, 5]}, {'duration': 3, 'demands': [6], 'successors': [16]}, {'duration': 3, 'demands': [1], 'successors': [6, 7]}, {'duration': 7, 'demands': [1], 'successors': [8, 13]}, {'duration': 8, 'demands': [9], 'successors': [9, 11]}, {'duration': 8, 'demands': [1], 'successors': [10]}, {'duration': 3, 'demands': [4], 'successors': [16]}, {'duration': 1, 'demands': [0], 'successors': [8, 13]}, {'duration': 3, 'demands': [2], 'successors': []}, {'duration': 2, 'demands': [3], 'successors': [17]}, {'duration': 13, 'demands': [5], 'successors': [17]}, {'duration': 1, 'demands': [2], 'successors': [14, 15]}, {'duration': 10, 'demands': [4], 'successors': [14, 15]}, {'duration': 1, 'demands': [3], 'successors': [16]}, {'duration': 1, 'demands': [0], 'successors': [16]}, {'duration': 10, 'demands': [4], 'successors': [17]}, {'duration': 6, 'demands': [1], 'successors': [17]}, {'duration': 1, 'demands': [0], 'successors': []}, {'duration': 8, 'demands': [0], 'successors': []}, {'duration': 2, 'demands': [1], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0]}, {'task': 1, 'start': 9, 'end': 12, 'duration': 3, 'demands': [6]}, {'task': 2, 'start': 1, 'end': 4, 'duration': 3, 'demands': [1]}, {'task': 3, 'start': 2, 'end': 9, 'duration': 7, 'demands': [1]}, {'task': 4, 'start': 1, 'end': 9, 'duration': 8, 'demands': [9]}, {'task': 5, 'start': 1, 'end': 9, 'duration': 8, 'demands': [1]}, {'task': 6, 'start': 12, 'end': 15, 'duration': 3, 'demands': [4]}, {'task': 7, 'start': 7, 'end': 8, 'duration': 1, 'demands': [0]}, {'task': 8, 'start': 10, 'end': 13, 'duration': 3, 'demands': [2]}, {'task': 9, 'start': 14, 'end': 16, 'duration': 2, 'demands': [3]}, {'task': 10, 'start': 15, 'end': 28, 'duration': 13, 'demands': [5]}, {'task': 11, 'start': 9, 'end': 10, 'duration': 1, 'demands': [2]}, {'task': 12, 'start': 9, 'end': 19, 'duration': 10, 'demands': [4]}, {'task': 13, 'start': 13, 'end': 14, 'duration': 1, 'demands': [3]}, {'task': 14, 'start': 19, 'end': 20, 'duration': 1, 'demands': [0]}, {'task': 15, 'start': 19, 'end': 29, 'duration': 10, 'demands': [4]}, {'task': 16, 'start': 20, 'end': 26, 'duration': 6, 'demands': [1]}, {'task': 17, 'start': 29, 'end': 30, 'duration': 1, 'demands': [0]}, {'task': 18, 'start': 0, 'end': 8, 'duration': 8, 'demands': [0]}, {'task': 19, 'start': 0, 'end': 2, 'duration': 2, 'demands': [1]}]",30.0,"{'problem_type': 'RCPSP', 'nr_tasks': 20, 'nr_resources': 1, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18', 'T19', 'T20'], 'resources': ['A'], 'resource_capacities': [{'resource_id': 'A', 'capacity': 12}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0], 'successors': ['T3', 'T4', 'T5', 'T6']}, {'task_id': 'T2', 'duration': 3, 'demands': [6], 'successors': ['T17']}, {'task_id': 'T3', 'duration': 3, 'demands': [1], 'successors': ['T7', 'T8']}, {'task_id': 'T4', 'duration': 7, 'demands': [1], 'successors': ['T9', 'T14']}, {'task_id': 'T5', 'duration': 8, 'demands': [9], 'successors': ['T10', 'T12']}, {'task_id': 'T6', 'duration': 8, 'demands': [1], 'successors': ['T11']}, {'task_id': 'T7', 'duration': 3, 'demands': [4], 'successors': ['T17']}, {'task_id': 'T8', 'duration': 1, 'demands': [0], 'successors': ['T9', 'T14']}, {'task_id': 'T9', 'duration': 3, 'demands': [2], 'successors': []}, {'task_id': 'T10', 'duration': 2, 'demands': [3], 'successors': ['T18']}, {'task_id': 'T11', 'duration': 13, 'demands': [5], 'successors': ['T18']}, {'task_id': 'T12', 'duration': 1, 'demands': [2], 'successors': ['T15', 'T16']}, {'task_id': 'T13', 'duration': 10, 'demands': [4], 'successors': ['T15', 'T16']}, {'task_id': 'T14', 'duration': 1, 'demands': [3], 'successors': ['T17']}, {'task_id': 'T15', 'duration': 1, 'demands': [0], 'successors': ['T17']}, {'task_id': 'T16', 'duration': 10, 'demands': [4], 'successors': ['T18']}, {'task_id': 'T17', 'duration': 6, 'demands': [1], 'successors': ['T18']}, {'task_id': 'T18', 'duration': 1, 'demands': [0], 'successors': []}, {'task_id': 'T19', 'duration': 8, 'demands': [0], 'successors': []}, {'task_id': 'T20', 'duration': 2, 'demands': [1], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0]}, {'task': 'T2', 'start': 9, 'end': 12, 'duration': 3, 'demands': [6]}, {'task': 'T3', 'start': 1, 'end': 4, 'duration': 3, 'demands': [1]}, {'task': 'T4', 'start': 2, 'end': 9, 'duration': 7, 'demands': [1]}, {'task': 'T5', 'start': 1, 'end': 9, 'duration': 8, 'demands': [9]}, {'task': 'T6', 'start': 1, 'end': 9, 'duration': 8, 'demands': [1]}, {'task': 'T7', 'start': 12, 'end': 15, 'duration': 3, 'demands': [4]}, {'task': 'T8', 'start': 7, 'end': 8, 'duration': 1, 'demands': [0]}, {'task': 'T9', 'start': 10, 'end': 13, 'duration': 3, 'demands': [2]}, {'task': 'T10', 'start': 14, 'end': 16, 'duration': 2, 'demands': [3]}, {'task': 'T11', 'start': 15, 'end': 28, 'duration': 13, 'demands': [5]}, {'task': 'T12', 'start': 9, 'end': 10, 'duration': 1, 'demands': [2]}, {'task': 'T13', 'start': 9, 'end': 19, 'duration': 10, 'demands': [4]}, {'task': 'T14', 'start': 13, 'end': 14, 'duration': 1, 'demands': [3]}, {'task': 'T15', 'start': 19, 'end': 20, 'duration': 1, 'demands': [0]}, {'task': 'T16', 'start': 19, 'end': 29, 'duration': 10, 'demands': [4]}, {'task': 'T17', 'start': 20, 'end': 26, 'duration': 6, 'demands': [1]}, {'task': 'T18', 'start': 29, 'end': 30, 'duration': 1, 'demands': [0]}, {'task': 'T19', 'start': 0, 'end': 8, 'duration': 8, 'demands': [0]}, {'task': 'T20', 'start': 0, 'end': 2, 'duration': 2, 'demands': [1]}]",12,csv,names
RCPSP,RCPSP,"Someone on the production team mapped out all the songs: each has a known recording length, needs specific studio resources while it’s happening, and some songs depend on others being completed first. The task becomes assigning a start time to each of those sessions so there are never more overlapping sessions than studios or engineers allow, and every required session happens once and only once. What makes one schedule better than another is simple — it finishes the album earlier; the album’s completion time is the time the final session wraps up, and that finish time is what to watch. The concrete numbers and constraints are shown below.
# total_sessions=20
# resource_types_count=3
# resources=1, 2, 3
resource_id,capacity
1,10
2,12
3,13
session_id,session_duration,session_resource_needs,must_follow_sessions
T1,1,""0, 0, 0"",""T3""
T2,2,""3, 8, 4"",""T6, T7, T8""
T3,4,""4, 3, 4"",""T5, T6""
T4,8,""6, 1, 2"",""T5, T6""
T5,3,""4, 1, 3"",""T9, T11""
T6,7,""10, 10, 6"",""T9, T11""
T7,2,""5, 5, 1"",""T9""
T8,10,""2, 7, 7"",""T10""
T9,1,""6, 1, 2"",""T12""
T10,2,""2, 2, 3"",""T14""
T11,4,""4, 4, 3"",""T12, T13""
T12,4,""2, 5, 8"",""T16""
T13,7,""7, 6, 5"",""T15""
T14,11,""2, 8, 6"",""T16""
T15,1,""4, 8, 7"",""T18, T19""
T16,4,""2, 1, 3"",""none""
T17,1,""5, 3, 3"",""T18""
T18,3,""3, 7, 4"",""T20""
T19,5,""1, 11, 2"",""T20""
T20,1,""0, 0, 0"",""none""
Also, when you send the actual schedule back, please use this JSON layout so it's easy to read and check:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
Think of this like a simple form: ""solution"" is the list of all recording sessions, and each item says which session it is (""task"") and when it starts and finishes (""start"" and ""end""). Keep it casual — task is the song/session identifier, start and end are the times (same units as the instance) when that session begins and ends.
This JSON is just a sketch of the shape I expect, not the final scheduled times.
Please make sure you use the exact identifiers from the instance input — do not rename them or invent new ones.
For example: Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'nr_tasks': 20, 'nr_resources': 3, 'capacities': [10, 12, 13], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [2]}, {'duration': 2, 'demands': [3, 8, 4], 'successors': [5, 6, 7]}, {'duration': 4, 'demands': [4, 3, 4], 'successors': [4, 5]}, {'duration': 8, 'demands': [6, 1, 2], 'successors': [4, 5]}, {'duration': 3, 'demands': [4, 1, 3], 'successors': [8, 10]}, {'duration': 7, 'demands': [10, 10, 6], 'successors': [8, 10]}, {'duration': 2, 'demands': [5, 5, 1], 'successors': [8]}, {'duration': 10, 'demands': [2, 7, 7], 'successors': [9]}, {'duration': 1, 'demands': [6, 1, 2], 'successors': [11]}, {'duration': 2, 'demands': [2, 2, 3], 'successors': [13]}, {'duration': 4, 'demands': [4, 4, 3], 'successors': [11, 12]}, {'duration': 4, 'demands': [2, 5, 8], 'successors': [15]}, {'duration': 7, 'demands': [7, 6, 5], 'successors': [14]}, {'duration': 11, 'demands': [2, 8, 6], 'successors': [15]}, {'duration': 1, 'demands': [4, 8, 7], 'successors': [17, 18]}, {'duration': 4, 'demands': [2, 1, 3], 'successors': []}, {'duration': 1, 'demands': [5, 3, 3], 'successors': [17]}, {'duration': 3, 'demands': [3, 7, 4], 'successors': [19]}, {'duration': 5, 'demands': [1, 11, 2], 'successors': [19]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 0, 'end': 2, 'duration': 2, 'demands': [3, 8, 4]}, {'task': 2, 'start': 8, 'end': 12, 'duration': 4, 'demands': [4, 3, 4]}, {'task': 3, 'start': 0, 'end': 8, 'duration': 8, 'demands': [6, 1, 2]}, {'task': 4, 'start': 21, 'end': 24, 'duration': 3, 'demands': [4, 1, 3]}, {'task': 5, 'start': 12, 'end': 19, 'duration': 7, 'demands': [10, 10, 6]}, {'task': 6, 'start': 19, 'end': 21, 'duration': 2, 'demands': [5, 5, 1]}, {'task': 7, 'start': 2, 'end': 12, 'duration': 10, 'demands': [2, 7, 7]}, {'task': 8, 'start': 28, 'end': 29, 'duration': 1, 'demands': [6, 1, 2]}, {'task': 9, 'start': 19, 'end': 21, 'duration': 2, 'demands': [2, 2, 3]}, {'task': 10, 'start': 24, 'end': 28, 'duration': 4, 'demands': [4, 4, 3]}, {'task': 11, 'start': 32, 'end': 36, 'duration': 4, 'demands': [2, 5, 8]}, {'task': 12, 'start': 32, 'end': 39, 'duration': 7, 'demands': [7, 6, 5]}, {'task': 13, 'start': 21, 'end': 32, 'duration': 11, 'demands': [2, 8, 6]}, {'task': 14, 'start': 39, 'end': 40, 'duration': 1, 'demands': [4, 8, 7]}, {'task': 15, 'start': 36, 'end': 40, 'duration': 4, 'demands': [2, 1, 3]}, {'task': 16, 'start': 29, 'end': 30, 'duration': 1, 'demands': [5, 3, 3]}, {'task': 17, 'start': 45, 'end': 48, 'duration': 3, 'demands': [3, 7, 4]}, {'task': 18, 'start': 40, 'end': 45, 'duration': 5, 'demands': [1, 11, 2]}, {'task': 19, 'start': 48, 'end': 49, 'duration': 1, 'demands': [0, 0, 0]}]",49.0,"{'problem_type': 'RCPSP', 'nr_tasks': 20, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18', 'T19', 'T20'], 'resources': [1, 2, 3], 'resource_capacities': [{'resource_id': 1, 'capacity': 10}, {'resource_id': 2, 'capacity': 12}, {'resource_id': 3, 'capacity': 13}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T3']}, {'task_id': 'T2', 'duration': 2, 'demands': [3, 8, 4], 'successors': ['T6', 'T7', 'T8']}, {'task_id': 'T3', 'duration': 4, 'demands': [4, 3, 4], 'successors': ['T5', 'T6']}, {'task_id': 'T4', 'duration': 8, 'demands': [6, 1, 2], 'successors': ['T5', 'T6']}, {'task_id': 'T5', 'duration': 3, 'demands': [4, 1, 3], 'successors': ['T9', 'T11']}, {'task_id': 'T6', 'duration': 7, 'demands': [10, 10, 6], 'successors': ['T9', 'T11']}, {'task_id': 'T7', 'duration': 2, 'demands': [5, 5, 1], 'successors': ['T9']}, {'task_id': 'T8', 'duration': 10, 'demands': [2, 7, 7], 'successors': ['T10']}, {'task_id': 'T9', 'duration': 1, 'demands': [6, 1, 2], 'successors': ['T12']}, {'task_id': 'T10', 'duration': 2, 'demands': [2, 2, 3], 'successors': ['T14']}, {'task_id': 'T11', 'duration': 4, 'demands': [4, 4, 3], 'successors': ['T12', 'T13']}, {'task_id': 'T12', 'duration': 4, 'demands': [2, 5, 8], 'successors': ['T16']}, {'task_id': 'T13', 'duration': 7, 'demands': [7, 6, 5], 'successors': ['T15']}, {'task_id': 'T14', 'duration': 11, 'demands': [2, 8, 6], 'successors': ['T16']}, {'task_id': 'T15', 'duration': 1, 'demands': [4, 8, 7], 'successors': ['T18', 'T19']}, {'task_id': 'T16', 'duration': 4, 'demands': [2, 1, 3], 'successors': []}, {'task_id': 'T17', 'duration': 1, 'demands': [5, 3, 3], 'successors': ['T18']}, {'task_id': 'T18', 'duration': 3, 'demands': [3, 7, 4], 'successors': ['T20']}, {'task_id': 'T19', 'duration': 5, 'demands': [1, 11, 2], 'successors': ['T20']}, {'task_id': 'T20', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 0, 'end': 2, 'duration': 2, 'demands': [3, 8, 4]}, {'task': 'T3', 'start': 8, 'end': 12, 'duration': 4, 'demands': [4, 3, 4]}, {'task': 'T4', 'start': 0, 'end': 8, 'duration': 8, 'demands': [6, 1, 2]}, {'task': 'T5', 'start': 21, 'end': 24, 'duration': 3, 'demands': [4, 1, 3]}, {'task': 'T6', 'start': 12, 'end': 19, 'duration': 7, 'demands': [10, 10, 6]}, {'task': 'T7', 'start': 19, 'end': 21, 'duration': 2, 'demands': [5, 5, 1]}, {'task': 'T8', 'start': 2, 'end': 12, 'duration': 10, 'demands': [2, 7, 7]}, {'task': 'T9', 'start': 28, 'end': 29, 'duration': 1, 'demands': [6, 1, 2]}, {'task': 'T10', 'start': 19, 'end': 21, 'duration': 2, 'demands': [2, 2, 3]}, {'task': 'T11', 'start': 24, 'end': 28, 'duration': 4, 'demands': [4, 4, 3]}, {'task': 'T12', 'start': 32, 'end': 36, 'duration': 4, 'demands': [2, 5, 8]}, {'task': 'T13', 'start': 32, 'end': 39, 'duration': 7, 'demands': [7, 6, 5]}, {'task': 'T14', 'start': 21, 'end': 32, 'duration': 11, 'demands': [2, 8, 6]}, {'task': 'T15', 'start': 39, 'end': 40, 'duration': 1, 'demands': [4, 8, 7]}, {'task': 'T16', 'start': 36, 'end': 40, 'duration': 4, 'demands': [2, 1, 3]}, {'task': 'T17', 'start': 29, 'end': 30, 'duration': 1, 'demands': [5, 3, 3]}, {'task': 'T18', 'start': 45, 'end': 48, 'duration': 3, 'demands': [3, 7, 4]}, {'task': 'T19', 'start': 40, 'end': 45, 'duration': 5, 'demands': [1, 11, 2]}, {'task': 'T20', 'start': 48, 'end': 49, 'duration': 1, 'demands': [0, 0, 0]}]",13,csv,1
RCPSP,RCPSP,"Someone in the lab needs to map out the day: every experiment has a fixed runtime, it uses up certain instruments and tech time while it’s active, and some experiments depend on the results of earlier ones. The job is to pick start times, making sure each experiment runs exactly once, dependencies are honored, and at no point do equipment or technicians get overbooked. What makes one timetable better than another is simple — the sooner the last experiment is done, the better; use that final completion time to compare plans. The specific experiment schedule and resource limits are given below.
There are 21 experiments to schedule, with 3 resource types available and capacities .
| resource_id | capacity |
|---|---|
| 0 | 9 |
| 1 | 15 |
| 2 | 10 |
| experiment_id | runtime | resource_demands | dependent_experiments |
|---|---|---|---|
| T1 | 1 | 0, 0, 0 | T2, T3 |
| T2 | 2 | 2, 3, 4 | T6, T8 |
| T3 | 2 | 9, 5, 3 | T5, T8 |
| T4 | 5 | 5, 4, 4 | T6, T7 |
| T5 | 5 | 2, 1, 8 | T9, T10 |
| T6 | 3 | 3, 6, 3 | T9, T10 |
| T7 | 5 | 2, 7, 2 | T9, T10 |
| T8 | 6 | 2, 3, 4 | T9, T11 |
| T9 | 2 | 5, 2, 2 | T12, T15 |
| T10 | 10 | 3, 2, 3 | T12 |
| T11 | 1 | 2, 2, 3 | T13, T14 |
| T12 | 5 | 1, 6, 2 | T16 |
| T13 | 2 | 3, 2, 2 | T17 |
| T14 | 4 | 7, 8, 5 | T18 |
| T15 | 4 | 1, 5, 4 | T16 |
| T16 | 3 | 5, 7, 6 | T19 |
| T17 | 1 | 3, 3, 6 | T19 |
| T18 | 7 | 5, 3, 6 | T20 |
| T19 | 4 | 2, 6, 7 | T21 |
| T20 | 1 | 1, 8, 2 | T21 |
| T21 | 1 | 0, 0, 0 | none |
Respect these experiment runtimes, resource demands, and precedences; use the final completion time to compare timetables.
Also, when you hand me the timetable, please use a simple JSON shape so it's easy to parse and check.
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
Think of it like a little form: ""solution"" holds a list of experiment entries; each entry names the task (the experiment label) and the start and end times when that experiment runs. It's just a sketch of the shape I expect, not the actual schedule — you'll fill in the real task ids and times.
One more important thing: use the exact identifiers from the instance input — don't rename them or invent new ones. Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'nr_tasks': 21, 'nr_resources': 3, 'capacities': [9, 15, 10], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2]}, {'duration': 2, 'demands': [2, 3, 4], 'successors': [5, 7]}, {'duration': 2, 'demands': [9, 5, 3], 'successors': [4, 7]}, {'duration': 5, 'demands': [5, 4, 4], 'successors': [5, 6]}, {'duration': 5, 'demands': [2, 1, 8], 'successors': [8, 9]}, {'duration': 3, 'demands': [3, 6, 3], 'successors': [8, 9]}, {'duration': 5, 'demands': [2, 7, 2], 'successors': [8, 9]}, {'duration': 6, 'demands': [2, 3, 4], 'successors': [8, 10]}, {'duration': 2, 'demands': [5, 2, 2], 'successors': [11, 14]}, {'duration': 10, 'demands': [3, 2, 3], 'successors': [11]}, {'duration': 1, 'demands': [2, 2, 3], 'successors': [12, 13]}, {'duration': 5, 'demands': [1, 6, 2], 'successors': [15]}, {'duration': 2, 'demands': [3, 2, 2], 'successors': [16]}, {'duration': 4, 'demands': [7, 8, 5], 'successors': [17]}, {'duration': 4, 'demands': [1, 5, 4], 'successors': [15]}, {'duration': 3, 'demands': [5, 7, 6], 'successors': [18]}, {'duration': 1, 'demands': [3, 3, 6], 'successors': [18]}, {'duration': 7, 'demands': [5, 3, 6], 'successors': [19]}, {'duration': 4, 'demands': [2, 6, 7], 'successors': [20]}, {'duration': 1, 'demands': [1, 8, 2], 'successors': [20]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 1, 'end': 3, 'duration': 2, 'demands': [2, 3, 4]}, {'task': 2, 'start': 5, 'end': 7, 'duration': 2, 'demands': [9, 5, 3]}, {'task': 3, 'start': 0, 'end': 5, 'duration': 5, 'demands': [5, 4, 4]}, {'task': 4, 'start': 7, 'end': 12, 'duration': 5, 'demands': [2, 1, 8]}, {'task': 5, 'start': 12, 'end': 15, 'duration': 3, 'demands': [3, 6, 3]}, {'task': 6, 'start': 7, 'end': 12, 'duration': 5, 'demands': [2, 7, 2]}, {'task': 7, 'start': 12, 'end': 18, 'duration': 6, 'demands': [2, 3, 4]}, {'task': 8, 'start': 18, 'end': 20, 'duration': 2, 'demands': [5, 2, 2]}, {'task': 9, 'start': 15, 'end': 25, 'duration': 10, 'demands': [3, 2, 3]}, {'task': 10, 'start': 20, 'end': 21, 'duration': 1, 'demands': [2, 2, 3]}, {'task': 11, 'start': 25, 'end': 30, 'duration': 5, 'demands': [1, 6, 2]}, {'task': 12, 'start': 21, 'end': 23, 'duration': 2, 'demands': [3, 2, 2]}, {'task': 13, 'start': 25, 'end': 29, 'duration': 4, 'demands': [7, 8, 5]}, {'task': 14, 'start': 20, 'end': 24, 'duration': 4, 'demands': [1, 5, 4]}, {'task': 15, 'start': 36, 'end': 39, 'duration': 3, 'demands': [5, 7, 6]}, {'task': 16, 'start': 24, 'end': 25, 'duration': 1, 'demands': [3, 3, 6]}, {'task': 17, 'start': 29, 'end': 36, 'duration': 7, 'demands': [5, 3, 6]}, {'task': 18, 'start': 39, 'end': 43, 'duration': 4, 'demands': [2, 6, 7]}, {'task': 19, 'start': 36, 'end': 37, 'duration': 1, 'demands': [1, 8, 2]}, {'task': 20, 'start': 43, 'end': 44, 'duration': 1, 'demands': [0, 0, 0]}]",44.0,"{'problem_type': 'RCPSP', 'nr_tasks': 21, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18', 'T19', 'T20', 'T21'], 'resources': [0, 1, 2], 'resource_capacities': [{'resource_id': 0, 'capacity': 9}, {'resource_id': 1, 'capacity': 15}, {'resource_id': 2, 'capacity': 10}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3']}, {'task_id': 'T2', 'duration': 2, 'demands': [2, 3, 4], 'successors': ['T6', 'T8']}, {'task_id': 'T3', 'duration': 2, 'demands': [9, 5, 3], 'successors': ['T5', 'T8']}, {'task_id': 'T4', 'duration': 5, 'demands': [5, 4, 4], 'successors': ['T6', 'T7']}, {'task_id': 'T5', 'duration': 5, 'demands': [2, 1, 8], 'successors': ['T9', 'T10']}, {'task_id': 'T6', 'duration': 3, 'demands': [3, 6, 3], 'successors': ['T9', 'T10']}, {'task_id': 'T7', 'duration': 5, 'demands': [2, 7, 2], 'successors': ['T9', 'T10']}, {'task_id': 'T8', 'duration': 6, 'demands': [2, 3, 4], 'successors': ['T9', 'T11']}, {'task_id': 'T9', 'duration': 2, 'demands': [5, 2, 2], 'successors': ['T12', 'T15']}, {'task_id': 'T10', 'duration': 10, 'demands': [3, 2, 3], 'successors': ['T12']}, {'task_id': 'T11', 'duration': 1, 'demands': [2, 2, 3], 'successors': ['T13', 'T14']}, {'task_id': 'T12', 'duration': 5, 'demands': [1, 6, 2], 'successors': ['T16']}, {'task_id': 'T13', 'duration': 2, 'demands': [3, 2, 2], 'successors': ['T17']}, {'task_id': 'T14', 'duration': 4, 'demands': [7, 8, 5], 'successors': ['T18']}, {'task_id': 'T15', 'duration': 4, 'demands': [1, 5, 4], 'successors': ['T16']}, {'task_id': 'T16', 'duration': 3, 'demands': [5, 7, 6], 'successors': ['T19']}, {'task_id': 'T17', 'duration': 1, 'demands': [3, 3, 6], 'successors': ['T19']}, {'task_id': 'T18', 'duration': 7, 'demands': [5, 3, 6], 'successors': ['T20']}, {'task_id': 'T19', 'duration': 4, 'demands': [2, 6, 7], 'successors': ['T21']}, {'task_id': 'T20', 'duration': 1, 'demands': [1, 8, 2], 'successors': ['T21']}, {'task_id': 'T21', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 1, 'end': 3, 'duration': 2, 'demands': [2, 3, 4]}, {'task': 'T3', 'start': 5, 'end': 7, 'duration': 2, 'demands': [9, 5, 3]}, {'task': 'T4', 'start': 0, 'end': 5, 'duration': 5, 'demands': [5, 4, 4]}, {'task': 'T5', 'start': 7, 'end': 12, 'duration': 5, 'demands': [2, 1, 8]}, {'task': 'T6', 'start': 12, 'end': 15, 'duration': 3, 'demands': [3, 6, 3]}, {'task': 'T7', 'start': 7, 'end': 12, 'duration': 5, 'demands': [2, 7, 2]}, {'task': 'T8', 'start': 12, 'end': 18, 'duration': 6, 'demands': [2, 3, 4]}, {'task': 'T9', 'start': 18, 'end': 20, 'duration': 2, 'demands': [5, 2, 2]}, {'task': 'T10', 'start': 15, 'end': 25, 'duration': 10, 'demands': [3, 2, 3]}, {'task': 'T11', 'start': 20, 'end': 21, 'duration': 1, 'demands': [2, 2, 3]}, {'task': 'T12', 'start': 25, 'end': 30, 'duration': 5, 'demands': [1, 6, 2]}, {'task': 'T13', 'start': 21, 'end': 23, 'duration': 2, 'demands': [3, 2, 2]}, {'task': 'T14', 'start': 25, 'end': 29, 'duration': 4, 'demands': [7, 8, 5]}, {'task': 'T15', 'start': 20, 'end': 24, 'duration': 4, 'demands': [1, 5, 4]}, {'task': 'T16', 'start': 36, 'end': 39, 'duration': 3, 'demands': [5, 7, 6]}, {'task': 'T17', 'start': 24, 'end': 25, 'duration': 1, 'demands': [3, 3, 6]}, {'task': 'T18', 'start': 29, 'end': 36, 'duration': 7, 'demands': [5, 3, 6]}, {'task': 'T19', 'start': 39, 'end': 43, 'duration': 4, 'demands': [2, 6, 7]}, {'task': 'T20', 'start': 36, 'end': 37, 'duration': 1, 'demands': [1, 8, 2]}, {'task': 'T21', 'start': 43, 'end': 44, 'duration': 1, 'demands': [0, 0, 0]}]",14,markdown_table,0
RCPSP,RCPSP,"Someone on the floor is juggling start times for each picking and packing job — each job takes a set amount of time, needs a few forklifts and some hands while it’s running, and often has to wait for other jobs to finish first. The plan must include every job exactly once, keep the running count of forklifts and staff within the limits at all moments, and try to make the shipment go out as early as possible — that target is simply the time when the last job ends. The detailed instance (jobs, times, and resources) appears below.
{
""total_jobs"": 21,
""resource_types_count"": 3,
""resources"": [
1,
2,
3
],
""resource_capacities"": [
{
""resource_id"": 1,
""capacity"": 12
},
{
""resource_id"": 2,
""capacity"": 10
},
{
""resource_id"": 3,
""capacity"": 15
}
],
""tasks"": [
{
""job_id"": ""T1"",
""job_duration"": 1,
""resource_demands"": [
0,
0,
0
],
""successor_jobs"": [
""T2"",
""T3"",
""T4""
]
},
{
""job_id"": ""T2"",
""job_duration"": 9,
""resource_demands"": [
5,
3,
3
],
""successor_jobs"": [
""T5"",
""T8""
]
},
{
""job_id"": ""T3"",
""job_duration"": 5,
""resource_demands"": [
4,
5,
2
],
""successor_jobs"": [
""T5"",
""T8""
]
},
{
""job_id"": ""T4"",
""job_duration"": 4,
""resource_demands"": [
3,
3,
1
],
""successor_jobs"": [
""T6"",
""T7"",
""T8""
]
},
{
""job_id"": ""T5"",
""job_duration"": 6,
""resource_demands"": [
8,
1,
3
],
""successor_jobs"": [
""T9""
]
},
{
""job_id"": ""T6"",
""job_duration"": 1,
""resource_demands"": [
4,
4,
3
],
""successor_jobs"": [
""T10""
]
},
{
""job_id"": ""T7"",
""job_duration"": 6,
""resource_demands"": [
6,
10,
3
],
""successor_jobs"": [
""T9"",
""T10""
]
},
{
""job_id"": ""T8"",
""job_duration"": 3,
""resource_demands"": [
2,
3,
5
],
""successor_jobs"": [
""T9"",
""T10""
]
},
{
""job_id"": ""T9"",
""job_duration"": 10,
""resource_demands"": [
3,
3,
1
],
""successor_jobs"": []
},
{
""job_id"": ""T10"",
""job_duration"": 3,
""resource_demands"": [
5,
3,
5
],
""successor_jobs"": [
""T11""
]
},
{
""job_id"": ""T11"",
""job_duration"": 5,
""resource_demands"": [
1,
4,
6
],
""successor_jobs"": []
},
{
""job_id"": ""T12"",
""job_duration"": 5,
""resource_demands"": [
2,
3,
8
],
""successor_jobs"": [
""T13""
]
},
{
""job_id"": ""T13"",
""job_duration"": 7,
""resource_demands"": [
7,
7,
4
],
""successor_jobs"": [
""T16"",
""T18""
]
},
{
""job_id"": ""T14"",
""job_duration"": 4,
""resource_demands"": [
3,
5,
3
],
""successor_jobs"": [
""T15"",
""T17""
]
},
{
""job_id"": ""T15"",
""job_duration"": 5,
""resource_demands"": [
2,
3,
1
],
""successor_jobs"": [
""T19""
]
},
{
""job_id"": ""T16"",
""job_duration"": 9,
""resource_demands"": [
3,
3,
1
],
""successor_jobs"": [
""T19""
]
},
{
""job_id"": ""T17"",
""job_duration"": 7,
""resource_demands"": [
2,
0,
8
],
""successor_jobs"": [
""T19"",
""T20""
]
},
{
""job_id"": ""T18"",
""job_duration"": 2,
""resource_demands"": [
3,
4,
2
],
""successor_jobs"": [
""T19""
]
},
{
""job_id"": ""T19"",
""job_duration"": 3,
""resource_demands"": [
0,
2,
2
],
""successor_jobs"": [
""T21""
]
},
{
""job_id"": ""T20"",
""job_duration"": 2,
""resource_demands"": [
2,
3,
4
],
""successor_jobs"": [
""T21""
]
},
{
""job_id"": ""T21"",
""job_duration"": 1,
""resource_demands"": [
0,
0,
0
],
""successor_jobs"": []
}
]
}
If you want to hand me the schedule, a nice, tidy JSON layout works best — something like this shape will do the job:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
This just sketches the shape: ""solution"" is the list of all jobs, and each entry says which task (its id) and when it starts and ends. Think of it like filling out a little form for each picking/packing job: the job label, its start time, and its end time. It’s just an example of the format I expect, not the actual schedule.
Please make sure to use the exact identifiers from the instance input — don’t rename tasks or invent new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'nr_tasks': 21, 'nr_resources': 3, 'capacities': [12, 10, 15], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2, 3]}, {'duration': 9, 'demands': [5, 3, 3], 'successors': [4, 7]}, {'duration': 5, 'demands': [4, 5, 2], 'successors': [4, 7]}, {'duration': 4, 'demands': [3, 3, 1], 'successors': [5, 6, 7]}, {'duration': 6, 'demands': [8, 1, 3], 'successors': [8]}, {'duration': 1, 'demands': [4, 4, 3], 'successors': [9]}, {'duration': 6, 'demands': [6, 10, 3], 'successors': [8, 9]}, {'duration': 3, 'demands': [2, 3, 5], 'successors': [8, 9]}, {'duration': 10, 'demands': [3, 3, 1], 'successors': []}, {'duration': 3, 'demands': [5, 3, 5], 'successors': [10]}, {'duration': 5, 'demands': [1, 4, 6], 'successors': []}, {'duration': 5, 'demands': [2, 3, 8], 'successors': [12]}, {'duration': 7, 'demands': [7, 7, 4], 'successors': [15, 17]}, {'duration': 4, 'demands': [3, 5, 3], 'successors': [14, 16]}, {'duration': 5, 'demands': [2, 3, 1], 'successors': [18]}, {'duration': 9, 'demands': [3, 3, 1], 'successors': [18]}, {'duration': 7, 'demands': [2, 0, 8], 'successors': [18, 19]}, {'duration': 2, 'demands': [3, 4, 2], 'successors': [18]}, {'duration': 3, 'demands': [0, 2, 2], 'successors': [20]}, {'duration': 2, 'demands': [2, 3, 4], 'successors': [20]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 4, 'end': 13, 'duration': 9, 'demands': [5, 3, 3]}, {'task': 2, 'start': 1, 'end': 6, 'duration': 5, 'demands': [4, 5, 2]}, {'task': 3, 'start': 6, 'end': 10, 'duration': 4, 'demands': [3, 3, 1]}, {'task': 4, 'start': 24, 'end': 30, 'duration': 6, 'demands': [8, 1, 3]}, {'task': 5, 'start': 10, 'end': 11, 'duration': 1, 'demands': [4, 4, 3]}, {'task': 6, 'start': 18, 'end': 24, 'duration': 6, 'demands': [6, 10, 3]}, {'task': 7, 'start': 24, 'end': 27, 'duration': 3, 'demands': [2, 3, 5]}, {'task': 8, 'start': 30, 'end': 40, 'duration': 10, 'demands': [3, 3, 1]}, {'task': 9, 'start': 30, 'end': 33, 'duration': 3, 'demands': [5, 3, 5]}, {'task': 10, 'start': 35, 'end': 40, 'duration': 5, 'demands': [1, 4, 6]}, {'task': 11, 'start': 6, 'end': 11, 'duration': 5, 'demands': [2, 3, 8]}, {'task': 12, 'start': 11, 'end': 18, 'duration': 7, 'demands': [7, 7, 4]}, {'task': 13, 'start': 0, 'end': 4, 'duration': 4, 'demands': [3, 5, 3]}, {'task': 14, 'start': 13, 'end': 18, 'duration': 5, 'demands': [2, 3, 1]}, {'task': 15, 'start': 27, 'end': 36, 'duration': 9, 'demands': [3, 3, 1]}, {'task': 16, 'start': 13, 'end': 20, 'duration': 7, 'demands': [2, 0, 8]}, {'task': 17, 'start': 33, 'end': 35, 'duration': 2, 'demands': [3, 4, 2]}, {'task': 18, 'start': 36, 'end': 39, 'duration': 3, 'demands': [0, 2, 2]}, {'task': 19, 'start': 24, 'end': 26, 'duration': 2, 'demands': [2, 3, 4]}, {'task': 20, 'start': 39, 'end': 40, 'duration': 1, 'demands': [0, 0, 0]}]",40.0,"{'problem_type': 'RCPSP', 'nr_tasks': 21, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18', 'T19', 'T20', 'T21'], 'resources': [1, 2, 3], 'resource_capacities': [{'resource_id': 1, 'capacity': 12}, {'resource_id': 2, 'capacity': 10}, {'resource_id': 3, 'capacity': 15}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3', 'T4']}, {'task_id': 'T2', 'duration': 9, 'demands': [5, 3, 3], 'successors': ['T5', 'T8']}, {'task_id': 'T3', 'duration': 5, 'demands': [4, 5, 2], 'successors': ['T5', 'T8']}, {'task_id': 'T4', 'duration': 4, 'demands': [3, 3, 1], 'successors': ['T6', 'T7', 'T8']}, {'task_id': 'T5', 'duration': 6, 'demands': [8, 1, 3], 'successors': ['T9']}, {'task_id': 'T6', 'duration': 1, 'demands': [4, 4, 3], 'successors': ['T10']}, {'task_id': 'T7', 'duration': 6, 'demands': [6, 10, 3], 'successors': ['T9', 'T10']}, {'task_id': 'T8', 'duration': 3, 'demands': [2, 3, 5], 'successors': ['T9', 'T10']}, {'task_id': 'T9', 'duration': 10, 'demands': [3, 3, 1], 'successors': []}, {'task_id': 'T10', 'duration': 3, 'demands': [5, 3, 5], 'successors': ['T11']}, {'task_id': 'T11', 'duration': 5, 'demands': [1, 4, 6], 'successors': []}, {'task_id': 'T12', 'duration': 5, 'demands': [2, 3, 8], 'successors': ['T13']}, {'task_id': 'T13', 'duration': 7, 'demands': [7, 7, 4], 'successors': ['T16', 'T18']}, {'task_id': 'T14', 'duration': 4, 'demands': [3, 5, 3], 'successors': ['T15', 'T17']}, {'task_id': 'T15', 'duration': 5, 'demands': [2, 3, 1], 'successors': ['T19']}, {'task_id': 'T16', 'duration': 9, 'demands': [3, 3, 1], 'successors': ['T19']}, {'task_id': 'T17', 'duration': 7, 'demands': [2, 0, 8], 'successors': ['T19', 'T20']}, {'task_id': 'T18', 'duration': 2, 'demands': [3, 4, 2], 'successors': ['T19']}, {'task_id': 'T19', 'duration': 3, 'demands': [0, 2, 2], 'successors': ['T21']}, {'task_id': 'T20', 'duration': 2, 'demands': [2, 3, 4], 'successors': ['T21']}, {'task_id': 'T21', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 4, 'end': 13, 'duration': 9, 'demands': [5, 3, 3]}, {'task': 'T3', 'start': 1, 'end': 6, 'duration': 5, 'demands': [4, 5, 2]}, {'task': 'T4', 'start': 6, 'end': 10, 'duration': 4, 'demands': [3, 3, 1]}, {'task': 'T5', 'start': 24, 'end': 30, 'duration': 6, 'demands': [8, 1, 3]}, {'task': 'T6', 'start': 10, 'end': 11, 'duration': 1, 'demands': [4, 4, 3]}, {'task': 'T7', 'start': 18, 'end': 24, 'duration': 6, 'demands': [6, 10, 3]}, {'task': 'T8', 'start': 24, 'end': 27, 'duration': 3, 'demands': [2, 3, 5]}, {'task': 'T9', 'start': 30, 'end': 40, 'duration': 10, 'demands': [3, 3, 1]}, {'task': 'T10', 'start': 30, 'end': 33, 'duration': 3, 'demands': [5, 3, 5]}, {'task': 'T11', 'start': 35, 'end': 40, 'duration': 5, 'demands': [1, 4, 6]}, {'task': 'T12', 'start': 6, 'end': 11, 'duration': 5, 'demands': [2, 3, 8]}, {'task': 'T13', 'start': 11, 'end': 18, 'duration': 7, 'demands': [7, 7, 4]}, {'task': 'T14', 'start': 0, 'end': 4, 'duration': 4, 'demands': [3, 5, 3]}, {'task': 'T15', 'start': 13, 'end': 18, 'duration': 5, 'demands': [2, 3, 1]}, {'task': 'T16', 'start': 27, 'end': 36, 'duration': 9, 'demands': [3, 3, 1]}, {'task': 'T17', 'start': 13, 'end': 20, 'duration': 7, 'demands': [2, 0, 8]}, {'task': 'T18', 'start': 33, 'end': 35, 'duration': 2, 'demands': [3, 4, 2]}, {'task': 'T19', 'start': 36, 'end': 39, 'duration': 3, 'demands': [0, 2, 2]}, {'task': 'T20', 'start': 24, 'end': 26, 'duration': 2, 'demands': [2, 3, 4]}, {'task': 'T21', 'start': 39, 'end': 40, 'duration': 1, 'demands': [0, 0, 0]}]",15,json,1
RCPSP,RCPSP,"Many projects look simple on paper until the crews and tools start to overlap; this one lists hardscape and planting phases that each take a certain amount of time and need certain crews or equipment while they run. The decision is to place each phase on the timeline, respecting which phases must finish before others can begin, and avoiding any overlap that would demand more resources than exist. A smarter placement is the one where the final phase finishes sooner — that finish time is the bottom-line measure — and the concrete task breakdown and resource numbers are shown below.
# total_phases=19
# resource_types_count=3
# resources=0, 1, 2
resource_id,capacity
0,9
1,14
2,8
phase_id,phase_duration,resource_requirements,finish_to_start_successors
T1,1,""0, 0, 0"",""T2, T3, T4""
T2,4,""6, 6, 4"",""T7""
T3,2,""9, 3, 6"",""T5, T7""
T4,5,""5, 1, 4"",""T5, T6""
T5,10,""5, 1, 6"",""T9, T11""
T6,4,""4, 5, 8"",""T10, T12""
T7,3,""6, 6, 2"",""T10, T11""
T8,6,""3, 5, 3"",""T11""
T9,2,""3, 3, 2"",""T13, T14""
T10,1,""4, 1, 4"",""T13""
T11,1,""3, 5, 3"",""T13""
T12,1,""2, 1, 4"",""T13""
T13,2,""1, 6, 2"",""T15""
T14,4,""1, 3, 7"",""none""
T15,3,""3, 4, 5"",""T17""
T16,2,""5, 3, 2"",""T17, T18""
T17,1,""1, 3, 8"",""T19""
T18,7,""1, 8, 4"",""T19""
T19,1,""0, 0, 0"",""none""
Also, when you send the actual schedule back, please use this simple JSON shape — nothing fancy, just a list of tasks with their start and end times in that structure:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
Think of it like a little form: each entry names the task and the time window when it runs. This block is just the sketch of the shape I need — replace those placeholders with the real task identifiers and numbers for start and end times when you give the schedule.
Please make sure to use the exact task identifiers from the instance input — do not rename tasks or invent new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""
That's it — fill in that JSON shape with the real schedule and we'll be set.","{'nr_tasks': 19, 'nr_resources': 3, 'capacities': [9, 14, 8], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2, 3]}, {'duration': 4, 'demands': [6, 6, 4], 'successors': [6]}, {'duration': 2, 'demands': [9, 3, 6], 'successors': [4, 6]}, {'duration': 5, 'demands': [5, 1, 4], 'successors': [4, 5]}, {'duration': 10, 'demands': [5, 1, 6], 'successors': [8, 10]}, {'duration': 4, 'demands': [4, 5, 8], 'successors': [9, 11]}, {'duration': 3, 'demands': [6, 6, 2], 'successors': [9, 10]}, {'duration': 6, 'demands': [3, 5, 3], 'successors': [10]}, {'duration': 2, 'demands': [3, 3, 2], 'successors': [12, 13]}, {'duration': 1, 'demands': [4, 1, 4], 'successors': [12]}, {'duration': 1, 'demands': [3, 5, 3], 'successors': [12]}, {'duration': 1, 'demands': [2, 1, 4], 'successors': [12]}, {'duration': 2, 'demands': [1, 6, 2], 'successors': [14]}, {'duration': 4, 'demands': [1, 3, 7], 'successors': []}, {'duration': 3, 'demands': [3, 4, 5], 'successors': [16]}, {'duration': 2, 'demands': [5, 3, 2], 'successors': [16, 17]}, {'duration': 1, 'demands': [1, 3, 8], 'successors': [18]}, {'duration': 7, 'demands': [1, 8, 4], 'successors': [18]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 23, 'end': 27, 'duration': 4, 'demands': [6, 6, 4]}, {'task': 2, 'start': 7, 'end': 9, 'duration': 2, 'demands': [9, 3, 6]}, {'task': 3, 'start': 2, 'end': 7, 'duration': 5, 'demands': [5, 1, 4]}, {'task': 4, 'start': 9, 'end': 19, 'duration': 10, 'demands': [5, 1, 6]}, {'task': 5, 'start': 19, 'end': 23, 'duration': 4, 'demands': [4, 5, 8]}, {'task': 6, 'start': 27, 'end': 30, 'duration': 3, 'demands': [6, 6, 2]}, {'task': 7, 'start': 0, 'end': 6, 'duration': 6, 'demands': [3, 5, 3]}, {'task': 8, 'start': 23, 'end': 25, 'duration': 2, 'demands': [3, 3, 2]}, {'task': 9, 'start': 31, 'end': 32, 'duration': 1, 'demands': [4, 1, 4]}, {'task': 10, 'start': 30, 'end': 31, 'duration': 1, 'demands': [3, 5, 3]}, {'task': 11, 'start': 25, 'end': 26, 'duration': 1, 'demands': [2, 1, 4]}, {'task': 12, 'start': 32, 'end': 34, 'duration': 2, 'demands': [1, 6, 2]}, {'task': 13, 'start': 38, 'end': 42, 'duration': 4, 'demands': [1, 3, 7]}, {'task': 14, 'start': 34, 'end': 37, 'duration': 3, 'demands': [3, 4, 5]}, {'task': 15, 'start': 0, 'end': 2, 'duration': 2, 'demands': [5, 3, 2]}, {'task': 16, 'start': 37, 'end': 38, 'duration': 1, 'demands': [1, 3, 8]}, {'task': 17, 'start': 26, 'end': 33, 'duration': 7, 'demands': [1, 8, 4]}, {'task': 18, 'start': 38, 'end': 39, 'duration': 1, 'demands': [0, 0, 0]}]",42.0,"{'problem_type': 'RCPSP', 'nr_tasks': 19, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18', 'T19'], 'resources': [0, 1, 2], 'resource_capacities': [{'resource_id': 0, 'capacity': 9}, {'resource_id': 1, 'capacity': 14}, {'resource_id': 2, 'capacity': 8}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3', 'T4']}, {'task_id': 'T2', 'duration': 4, 'demands': [6, 6, 4], 'successors': ['T7']}, {'task_id': 'T3', 'duration': 2, 'demands': [9, 3, 6], 'successors': ['T5', 'T7']}, {'task_id': 'T4', 'duration': 5, 'demands': [5, 1, 4], 'successors': ['T5', 'T6']}, {'task_id': 'T5', 'duration': 10, 'demands': [5, 1, 6], 'successors': ['T9', 'T11']}, {'task_id': 'T6', 'duration': 4, 'demands': [4, 5, 8], 'successors': ['T10', 'T12']}, {'task_id': 'T7', 'duration': 3, 'demands': [6, 6, 2], 'successors': ['T10', 'T11']}, {'task_id': 'T8', 'duration': 6, 'demands': [3, 5, 3], 'successors': ['T11']}, {'task_id': 'T9', 'duration': 2, 'demands': [3, 3, 2], 'successors': ['T13', 'T14']}, {'task_id': 'T10', 'duration': 1, 'demands': [4, 1, 4], 'successors': ['T13']}, {'task_id': 'T11', 'duration': 1, 'demands': [3, 5, 3], 'successors': ['T13']}, {'task_id': 'T12', 'duration': 1, 'demands': [2, 1, 4], 'successors': ['T13']}, {'task_id': 'T13', 'duration': 2, 'demands': [1, 6, 2], 'successors': ['T15']}, {'task_id': 'T14', 'duration': 4, 'demands': [1, 3, 7], 'successors': []}, {'task_id': 'T15', 'duration': 3, 'demands': [3, 4, 5], 'successors': ['T17']}, {'task_id': 'T16', 'duration': 2, 'demands': [5, 3, 2], 'successors': ['T17', 'T18']}, {'task_id': 'T17', 'duration': 1, 'demands': [1, 3, 8], 'successors': ['T19']}, {'task_id': 'T18', 'duration': 7, 'demands': [1, 8, 4], 'successors': ['T19']}, {'task_id': 'T19', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 23, 'end': 27, 'duration': 4, 'demands': [6, 6, 4]}, {'task': 'T3', 'start': 7, 'end': 9, 'duration': 2, 'demands': [9, 3, 6]}, {'task': 'T4', 'start': 2, 'end': 7, 'duration': 5, 'demands': [5, 1, 4]}, {'task': 'T5', 'start': 9, 'end': 19, 'duration': 10, 'demands': [5, 1, 6]}, {'task': 'T6', 'start': 19, 'end': 23, 'duration': 4, 'demands': [4, 5, 8]}, {'task': 'T7', 'start': 27, 'end': 30, 'duration': 3, 'demands': [6, 6, 2]}, {'task': 'T8', 'start': 0, 'end': 6, 'duration': 6, 'demands': [3, 5, 3]}, {'task': 'T9', 'start': 23, 'end': 25, 'duration': 2, 'demands': [3, 3, 2]}, {'task': 'T10', 'start': 31, 'end': 32, 'duration': 1, 'demands': [4, 1, 4]}, {'task': 'T11', 'start': 30, 'end': 31, 'duration': 1, 'demands': [3, 5, 3]}, {'task': 'T12', 'start': 25, 'end': 26, 'duration': 1, 'demands': [2, 1, 4]}, {'task': 'T13', 'start': 32, 'end': 34, 'duration': 2, 'demands': [1, 6, 2]}, {'task': 'T14', 'start': 38, 'end': 42, 'duration': 4, 'demands': [1, 3, 7]}, {'task': 'T15', 'start': 34, 'end': 37, 'duration': 3, 'demands': [3, 4, 5]}, {'task': 'T16', 'start': 0, 'end': 2, 'duration': 2, 'demands': [5, 3, 2]}, {'task': 'T17', 'start': 37, 'end': 38, 'duration': 1, 'demands': [1, 3, 8]}, {'task': 'T18', 'start': 26, 'end': 33, 'duration': 7, 'demands': [1, 8, 4]}, {'task': 'T19', 'start': 38, 'end': 39, 'duration': 1, 'demands': [0, 0, 0]}]",16,csv,0
RCPSP,RCPSP,"Imagine the behind-the-scenes scramble: every booth and performance block has a known setup length, needs certain setup teams and power lines while it’s being built, and a few of them have to wait for others to be done first. The organizer’s job is to place each job on the timeline with a start time so overlapping work never asks for more teams or electricity than exists, nothing gets omitted or duplicated, and the full site is ready at the earliest moment — basically shave down the time when the last build completes. The specifics for each job and the available crews and power are below.
There are 19 stalls and performance blocks to schedule, 3 resource types to track, and resource capacities are .
For task T1, the organizer must place a 1-time activity that consumes 0, 0, 0 while running and cannot start until T2, T3, T4 have finished.
For task T2, the organizer must place a 4-time activity that consumes 3, 10, 3 while running and cannot start until T5, T8 have finished.
For task T3, the organizer must place a 4-time activity that consumes 6, 6, 3 while running and cannot start until T5, T8 have finished.
For task T4, the organizer must place a 4-time activity that consumes 3, 2, 3 while running and cannot start until T6, T7, T8 have finished.
For task T5, the organizer must place a 5-time activity that consumes 6, 1, 2 while running and cannot start until T9, T19 have finished.
For task T6, the organizer must place a 2-time activity that consumes 8, 5, 3 while running and cannot start until T10 have finished.
For task T7, the organizer must place a 6-time activity that consumes 2, 7, 2 while running and cannot start until T9, T10, T13 have finished.
For task T8, the organizer must place a 3-time activity that consumes 1, 3, 3 while running and cannot start until T9, T10 have finished.
For task T9, the organizer must place a 4-time activity that consumes 5, 1, 3 while running and cannot start until T11 have finished.
For task T10, the organizer must place a 5-time activity that consumes 2, 3, 6 while running and cannot start until T11 have finished.
For task T11, the organizer must place a 3-time activity that consumes 1, 3, 8 while running and cannot start until T14 have finished.
For task T12, the organizer must place a 2-time activity that consumes 1, 4, 4 while running and cannot start until T13 have finished.
For task T13, the organizer must place a 2-time activity that consumes 5, 3, 2 while running and cannot start until T16 have finished.
For task T14, the organizer must place a 5-time activity that consumes 10, 3, 4 while running and cannot start until T15, T17 have finished.
For task T15, the organizer must place a 3-time activity that consumes 1, 9, 2 while running and cannot start until T18 have finished.
For task T16, the organizer must place a 4-time activity that consumes 6, 4, 1 while running and cannot start until T18 have finished.
For task T17, the organizer must place a 7-time activity that consumes 2, 0, 2 while running and cannot start until T18 have finished.
For task T18, the organizer must place a 3-time activity that consumes 0, 1, 5 while running and cannot start until T19 have finished.
For task T19, the organizer must place a 1-time activity that consumes 0, 0, 0 while running and cannot start until none have finished.
The organizer will use these lines to schedule each job and shave down the time when the last build completes.
Also, when you hand me the schedule, please use this simple JSON shape so it's quick to parse and nobody has to guess what goes where.
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
This just means the top-level ""solution"" is a list of entries; each entry names a task and the time it starts and finishes. Think of ""task"" as the job label (which matches whatever label appears in the input), and ""start"" / ""end"" as the scheduled times — super straightforward, like filling in a short form. This block is only a sketch of the expected shape, not the actual schedule.
Please make sure you use the exact identifiers from the instance input — don't rename them or invent new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'nr_tasks': 19, 'nr_resources': 3, 'capacities': [15, 17, 18], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2, 3]}, {'duration': 4, 'demands': [3, 10, 3], 'successors': [4, 7]}, {'duration': 4, 'demands': [6, 6, 3], 'successors': [4, 7]}, {'duration': 4, 'demands': [3, 2, 3], 'successors': [5, 6, 7]}, {'duration': 5, 'demands': [6, 1, 2], 'successors': [8, 18]}, {'duration': 2, 'demands': [8, 5, 3], 'successors': [9]}, {'duration': 6, 'demands': [2, 7, 2], 'successors': [8, 9, 12]}, {'duration': 3, 'demands': [1, 3, 3], 'successors': [8, 9]}, {'duration': 4, 'demands': [5, 1, 3], 'successors': [10]}, {'duration': 5, 'demands': [2, 3, 6], 'successors': [10]}, {'duration': 3, 'demands': [1, 3, 8], 'successors': [13]}, {'duration': 2, 'demands': [1, 4, 4], 'successors': [12]}, {'duration': 2, 'demands': [5, 3, 2], 'successors': [15]}, {'duration': 5, 'demands': [10, 3, 4], 'successors': [14, 16]}, {'duration': 3, 'demands': [1, 9, 2], 'successors': [17]}, {'duration': 4, 'demands': [6, 4, 1], 'successors': [17]}, {'duration': 7, 'demands': [2, 0, 2], 'successors': [17]}, {'duration': 3, 'demands': [0, 1, 5], 'successors': [18]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 1, 'end': 5, 'duration': 4, 'demands': [3, 10, 3]}, {'task': 2, 'start': 5, 'end': 9, 'duration': 4, 'demands': [6, 6, 3]}, {'task': 3, 'start': 1, 'end': 5, 'duration': 4, 'demands': [3, 2, 3]}, {'task': 4, 'start': 9, 'end': 14, 'duration': 5, 'demands': [6, 1, 2]}, {'task': 5, 'start': 11, 'end': 13, 'duration': 2, 'demands': [8, 5, 3]}, {'task': 6, 'start': 5, 'end': 11, 'duration': 6, 'demands': [2, 7, 2]}, {'task': 7, 'start': 9, 'end': 12, 'duration': 3, 'demands': [1, 3, 3]}, {'task': 8, 'start': 14, 'end': 18, 'duration': 4, 'demands': [5, 1, 3]}, {'task': 9, 'start': 13, 'end': 18, 'duration': 5, 'demands': [2, 3, 6]}, {'task': 10, 'start': 18, 'end': 21, 'duration': 3, 'demands': [1, 3, 8]}, {'task': 11, 'start': 0, 'end': 2, 'duration': 2, 'demands': [1, 4, 4]}, {'task': 12, 'start': 13, 'end': 15, 'duration': 2, 'demands': [5, 3, 2]}, {'task': 13, 'start': 21, 'end': 26, 'duration': 5, 'demands': [10, 3, 4]}, {'task': 14, 'start': 26, 'end': 29, 'duration': 3, 'demands': [1, 9, 2]}, {'task': 15, 'start': 15, 'end': 19, 'duration': 4, 'demands': [6, 4, 1]}, {'task': 16, 'start': 26, 'end': 33, 'duration': 7, 'demands': [2, 0, 2]}, {'task': 17, 'start': 33, 'end': 36, 'duration': 3, 'demands': [0, 1, 5]}, {'task': 18, 'start': 36, 'end': 37, 'duration': 1, 'demands': [0, 0, 0]}]",37.0,"{'problem_type': 'RCPSP', 'nr_tasks': 19, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18', 'T19'], 'resources': ['A', 'B', 'C'], 'resource_capacities': [{'resource_id': 'A', 'capacity': 15}, {'resource_id': 'B', 'capacity': 17}, {'resource_id': 'C', 'capacity': 18}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3', 'T4']}, {'task_id': 'T2', 'duration': 4, 'demands': [3, 10, 3], 'successors': ['T5', 'T8']}, {'task_id': 'T3', 'duration': 4, 'demands': [6, 6, 3], 'successors': ['T5', 'T8']}, {'task_id': 'T4', 'duration': 4, 'demands': [3, 2, 3], 'successors': ['T6', 'T7', 'T8']}, {'task_id': 'T5', 'duration': 5, 'demands': [6, 1, 2], 'successors': ['T9', 'T19']}, {'task_id': 'T6', 'duration': 2, 'demands': [8, 5, 3], 'successors': ['T10']}, {'task_id': 'T7', 'duration': 6, 'demands': [2, 7, 2], 'successors': ['T9', 'T10', 'T13']}, {'task_id': 'T8', 'duration': 3, 'demands': [1, 3, 3], 'successors': ['T9', 'T10']}, {'task_id': 'T9', 'duration': 4, 'demands': [5, 1, 3], 'successors': ['T11']}, {'task_id': 'T10', 'duration': 5, 'demands': [2, 3, 6], 'successors': ['T11']}, {'task_id': 'T11', 'duration': 3, 'demands': [1, 3, 8], 'successors': ['T14']}, {'task_id': 'T12', 'duration': 2, 'demands': [1, 4, 4], 'successors': ['T13']}, {'task_id': 'T13', 'duration': 2, 'demands': [5, 3, 2], 'successors': ['T16']}, {'task_id': 'T14', 'duration': 5, 'demands': [10, 3, 4], 'successors': ['T15', 'T17']}, {'task_id': 'T15', 'duration': 3, 'demands': [1, 9, 2], 'successors': ['T18']}, {'task_id': 'T16', 'duration': 4, 'demands': [6, 4, 1], 'successors': ['T18']}, {'task_id': 'T17', 'duration': 7, 'demands': [2, 0, 2], 'successors': ['T18']}, {'task_id': 'T18', 'duration': 3, 'demands': [0, 1, 5], 'successors': ['T19']}, {'task_id': 'T19', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 1, 'end': 5, 'duration': 4, 'demands': [3, 10, 3]}, {'task': 'T3', 'start': 5, 'end': 9, 'duration': 4, 'demands': [6, 6, 3]}, {'task': 'T4', 'start': 1, 'end': 5, 'duration': 4, 'demands': [3, 2, 3]}, {'task': 'T5', 'start': 9, 'end': 14, 'duration': 5, 'demands': [6, 1, 2]}, {'task': 'T6', 'start': 11, 'end': 13, 'duration': 2, 'demands': [8, 5, 3]}, {'task': 'T7', 'start': 5, 'end': 11, 'duration': 6, 'demands': [2, 7, 2]}, {'task': 'T8', 'start': 9, 'end': 12, 'duration': 3, 'demands': [1, 3, 3]}, {'task': 'T9', 'start': 14, 'end': 18, 'duration': 4, 'demands': [5, 1, 3]}, {'task': 'T10', 'start': 13, 'end': 18, 'duration': 5, 'demands': [2, 3, 6]}, {'task': 'T11', 'start': 18, 'end': 21, 'duration': 3, 'demands': [1, 3, 8]}, {'task': 'T12', 'start': 0, 'end': 2, 'duration': 2, 'demands': [1, 4, 4]}, {'task': 'T13', 'start': 13, 'end': 15, 'duration': 2, 'demands': [5, 3, 2]}, {'task': 'T14', 'start': 21, 'end': 26, 'duration': 5, 'demands': [10, 3, 4]}, {'task': 'T15', 'start': 26, 'end': 29, 'duration': 3, 'demands': [1, 9, 2]}, {'task': 'T16', 'start': 15, 'end': 19, 'duration': 4, 'demands': [6, 4, 1]}, {'task': 'T17', 'start': 26, 'end': 33, 'duration': 7, 'demands': [2, 0, 2]}, {'task': 'T18', 'start': 33, 'end': 36, 'duration': 3, 'demands': [0, 1, 5]}, {'task': 'T19', 'start': 36, 'end': 37, 'duration': 1, 'demands': [0, 0, 0]}]",17,nl,names
RCPSP,RCPSP,"There’s a remodel to run and the calendar needs filling: every task has a set duration, consumes a few specialists and tools while it runs, and depends on certain earlier jobs being done first. The job is to place each task on the timeline so nothing contradicts those orderings and the crew and kit aren’t double-booked on any day. The winning schedule is the one that finishes the entire renovation sooner — you judge that by when the last task finishes. The exact jobs, durations, and resource counts are listed below.
# total_tasks=18
# resource_types_count=3
# resources=A, B, C
resource_id,capacity
A,15
B,10
C,11
task_identifier,duration_days,resource_demand_vector,immediate_successors
T1,1,""0, 0, 0"",""T2, T3, T4""
T2,3,""2, 7, 4"",""T6, T7""
T3,1,""6, 7, 3"",""T5, T6, T7""
T4,2,""7, 4, 2"",""T7, T8""
T5,6,""5, 1, 4"",""T10""
T6,2,""5, 3, 3"",""T9, T10""
T7,4,""4, 3, 2"",""T9""
T8,3,""4, 6, 6"",""T9, T10""
T9,13,""4, 3, 1"",""T12""
T10,2,""6, 5, 3"",""T11""
T11,1,""1, 4, 6"",""T13""
T12,14,""2, 3, 2"",""T13""
T13,2,""7, 5, 6"",""T16""
T14,10,""5, 1, 4"",""T17""
T15,4,""4, 3, 5"",""T17""
T16,1,""2, 4, 11"",""T18""
T17,4,""1, 4, 2"",""T18""
T18,1,""0, 0, 0"",""none""
Also, when you send the schedule back, please use this simple JSON layout so it's easy to read and check. Here's the shape I expect:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
This is just a quick sketch of the shape I need — ""solution"" is a list of task placements. Each item is one task: ""task"" is the task identifier from the instance, ""start"" is when that task begins, and ""end"" is when it finishes. Think of it like filling out a little form for each job: which job, when it starts, and when it ends.
Please note this JSON is only the expected shape, not the actual answer. Also be sure to use the exact identifiers from the input — no renaming and no new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'nr_tasks': 18, 'nr_resources': 3, 'capacities': [15, 10, 11], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2, 3]}, {'duration': 3, 'demands': [2, 7, 4], 'successors': [5, 6]}, {'duration': 1, 'demands': [6, 7, 3], 'successors': [4, 5, 6]}, {'duration': 2, 'demands': [7, 4, 2], 'successors': [6, 7]}, {'duration': 6, 'demands': [5, 1, 4], 'successors': [9]}, {'duration': 2, 'demands': [5, 3, 3], 'successors': [8, 9]}, {'duration': 4, 'demands': [4, 3, 2], 'successors': [8]}, {'duration': 3, 'demands': [4, 6, 6], 'successors': [8, 9]}, {'duration': 13, 'demands': [4, 3, 1], 'successors': [11]}, {'duration': 2, 'demands': [6, 5, 3], 'successors': [10]}, {'duration': 1, 'demands': [1, 4, 6], 'successors': [12]}, {'duration': 14, 'demands': [2, 3, 2], 'successors': [12]}, {'duration': 2, 'demands': [7, 5, 6], 'successors': [15]}, {'duration': 10, 'demands': [5, 1, 4], 'successors': [16]}, {'duration': 4, 'demands': [4, 3, 5], 'successors': [16]}, {'duration': 1, 'demands': [2, 4, 11], 'successors': [17]}, {'duration': 4, 'demands': [1, 4, 2], 'successors': [17]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 2, 'end': 5, 'duration': 3, 'demands': [2, 7, 4]}, {'task': 2, 'start': 1, 'end': 2, 'duration': 1, 'demands': [6, 7, 3]}, {'task': 3, 'start': 5, 'end': 7, 'duration': 2, 'demands': [7, 4, 2]}, {'task': 4, 'start': 11, 'end': 17, 'duration': 6, 'demands': [5, 1, 4]}, {'task': 5, 'start': 5, 'end': 7, 'duration': 2, 'demands': [5, 3, 3]}, {'task': 6, 'start': 7, 'end': 11, 'duration': 4, 'demands': [4, 3, 2]}, {'task': 7, 'start': 8, 'end': 11, 'duration': 3, 'demands': [4, 6, 6]}, {'task': 8, 'start': 11, 'end': 24, 'duration': 13, 'demands': [4, 3, 1]}, {'task': 9, 'start': 17, 'end': 19, 'duration': 2, 'demands': [6, 5, 3]}, {'task': 10, 'start': 19, 'end': 20, 'duration': 1, 'demands': [1, 4, 6]}, {'task': 11, 'start': 24, 'end': 38, 'duration': 14, 'demands': [2, 3, 2]}, {'task': 12, 'start': 38, 'end': 40, 'duration': 2, 'demands': [7, 5, 6]}, {'task': 13, 'start': 12, 'end': 22, 'duration': 10, 'demands': [5, 1, 4]}, {'task': 14, 'start': 1, 'end': 5, 'duration': 4, 'demands': [4, 3, 5]}, {'task': 15, 'start': 40, 'end': 41, 'duration': 1, 'demands': [2, 4, 11]}, {'task': 16, 'start': 22, 'end': 26, 'duration': 4, 'demands': [1, 4, 2]}, {'task': 17, 'start': 41, 'end': 42, 'duration': 1, 'demands': [0, 0, 0]}]",42.0,"{'problem_type': 'RCPSP', 'nr_tasks': 18, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18'], 'resources': ['A', 'B', 'C'], 'resource_capacities': [{'resource_id': 'A', 'capacity': 15}, {'resource_id': 'B', 'capacity': 10}, {'resource_id': 'C', 'capacity': 11}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3', 'T4']}, {'task_id': 'T2', 'duration': 3, 'demands': [2, 7, 4], 'successors': ['T6', 'T7']}, {'task_id': 'T3', 'duration': 1, 'demands': [6, 7, 3], 'successors': ['T5', 'T6', 'T7']}, {'task_id': 'T4', 'duration': 2, 'demands': [7, 4, 2], 'successors': ['T7', 'T8']}, {'task_id': 'T5', 'duration': 6, 'demands': [5, 1, 4], 'successors': ['T10']}, {'task_id': 'T6', 'duration': 2, 'demands': [5, 3, 3], 'successors': ['T9', 'T10']}, {'task_id': 'T7', 'duration': 4, 'demands': [4, 3, 2], 'successors': ['T9']}, {'task_id': 'T8', 'duration': 3, 'demands': [4, 6, 6], 'successors': ['T9', 'T10']}, {'task_id': 'T9', 'duration': 13, 'demands': [4, 3, 1], 'successors': ['T12']}, {'task_id': 'T10', 'duration': 2, 'demands': [6, 5, 3], 'successors': ['T11']}, {'task_id': 'T11', 'duration': 1, 'demands': [1, 4, 6], 'successors': ['T13']}, {'task_id': 'T12', 'duration': 14, 'demands': [2, 3, 2], 'successors': ['T13']}, {'task_id': 'T13', 'duration': 2, 'demands': [7, 5, 6], 'successors': ['T16']}, {'task_id': 'T14', 'duration': 10, 'demands': [5, 1, 4], 'successors': ['T17']}, {'task_id': 'T15', 'duration': 4, 'demands': [4, 3, 5], 'successors': ['T17']}, {'task_id': 'T16', 'duration': 1, 'demands': [2, 4, 11], 'successors': ['T18']}, {'task_id': 'T17', 'duration': 4, 'demands': [1, 4, 2], 'successors': ['T18']}, {'task_id': 'T18', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 2, 'end': 5, 'duration': 3, 'demands': [2, 7, 4]}, {'task': 'T3', 'start': 1, 'end': 2, 'duration': 1, 'demands': [6, 7, 3]}, {'task': 'T4', 'start': 5, 'end': 7, 'duration': 2, 'demands': [7, 4, 2]}, {'task': 'T5', 'start': 11, 'end': 17, 'duration': 6, 'demands': [5, 1, 4]}, {'task': 'T6', 'start': 5, 'end': 7, 'duration': 2, 'demands': [5, 3, 3]}, {'task': 'T7', 'start': 7, 'end': 11, 'duration': 4, 'demands': [4, 3, 2]}, {'task': 'T8', 'start': 8, 'end': 11, 'duration': 3, 'demands': [4, 6, 6]}, {'task': 'T9', 'start': 11, 'end': 24, 'duration': 13, 'demands': [4, 3, 1]}, {'task': 'T10', 'start': 17, 'end': 19, 'duration': 2, 'demands': [6, 5, 3]}, {'task': 'T11', 'start': 19, 'end': 20, 'duration': 1, 'demands': [1, 4, 6]}, {'task': 'T12', 'start': 24, 'end': 38, 'duration': 14, 'demands': [2, 3, 2]}, {'task': 'T13', 'start': 38, 'end': 40, 'duration': 2, 'demands': [7, 5, 6]}, {'task': 'T14', 'start': 12, 'end': 22, 'duration': 10, 'demands': [5, 1, 4]}, {'task': 'T15', 'start': 1, 'end': 5, 'duration': 4, 'demands': [4, 3, 5]}, {'task': 'T16', 'start': 40, 'end': 41, 'duration': 1, 'demands': [2, 4, 11]}, {'task': 'T17', 'start': 22, 'end': 26, 'duration': 4, 'demands': [1, 4, 2]}, {'task': 'T18', 'start': 41, 'end': 42, 'duration': 1, 'demands': [0, 0, 0]}]",18,csv,names
RCPSP,RCPSP,"There’s a relief operation to organize where every distribution job has a fixed duration, consumes some number of trucks and volunteers while it runs, and depends on certain earlier jobs finishing before it can begin. The coordinator must pick a start time for each job, ensuring each one happens once, that simultaneous jobs don’t use more vehicles or people than available, and that the whole operation’s completion time — the moment the last job ends — is as early as possible. The exact activities, timings, and available trucks and volunteers are listed below.
# total_distribution_activities=17
# resource_type_count=3
# resources=0, 1, 2
resource_id,capacity
0,18
1,15
2,15
distribution_job_id,job_duration,resource_demands,dependent_jobs
T1,1,""0, 0, 0"",""T2, T3, T4""
T2,2,""6, 3, 4"",""T5, T6""
T3,1,""9, 3, 2"",""T5, T6, T7""
T4,1,""9, 2, 3"",""T5, T8""
T5,1,""6, 2, 3"",""T9, T10""
T6,1,""9, 3, 5"",""T10, T11, T17""
T7,2,""2, 10, 2"",""T11, T17""
T8,2,""3, 2, 3"",""T10, T11, T3""
T9,2,""3, 3, 3"",""T12, T16""
T10,2,""4, 4, 5"",""T12""
T11,1,""2, 2, 2"",""T12""
T12,2,""2, 5, 4"",""T13""
T13,1,""3, 3, 6"",""T15, T16""
T14,1,""3, 2, 4"",""T16""
T15,2,""3, 7, 5"",""T17""
T16,2,""2, 4, 3"",""T17""
T17,1,""0, 0, 0"",""none""
Also, when you send the schedule back, please use this simple JSON layout so it's easy to read and parse — just a quick sketch of the shape I need:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
This shows a list called ""solution"" made of entries for each job: ""task"" is the job identifier, ""start"" is when that job begins, and ""end"" is when it finishes. Think of it like filling out a little form for each activity: which job, and its start and end times. It's just the shape I expect — not the actual schedule itself.
Please make sure to use the exact identifiers from the instance input — do not rename them or invent new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""
I'll check the schedule against those exact IDs, so keeping them identical is important.","{'nr_tasks': 17, 'nr_resources': 3, 'capacities': [18, 15, 15], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2, 3]}, {'duration': 2, 'demands': [6, 3, 4], 'successors': [4, 5]}, {'duration': 1, 'demands': [9, 3, 2], 'successors': [4, 5, 6]}, {'duration': 1, 'demands': [9, 2, 3], 'successors': [4, 7]}, {'duration': 1, 'demands': [6, 2, 3], 'successors': [8, 9]}, {'duration': 1, 'demands': [9, 3, 5], 'successors': [9, 10, 16]}, {'duration': 2, 'demands': [2, 10, 2], 'successors': [10, 16]}, {'duration': 2, 'demands': [3, 2, 3], 'successors': [9, 10, 2]}, {'duration': 2, 'demands': [3, 3, 3], 'successors': [11, 15]}, {'duration': 2, 'demands': [4, 4, 5], 'successors': [11]}, {'duration': 1, 'demands': [2, 2, 2], 'successors': [11]}, {'duration': 2, 'demands': [2, 5, 4], 'successors': [12]}, {'duration': 1, 'demands': [3, 3, 6], 'successors': [14, 15]}, {'duration': 1, 'demands': [3, 2, 4], 'successors': [15]}, {'duration': 2, 'demands': [3, 7, 5], 'successors': [16]}, {'duration': 2, 'demands': [2, 4, 3], 'successors': [16]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 1, 'end': 3, 'duration': 2, 'demands': [6, 3, 4]}, {'task': 2, 'start': 4, 'end': 5, 'duration': 1, 'demands': [9, 3, 2]}, {'task': 3, 'start': 1, 'end': 2, 'duration': 1, 'demands': [9, 2, 3]}, {'task': 4, 'start': 5, 'end': 6, 'duration': 1, 'demands': [6, 2, 3]}, {'task': 5, 'start': 5, 'end': 6, 'duration': 1, 'demands': [9, 3, 5]}, {'task': 6, 'start': 5, 'end': 7, 'duration': 2, 'demands': [2, 10, 2]}, {'task': 7, 'start': 2, 'end': 4, 'duration': 2, 'demands': [3, 2, 3]}, {'task': 8, 'start': 6, 'end': 8, 'duration': 2, 'demands': [3, 3, 3]}, {'task': 9, 'start': 7, 'end': 9, 'duration': 2, 'demands': [4, 4, 5]}, {'task': 10, 'start': 7, 'end': 8, 'duration': 1, 'demands': [2, 2, 2]}, {'task': 11, 'start': 9, 'end': 11, 'duration': 2, 'demands': [2, 5, 4]}, {'task': 12, 'start': 11, 'end': 12, 'duration': 1, 'demands': [3, 3, 6]}, {'task': 13, 'start': 0, 'end': 1, 'duration': 1, 'demands': [3, 2, 4]}, {'task': 14, 'start': 12, 'end': 14, 'duration': 2, 'demands': [3, 7, 5]}, {'task': 15, 'start': 12, 'end': 14, 'duration': 2, 'demands': [2, 4, 3]}, {'task': 16, 'start': 14, 'end': 15, 'duration': 1, 'demands': [0, 0, 0]}]",15.0,"{'problem_type': 'RCPSP', 'nr_tasks': 17, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17'], 'resources': [0, 1, 2], 'resource_capacities': [{'resource_id': 0, 'capacity': 18}, {'resource_id': 1, 'capacity': 15}, {'resource_id': 2, 'capacity': 15}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3', 'T4']}, {'task_id': 'T2', 'duration': 2, 'demands': [6, 3, 4], 'successors': ['T5', 'T6']}, {'task_id': 'T3', 'duration': 1, 'demands': [9, 3, 2], 'successors': ['T5', 'T6', 'T7']}, {'task_id': 'T4', 'duration': 1, 'demands': [9, 2, 3], 'successors': ['T5', 'T8']}, {'task_id': 'T5', 'duration': 1, 'demands': [6, 2, 3], 'successors': ['T9', 'T10']}, {'task_id': 'T6', 'duration': 1, 'demands': [9, 3, 5], 'successors': ['T10', 'T11', 'T17']}, {'task_id': 'T7', 'duration': 2, 'demands': [2, 10, 2], 'successors': ['T11', 'T17']}, {'task_id': 'T8', 'duration': 2, 'demands': [3, 2, 3], 'successors': ['T10', 'T11', 'T3']}, {'task_id': 'T9', 'duration': 2, 'demands': [3, 3, 3], 'successors': ['T12', 'T16']}, {'task_id': 'T10', 'duration': 2, 'demands': [4, 4, 5], 'successors': ['T12']}, {'task_id': 'T11', 'duration': 1, 'demands': [2, 2, 2], 'successors': ['T12']}, {'task_id': 'T12', 'duration': 2, 'demands': [2, 5, 4], 'successors': ['T13']}, {'task_id': 'T13', 'duration': 1, 'demands': [3, 3, 6], 'successors': ['T15', 'T16']}, {'task_id': 'T14', 'duration': 1, 'demands': [3, 2, 4], 'successors': ['T16']}, {'task_id': 'T15', 'duration': 2, 'demands': [3, 7, 5], 'successors': ['T17']}, {'task_id': 'T16', 'duration': 2, 'demands': [2, 4, 3], 'successors': ['T17']}, {'task_id': 'T17', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 1, 'end': 3, 'duration': 2, 'demands': [6, 3, 4]}, {'task': 'T3', 'start': 4, 'end': 5, 'duration': 1, 'demands': [9, 3, 2]}, {'task': 'T4', 'start': 1, 'end': 2, 'duration': 1, 'demands': [9, 2, 3]}, {'task': 'T5', 'start': 5, 'end': 6, 'duration': 1, 'demands': [6, 2, 3]}, {'task': 'T6', 'start': 5, 'end': 6, 'duration': 1, 'demands': [9, 3, 5]}, {'task': 'T7', 'start': 5, 'end': 7, 'duration': 2, 'demands': [2, 10, 2]}, {'task': 'T8', 'start': 2, 'end': 4, 'duration': 2, 'demands': [3, 2, 3]}, {'task': 'T9', 'start': 6, 'end': 8, 'duration': 2, 'demands': [3, 3, 3]}, {'task': 'T10', 'start': 7, 'end': 9, 'duration': 2, 'demands': [4, 4, 5]}, {'task': 'T11', 'start': 7, 'end': 8, 'duration': 1, 'demands': [2, 2, 2]}, {'task': 'T12', 'start': 9, 'end': 11, 'duration': 2, 'demands': [2, 5, 4]}, {'task': 'T13', 'start': 11, 'end': 12, 'duration': 1, 'demands': [3, 3, 6]}, {'task': 'T14', 'start': 0, 'end': 1, 'duration': 1, 'demands': [3, 2, 4]}, {'task': 'T15', 'start': 12, 'end': 14, 'duration': 2, 'demands': [3, 7, 5]}, {'task': 'T16', 'start': 12, 'end': 14, 'duration': 2, 'demands': [2, 4, 3]}, {'task': 'T17', 'start': 14, 'end': 15, 'duration': 1, 'demands': [0, 0, 0]}]",19,csv,0
RCPSP,RCPSP,"We’re the caterers for a large reception and have to map out when every cooking and plating task happens; each task has a fixed duration and needs certain kitchen gear and people. The plan needs to respect the natural order (some tasks can’t start until others are done), include every required task exactly once, and keep total equipment and staff use within what’s on hand. The way to tell if the plan is better is simple: look at the time the final dish is ready — that time should be as small as possible. Full, concrete task and resource details follow below.
We'll schedule 19 cooking and plating steps across 3 resource types with available quantities .
| resource_id | capacity |
|---|---|
| 1 | 12 |
| 2 | 13 |
| 3 | 11 |
| step_id | step_duration_minutes | resource_demand_vector | dependent_steps |
|---|---|---|---|
| T1 | 1 | 0, 0, 0 | T2, T3, T4 |
| T2 | 3 | 2, 5, 1 | T5, T7 |
| T3 | 1 | 10, 4, 2 | T6, T8 |
| T4 | 1 | 3, 2, 1 | T6, T7 |
| T5 | 3 | 3, 1, 7 | T10 |
| T6 | 6 | 9, 6, 4 | T9, T10 |
| T7 | 6 | 5, 7, 3 | T9 |
| T8 | 4 | 2, 3, 3 | T9, T10 |
| T9 | 1 | 2, 2, 5 | T11 |
| T10 | 3 | 3, 2, 2 | T11, T12 |
| T11 | 3 | 1, 5, 8 | T14 |
| T12 | 11 | 8, 8, 7 | T13 |
| T13 | 1 | 6, 1, 2 | none |
| T14 | 7 | 7, 3, 5 | T16 |
| T15 | 2 | 2, 2, 2 | T17 |
| T16 | 9 | 2, 2, 1 | T17, T18, T12 |
| T17 | 7 | 0, 1, 6 | T19 |
| T18 | 8 | 3, 3, 3 | T19 |
| T19 | 1 | 0, 0, 0 | none |
We'll respect the listed and precedence constraints and aim to have the final dish ready as soon as possible.
Also, when you hand me the actual schedule, please put it in this simple JSON shape so it's easy for everyone (and any tools) to read:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
Think of that as a little form: ""solution"" is the list of all the tasks; each entry says which task it is and the time it starts and finishes (so you can see who's cooking what when). It's just a sketch of the shape I need here, not the real answer itself.
Please also make sure to use the exact task identifiers from the instance — don't rename them and don't invent new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'nr_tasks': 19, 'nr_resources': 3, 'capacities': [12, 13, 11], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2, 3]}, {'duration': 3, 'demands': [2, 5, 1], 'successors': [4, 6]}, {'duration': 1, 'demands': [10, 4, 2], 'successors': [5, 7]}, {'duration': 1, 'demands': [3, 2, 1], 'successors': [5, 6]}, {'duration': 3, 'demands': [3, 1, 7], 'successors': [9]}, {'duration': 6, 'demands': [9, 6, 4], 'successors': [8, 9]}, {'duration': 6, 'demands': [5, 7, 3], 'successors': [8]}, {'duration': 4, 'demands': [2, 3, 3], 'successors': [8, 9]}, {'duration': 1, 'demands': [2, 2, 5], 'successors': [10]}, {'duration': 3, 'demands': [3, 2, 2], 'successors': [10, 11]}, {'duration': 3, 'demands': [1, 5, 8], 'successors': [13]}, {'duration': 11, 'demands': [8, 8, 7], 'successors': [12]}, {'duration': 1, 'demands': [6, 1, 2], 'successors': []}, {'duration': 7, 'demands': [7, 3, 5], 'successors': [15]}, {'duration': 2, 'demands': [2, 2, 2], 'successors': [16]}, {'duration': 9, 'demands': [2, 2, 1], 'successors': [16, 17, 11]}, {'duration': 7, 'demands': [0, 1, 6], 'successors': [18]}, {'duration': 8, 'demands': [3, 3, 3], 'successors': [18]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 1, 'end': 4, 'duration': 3, 'demands': [2, 5, 1]}, {'task': 2, 'start': 2, 'end': 3, 'duration': 1, 'demands': [10, 4, 2]}, {'task': 3, 'start': 1, 'end': 2, 'duration': 1, 'demands': [3, 2, 1]}, {'task': 4, 'start': 8, 'end': 11, 'duration': 3, 'demands': [3, 1, 7]}, {'task': 5, 'start': 3, 'end': 9, 'duration': 6, 'demands': [9, 6, 4]}, {'task': 6, 'start': 9, 'end': 15, 'duration': 6, 'demands': [5, 7, 3]}, {'task': 7, 'start': 4, 'end': 8, 'duration': 4, 'demands': [2, 3, 3]}, {'task': 8, 'start': 15, 'end': 16, 'duration': 1, 'demands': [2, 2, 5]}, {'task': 9, 'start': 11, 'end': 14, 'duration': 3, 'demands': [3, 2, 2]}, {'task': 10, 'start': 16, 'end': 19, 'duration': 3, 'demands': [1, 5, 8]}, {'task': 11, 'start': 35, 'end': 46, 'duration': 11, 'demands': [8, 8, 7]}, {'task': 12, 'start': 46, 'end': 47, 'duration': 1, 'demands': [6, 1, 2]}, {'task': 13, 'start': 19, 'end': 26, 'duration': 7, 'demands': [7, 3, 5]}, {'task': 14, 'start': 0, 'end': 2, 'duration': 2, 'demands': [2, 2, 2]}, {'task': 15, 'start': 26, 'end': 35, 'duration': 9, 'demands': [2, 2, 1]}, {'task': 16, 'start': 46, 'end': 53, 'duration': 7, 'demands': [0, 1, 6]}, {'task': 17, 'start': 35, 'end': 43, 'duration': 8, 'demands': [3, 3, 3]}, {'task': 18, 'start': 53, 'end': 54, 'duration': 1, 'demands': [0, 0, 0]}]",54.0,"{'problem_type': 'RCPSP', 'nr_tasks': 19, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18', 'T19'], 'resources': [1, 2, 3], 'resource_capacities': [{'resource_id': 1, 'capacity': 12}, {'resource_id': 2, 'capacity': 13}, {'resource_id': 3, 'capacity': 11}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3', 'T4']}, {'task_id': 'T2', 'duration': 3, 'demands': [2, 5, 1], 'successors': ['T5', 'T7']}, {'task_id': 'T3', 'duration': 1, 'demands': [10, 4, 2], 'successors': ['T6', 'T8']}, {'task_id': 'T4', 'duration': 1, 'demands': [3, 2, 1], 'successors': ['T6', 'T7']}, {'task_id': 'T5', 'duration': 3, 'demands': [3, 1, 7], 'successors': ['T10']}, {'task_id': 'T6', 'duration': 6, 'demands': [9, 6, 4], 'successors': ['T9', 'T10']}, {'task_id': 'T7', 'duration': 6, 'demands': [5, 7, 3], 'successors': ['T9']}, {'task_id': 'T8', 'duration': 4, 'demands': [2, 3, 3], 'successors': ['T9', 'T10']}, {'task_id': 'T9', 'duration': 1, 'demands': [2, 2, 5], 'successors': ['T11']}, {'task_id': 'T10', 'duration': 3, 'demands': [3, 2, 2], 'successors': ['T11', 'T12']}, {'task_id': 'T11', 'duration': 3, 'demands': [1, 5, 8], 'successors': ['T14']}, {'task_id': 'T12', 'duration': 11, 'demands': [8, 8, 7], 'successors': ['T13']}, {'task_id': 'T13', 'duration': 1, 'demands': [6, 1, 2], 'successors': []}, {'task_id': 'T14', 'duration': 7, 'demands': [7, 3, 5], 'successors': ['T16']}, {'task_id': 'T15', 'duration': 2, 'demands': [2, 2, 2], 'successors': ['T17']}, {'task_id': 'T16', 'duration': 9, 'demands': [2, 2, 1], 'successors': ['T17', 'T18', 'T12']}, {'task_id': 'T17', 'duration': 7, 'demands': [0, 1, 6], 'successors': ['T19']}, {'task_id': 'T18', 'duration': 8, 'demands': [3, 3, 3], 'successors': ['T19']}, {'task_id': 'T19', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 1, 'end': 4, 'duration': 3, 'demands': [2, 5, 1]}, {'task': 'T3', 'start': 2, 'end': 3, 'duration': 1, 'demands': [10, 4, 2]}, {'task': 'T4', 'start': 1, 'end': 2, 'duration': 1, 'demands': [3, 2, 1]}, {'task': 'T5', 'start': 8, 'end': 11, 'duration': 3, 'demands': [3, 1, 7]}, {'task': 'T6', 'start': 3, 'end': 9, 'duration': 6, 'demands': [9, 6, 4]}, {'task': 'T7', 'start': 9, 'end': 15, 'duration': 6, 'demands': [5, 7, 3]}, {'task': 'T8', 'start': 4, 'end': 8, 'duration': 4, 'demands': [2, 3, 3]}, {'task': 'T9', 'start': 15, 'end': 16, 'duration': 1, 'demands': [2, 2, 5]}, {'task': 'T10', 'start': 11, 'end': 14, 'duration': 3, 'demands': [3, 2, 2]}, {'task': 'T11', 'start': 16, 'end': 19, 'duration': 3, 'demands': [1, 5, 8]}, {'task': 'T12', 'start': 35, 'end': 46, 'duration': 11, 'demands': [8, 8, 7]}, {'task': 'T13', 'start': 46, 'end': 47, 'duration': 1, 'demands': [6, 1, 2]}, {'task': 'T14', 'start': 19, 'end': 26, 'duration': 7, 'demands': [7, 3, 5]}, {'task': 'T15', 'start': 0, 'end': 2, 'duration': 2, 'demands': [2, 2, 2]}, {'task': 'T16', 'start': 26, 'end': 35, 'duration': 9, 'demands': [2, 2, 1]}, {'task': 'T17', 'start': 46, 'end': 53, 'duration': 7, 'demands': [0, 1, 6]}, {'task': 'T18', 'start': 35, 'end': 43, 'duration': 8, 'demands': [3, 3, 3]}, {'task': 'T19', 'start': 53, 'end': 54, 'duration': 1, 'demands': [0, 0, 0]}]",20,markdown_table,1
RCPSP,RCPSP,"We’ve got a day full of moves to coordinate: a roster of loading tasks and hauls, each with a set duration, and a few that have to wait for earlier tasks to be completed. The choice is about the start time for each task so no more trucks or crews are used at the same moment than are available, nothing is skipped or duplicated, and every dependency is respected. A better plan is simply the one that gets the final unload done earliest — measure success by the moment the last task ends. The exact tasks, durations, and resource numbers appear below.
{
""total_jobs"": 18,
""resource_types_count"": 3,
""resources"": [
""A"",
""B"",
""C""
],
""resource_capacities"": [
{
""resource_id"": ""A"",
""capacity"": 13
},
{
""resource_id"": ""B"",
""capacity"": 20
},
{
""resource_id"": ""C"",
""capacity"": 18
}
],
""tasks"": [
{
""job_id"": ""T1"",
""job_duration"": 1,
""resource_demands"": [
0,
0,
0
],
""successor_job_ids"": [
""T2"",
""T3"",
""T4""
]
},
{
""job_id"": ""T2"",
""job_duration"": 9,
""resource_demands"": [
3,
6,
1
],
""successor_job_ids"": [
""T5"",
""T8""
]
},
{
""job_id"": ""T3"",
""job_duration"": 10,
""resource_demands"": [
10,
3,
2
],
""successor_job_ids"": [
""T5"",
""T8""
]
},
{
""job_id"": ""T4"",
""job_duration"": 4,
""resource_demands"": [
6,
3,
2
],
""successor_job_ids"": [
""T6"",
""T7"",
""T8""
]
},
{
""job_id"": ""T5"",
""job_duration"": 6,
""resource_demands"": [
3,
1,
2
],
""successor_job_ids"": [
""T9""
]
},
{
""job_id"": ""T6"",
""job_duration"": 1,
""resource_demands"": [
7,
7,
8
],
""successor_job_ids"": [
""T10""
]
},
{
""job_id"": ""T7"",
""job_duration"": 6,
""resource_demands"": [
3,
6,
4
],
""successor_job_ids"": [
""T9"",
""T10""
]
},
{
""job_id"": ""T8"",
""job_duration"": 2,
""resource_demands"": [
2,
5,
6
],
""successor_job_ids"": [
""T9"",
""T10""
]
},
{
""job_id"": ""T9"",
""job_duration"": 6,
""resource_demands"": [
2,
3,
3
],
""successor_job_ids"": [
""T11""
]
},
{
""job_id"": ""T10"",
""job_duration"": 4,
""resource_demands"": [
2,
2,
3
],
""successor_job_ids"": [
""T11""
]
},
{
""job_id"": ""T11"",
""job_duration"": 3,
""resource_demands"": [
2,
4,
5
],
""successor_job_ids"": [
""T14""
]
},
{
""job_id"": ""T12"",
""job_duration"": 3,
""resource_demands"": [
1,
5,
6
],
""successor_job_ids"": [
""T13""
]
},
{
""job_id"": ""T13"",
""job_duration"": 3,
""resource_demands"": [
4,
7,
4
],
""successor_job_ids"": [
""T16""
]
},
{
""job_id"": ""T14"",
""job_duration"": 6,
""resource_demands"": [
7,
5,
3
],
""successor_job_ids"": [
""T15"",
""T17""
]
},
{
""job_id"": ""T15"",
""job_duration"": 4,
""resource_demands"": [
1,
9,
2
],
""successor_job_ids"": [
""T18""
]
},
{
""job_id"": ""T16"",
""job_duration"": 10,
""resource_demands"": [
2,
2,
2
],
""successor_job_ids"": [
""T18""
]
},
{
""job_id"": ""T17"",
""job_duration"": 5,
""resource_demands"": [
1,
0,
6
],
""successor_job_ids"": [
""T18""
]
},
{
""job_id"": ""T18"",
""job_duration"": 2,
""resource_demands"": [
0,
2,
4
],
""successor_job_ids"": []
}
]
}
To turn that plan into a machine-friendly reply, just drop your schedule into this simple JSON shape — nothing fancy, just a list of tasks with start and end times. Example sketch:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
Think of each object in ""solution"" as one row on a packing slip: ""task"" is the task identifier, ""start"" is when it begins, and ""end"" is when it finishes. Keep it casual — it's just a quick way for me to read your plan.
This JSON block is only a template showing the expected shape, not the actual schedule. Please use the exact identifiers from the instance input — do not rename tasks and do not invent new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'nr_tasks': 18, 'nr_resources': 3, 'capacities': [13, 20, 18], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2, 3]}, {'duration': 9, 'demands': [3, 6, 1], 'successors': [4, 7]}, {'duration': 10, 'demands': [10, 3, 2], 'successors': [4, 7]}, {'duration': 4, 'demands': [6, 3, 2], 'successors': [5, 6, 7]}, {'duration': 6, 'demands': [3, 1, 2], 'successors': [8]}, {'duration': 1, 'demands': [7, 7, 8], 'successors': [9]}, {'duration': 6, 'demands': [3, 6, 4], 'successors': [8, 9]}, {'duration': 2, 'demands': [2, 5, 6], 'successors': [8, 9]}, {'duration': 6, 'demands': [2, 3, 3], 'successors': [10]}, {'duration': 4, 'demands': [2, 2, 3], 'successors': [10]}, {'duration': 3, 'demands': [2, 4, 5], 'successors': [13]}, {'duration': 3, 'demands': [1, 5, 6], 'successors': [12]}, {'duration': 3, 'demands': [4, 7, 4], 'successors': [15]}, {'duration': 6, 'demands': [7, 5, 3], 'successors': [14, 16]}, {'duration': 4, 'demands': [1, 9, 2], 'successors': [17]}, {'duration': 10, 'demands': [2, 2, 2], 'successors': [17]}, {'duration': 5, 'demands': [1, 0, 6], 'successors': [17]}, {'duration': 2, 'demands': [0, 2, 4], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 3, 'end': 12, 'duration': 9, 'demands': [3, 6, 1]}, {'task': 2, 'start': 1, 'end': 11, 'duration': 10, 'demands': [10, 3, 2]}, {'task': 3, 'start': 11, 'end': 15, 'duration': 4, 'demands': [6, 3, 2]}, {'task': 4, 'start': 12, 'end': 18, 'duration': 6, 'demands': [3, 1, 2]}, {'task': 5, 'start': 18, 'end': 19, 'duration': 1, 'demands': [7, 7, 8]}, {'task': 6, 'start': 15, 'end': 21, 'duration': 6, 'demands': [3, 6, 4]}, {'task': 7, 'start': 15, 'end': 17, 'duration': 2, 'demands': [2, 5, 6]}, {'task': 8, 'start': 21, 'end': 27, 'duration': 6, 'demands': [2, 3, 3]}, {'task': 9, 'start': 21, 'end': 25, 'duration': 4, 'demands': [2, 2, 3]}, {'task': 10, 'start': 27, 'end': 30, 'duration': 3, 'demands': [2, 4, 5]}, {'task': 11, 'start': 0, 'end': 3, 'duration': 3, 'demands': [1, 5, 6]}, {'task': 12, 'start': 11, 'end': 14, 'duration': 3, 'demands': [4, 7, 4]}, {'task': 13, 'start': 30, 'end': 36, 'duration': 6, 'demands': [7, 5, 3]}, {'task': 14, 'start': 36, 'end': 40, 'duration': 4, 'demands': [1, 9, 2]}, {'task': 15, 'start': 14, 'end': 24, 'duration': 10, 'demands': [2, 2, 2]}, {'task': 16, 'start': 36, 'end': 41, 'duration': 5, 'demands': [1, 0, 6]}, {'task': 17, 'start': 41, 'end': 43, 'duration': 2, 'demands': [0, 2, 4]}]",43.0,"{'problem_type': 'RCPSP', 'nr_tasks': 18, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18'], 'resources': ['A', 'B', 'C'], 'resource_capacities': [{'resource_id': 'A', 'capacity': 13}, {'resource_id': 'B', 'capacity': 20}, {'resource_id': 'C', 'capacity': 18}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3', 'T4']}, {'task_id': 'T2', 'duration': 9, 'demands': [3, 6, 1], 'successors': ['T5', 'T8']}, {'task_id': 'T3', 'duration': 10, 'demands': [10, 3, 2], 'successors': ['T5', 'T8']}, {'task_id': 'T4', 'duration': 4, 'demands': [6, 3, 2], 'successors': ['T6', 'T7', 'T8']}, {'task_id': 'T5', 'duration': 6, 'demands': [3, 1, 2], 'successors': ['T9']}, {'task_id': 'T6', 'duration': 1, 'demands': [7, 7, 8], 'successors': ['T10']}, {'task_id': 'T7', 'duration': 6, 'demands': [3, 6, 4], 'successors': ['T9', 'T10']}, {'task_id': 'T8', 'duration': 2, 'demands': [2, 5, 6], 'successors': ['T9', 'T10']}, {'task_id': 'T9', 'duration': 6, 'demands': [2, 3, 3], 'successors': ['T11']}, {'task_id': 'T10', 'duration': 4, 'demands': [2, 2, 3], 'successors': ['T11']}, {'task_id': 'T11', 'duration': 3, 'demands': [2, 4, 5], 'successors': ['T14']}, {'task_id': 'T12', 'duration': 3, 'demands': [1, 5, 6], 'successors': ['T13']}, {'task_id': 'T13', 'duration': 3, 'demands': [4, 7, 4], 'successors': ['T16']}, {'task_id': 'T14', 'duration': 6, 'demands': [7, 5, 3], 'successors': ['T15', 'T17']}, {'task_id': 'T15', 'duration': 4, 'demands': [1, 9, 2], 'successors': ['T18']}, {'task_id': 'T16', 'duration': 10, 'demands': [2, 2, 2], 'successors': ['T18']}, {'task_id': 'T17', 'duration': 5, 'demands': [1, 0, 6], 'successors': ['T18']}, {'task_id': 'T18', 'duration': 2, 'demands': [0, 2, 4], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 3, 'end': 12, 'duration': 9, 'demands': [3, 6, 1]}, {'task': 'T3', 'start': 1, 'end': 11, 'duration': 10, 'demands': [10, 3, 2]}, {'task': 'T4', 'start': 11, 'end': 15, 'duration': 4, 'demands': [6, 3, 2]}, {'task': 'T5', 'start': 12, 'end': 18, 'duration': 6, 'demands': [3, 1, 2]}, {'task': 'T6', 'start': 18, 'end': 19, 'duration': 1, 'demands': [7, 7, 8]}, {'task': 'T7', 'start': 15, 'end': 21, 'duration': 6, 'demands': [3, 6, 4]}, {'task': 'T8', 'start': 15, 'end': 17, 'duration': 2, 'demands': [2, 5, 6]}, {'task': 'T9', 'start': 21, 'end': 27, 'duration': 6, 'demands': [2, 3, 3]}, {'task': 'T10', 'start': 21, 'end': 25, 'duration': 4, 'demands': [2, 2, 3]}, {'task': 'T11', 'start': 27, 'end': 30, 'duration': 3, 'demands': [2, 4, 5]}, {'task': 'T12', 'start': 0, 'end': 3, 'duration': 3, 'demands': [1, 5, 6]}, {'task': 'T13', 'start': 11, 'end': 14, 'duration': 3, 'demands': [4, 7, 4]}, {'task': 'T14', 'start': 30, 'end': 36, 'duration': 6, 'demands': [7, 5, 3]}, {'task': 'T15', 'start': 36, 'end': 40, 'duration': 4, 'demands': [1, 9, 2]}, {'task': 'T16', 'start': 14, 'end': 24, 'duration': 10, 'demands': [2, 2, 2]}, {'task': 'T17', 'start': 36, 'end': 41, 'duration': 5, 'demands': [1, 0, 6]}, {'task': 'T18', 'start': 41, 'end': 43, 'duration': 2, 'demands': [0, 2, 4]}]",21,json,names
RCPSP,RCPSP,"Recently the editorial floor has been a tangle of overlapping jobs: fixed-length editing and layout tasks that each pull on limited proofreaders or a layout station, with clear “do this after that” relationships. The challenge is to assign start times to all tasks so nothing’s missed or repeated, resource usage never exceeds the team or equipment on hand at any time, and the whole project wraps up quickly — the speed is judged by the finish time of the last task on the schedule. The detailed instance is shown below.
# total_editorial_tasks=17
# resource_types_count=3
# resources=0, 1, 2
resource_id,capacity
0,15
1,14
2,12
task_identifier,task_duration,resource_demands,successor_task_ids
T1,1,""2, 7, 2"",""T5, T6, T7""
T2,7,""5, 6, 2"",""T4, T5, T9""
T3,13,""10, 1, 2"",""T4, T5""
T4,11,""2, 1, 7"",""T10, T11, T13""
T5,3,""4, 8, 5"",""T8, T9""
T6,5,""3, 8, 1"",""T8, T9""
T7,2,""4, 6, 7"",""T9, T10""
T8,8,""2, 4, 2"",""T12""
T9,1,""5, 4, 2"",""none""
T10,1,""2, 3, 2"",""T12""
T11,6,""5, 2, 2"",""T12, T17""
T12,3,""1, 4, 6"",""none""
T13,7,""1, 4, 12"",""T15, T1""
T14,9,""2, 9, 2"",""T16""
T15,2,""5, 3, 2"",""T17, T11""
T16,7,""0, 1, 2"",""T1""
T17,4,""3, 2, 1"",""none""
Also, when you send back the schedule, please keep it in a simple JSON shape like this — just so whoever's reading it can pick out each task and its times quickly:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
This is just a small sketch of the shape I expect: ""solution"" is a list of entries, each entry is one task with its identifier under ""task"" and the chosen start and end times under ""start"" and ""end"". Think of it like filling out a little form for each job — which one it is, when it begins, and when it finishes. The JSON here is only the format example, not the actual schedule.
Please use the exact identifiers from the instance input — don't rename them or invent new labels. Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'nr_tasks': 17, 'nr_resources': 3, 'capacities': [15, 14, 12], 'tasks': [{'duration': 1, 'demands': [2, 7, 2], 'successors': [4, 5, 6]}, {'duration': 7, 'demands': [5, 6, 2], 'successors': [3, 4, 8]}, {'duration': 13, 'demands': [10, 1, 2], 'successors': [3, 4]}, {'duration': 11, 'demands': [2, 1, 7], 'successors': [9, 10, 12]}, {'duration': 3, 'demands': [4, 8, 5], 'successors': [7, 8]}, {'duration': 5, 'demands': [3, 8, 1], 'successors': [7, 8]}, {'duration': 2, 'demands': [4, 6, 7], 'successors': [8, 9]}, {'duration': 8, 'demands': [2, 4, 2], 'successors': [11]}, {'duration': 1, 'demands': [5, 4, 2], 'successors': []}, {'duration': 1, 'demands': [2, 3, 2], 'successors': [11]}, {'duration': 6, 'demands': [5, 2, 2], 'successors': [11, 16]}, {'duration': 3, 'demands': [1, 4, 6], 'successors': []}, {'duration': 7, 'demands': [1, 4, 12], 'successors': [14, 0]}, {'duration': 9, 'demands': [2, 9, 2], 'successors': [15]}, {'duration': 2, 'demands': [5, 3, 2], 'successors': [16, 10]}, {'duration': 7, 'demands': [0, 1, 2], 'successors': [0]}, {'duration': 4, 'demands': [3, 2, 1], 'successors': []}]}","[{'task': 0, 'start': 31, 'end': 32, 'duration': 1, 'demands': [2, 7, 2]}, {'task': 1, 'start': 0, 'end': 7, 'duration': 7, 'demands': [5, 6, 2]}, {'task': 2, 'start': 0, 'end': 13, 'duration': 13, 'demands': [10, 1, 2]}, {'task': 3, 'start': 13, 'end': 24, 'duration': 11, 'demands': [2, 1, 7]}, {'task': 4, 'start': 37, 'end': 40, 'duration': 3, 'demands': [4, 8, 5]}, {'task': 5, 'start': 32, 'end': 37, 'duration': 5, 'demands': [3, 8, 1]}, {'task': 6, 'start': 39, 'end': 41, 'duration': 2, 'demands': [4, 6, 7]}, {'task': 7, 'start': 40, 'end': 48, 'duration': 8, 'demands': [2, 4, 2]}, {'task': 8, 'start': 41, 'end': 42, 'duration': 1, 'demands': [5, 4, 2]}, {'task': 9, 'start': 41, 'end': 42, 'duration': 1, 'demands': [2, 3, 2]}, {'task': 10, 'start': 33, 'end': 39, 'duration': 6, 'demands': [5, 2, 2]}, {'task': 11, 'start': 48, 'end': 51, 'duration': 3, 'demands': [1, 4, 6]}, {'task': 12, 'start': 24, 'end': 31, 'duration': 7, 'demands': [1, 4, 12]}, {'task': 13, 'start': 7, 'end': 16, 'duration': 9, 'demands': [2, 9, 2]}, {'task': 14, 'start': 31, 'end': 33, 'duration': 2, 'demands': [5, 3, 2]}, {'task': 15, 'start': 16, 'end': 23, 'duration': 7, 'demands': [0, 1, 2]}, {'task': 16, 'start': 40, 'end': 44, 'duration': 4, 'demands': [3, 2, 1]}]",51.0,"{'problem_type': 'RCPSP', 'nr_tasks': 17, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17'], 'resources': [0, 1, 2], 'resource_capacities': [{'resource_id': 0, 'capacity': 15}, {'resource_id': 1, 'capacity': 14}, {'resource_id': 2, 'capacity': 12}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [2, 7, 2], 'successors': ['T5', 'T6', 'T7']}, {'task_id': 'T2', 'duration': 7, 'demands': [5, 6, 2], 'successors': ['T4', 'T5', 'T9']}, {'task_id': 'T3', 'duration': 13, 'demands': [10, 1, 2], 'successors': ['T4', 'T5']}, {'task_id': 'T4', 'duration': 11, 'demands': [2, 1, 7], 'successors': ['T10', 'T11', 'T13']}, {'task_id': 'T5', 'duration': 3, 'demands': [4, 8, 5], 'successors': ['T8', 'T9']}, {'task_id': 'T6', 'duration': 5, 'demands': [3, 8, 1], 'successors': ['T8', 'T9']}, {'task_id': 'T7', 'duration': 2, 'demands': [4, 6, 7], 'successors': ['T9', 'T10']}, {'task_id': 'T8', 'duration': 8, 'demands': [2, 4, 2], 'successors': ['T12']}, {'task_id': 'T9', 'duration': 1, 'demands': [5, 4, 2], 'successors': []}, {'task_id': 'T10', 'duration': 1, 'demands': [2, 3, 2], 'successors': ['T12']}, {'task_id': 'T11', 'duration': 6, 'demands': [5, 2, 2], 'successors': ['T12', 'T17']}, {'task_id': 'T12', 'duration': 3, 'demands': [1, 4, 6], 'successors': []}, {'task_id': 'T13', 'duration': 7, 'demands': [1, 4, 12], 'successors': ['T15', 'T1']}, {'task_id': 'T14', 'duration': 9, 'demands': [2, 9, 2], 'successors': ['T16']}, {'task_id': 'T15', 'duration': 2, 'demands': [5, 3, 2], 'successors': ['T17', 'T11']}, {'task_id': 'T16', 'duration': 7, 'demands': [0, 1, 2], 'successors': ['T1']}, {'task_id': 'T17', 'duration': 4, 'demands': [3, 2, 1], 'successors': []}]}","[{'task': 'T1', 'start': 31, 'end': 32, 'duration': 1, 'demands': [2, 7, 2]}, {'task': 'T2', 'start': 0, 'end': 7, 'duration': 7, 'demands': [5, 6, 2]}, {'task': 'T3', 'start': 0, 'end': 13, 'duration': 13, 'demands': [10, 1, 2]}, {'task': 'T4', 'start': 13, 'end': 24, 'duration': 11, 'demands': [2, 1, 7]}, {'task': 'T5', 'start': 37, 'end': 40, 'duration': 3, 'demands': [4, 8, 5]}, {'task': 'T6', 'start': 32, 'end': 37, 'duration': 5, 'demands': [3, 8, 1]}, {'task': 'T7', 'start': 39, 'end': 41, 'duration': 2, 'demands': [4, 6, 7]}, {'task': 'T8', 'start': 40, 'end': 48, 'duration': 8, 'demands': [2, 4, 2]}, {'task': 'T9', 'start': 41, 'end': 42, 'duration': 1, 'demands': [5, 4, 2]}, {'task': 'T10', 'start': 41, 'end': 42, 'duration': 1, 'demands': [2, 3, 2]}, {'task': 'T11', 'start': 33, 'end': 39, 'duration': 6, 'demands': [5, 2, 2]}, {'task': 'T12', 'start': 48, 'end': 51, 'duration': 3, 'demands': [1, 4, 6]}, {'task': 'T13', 'start': 24, 'end': 31, 'duration': 7, 'demands': [1, 4, 12]}, {'task': 'T14', 'start': 7, 'end': 16, 'duration': 9, 'demands': [2, 9, 2]}, {'task': 'T15', 'start': 31, 'end': 33, 'duration': 2, 'demands': [5, 3, 2]}, {'task': 'T16', 'start': 16, 'end': 23, 'duration': 7, 'demands': [0, 1, 2]}, {'task': 'T17', 'start': 40, 'end': 44, 'duration': 4, 'demands': [3, 2, 1]}]",22,csv,0
RCPSP,RCPSP,"I’m trying to pull together a tight schedule for all the fittings: each alteration takes a set time, uses up some of the scarce sewing machines and stylists while it’s happening, and a few sessions depend on earlier adjustments. The choice is about when to start each job so the studio never uses more machines or hands than it has, nothing is skipped or repeated, and the whole lineup is finished sooner rather than later — which you measure by the time the last job finishes. The exact list of fittings, their durations and resource needs is given below.
Here are 16 fittings with their details: there are 3 resource types and the studio capacities are .
| resource_id | capacity |
|---|---|
| 1 | 10 |
| 2 | 13 |
| 3 | 11 |
| fitting_id | fitting_duration | resource_demands | dependent_fittings |
|---|---|---|---|
| T1 | 1 | 6, 2, 1 | T3, T4, T11 |
| T2 | 9 | 7, 2, 3 | T6, T7, T3 |
| T3 | 3 | 10, 4, 5 | T6 |
| T4 | 2 | 2, 6, 4 | T7, T8 |
| T5 | 2 | 1, 5, 5 | T6, T8, T1 |
| T6 | 3 | 5, 3, 1 | T9, T10, T16 |
| T7 | 2 | 2, 2, 6 | none |
| T8 | 4 | 7, 1, 3 | none |
| T9 | 3 | 2, 6, 7 | none |
| T10 | 1 | 6, 8, 3 | T12, T13 |
| T11 | 1 | 5, 9, 7 | T15, T9 |
| T12 | 4 | 3, 2, 5 | T14 |
| T13 | 2 | 6, 5, 5 | T14 |
| T14 | 2 | 2, 10, 3 | T16, T15 |
| T15 | 8 | 3, 3, 2 | T16 |
| T16 | 3 | 0, 1, 3 | T4 |
I'm keeping within the limits and aiming to finish all 16 fittings as early as possible.
I'll drop the final schedule back in a simple JSON layout so it's easy to paste into whatever you're using — something like this:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
This just sketches the shape I’ll use: ""solution"" is an array of the scheduled fittings, and each item gives the task identifier plus its numeric start and end times. Think of each object as a little form for one fitting: which job it is, when it starts, and when it finishes. That JSON is just the expected shape — I’ll fill in the actual task IDs and numbers for the real schedule.
Please make sure to use the exact task identifiers from the instance input — don’t rename them or invent new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'nr_tasks': 16, 'nr_resources': 3, 'capacities': [10, 13, 11], 'tasks': [{'duration': 1, 'demands': [6, 2, 1], 'successors': [2, 3, 10]}, {'duration': 9, 'demands': [7, 2, 3], 'successors': [5, 6, 2]}, {'duration': 3, 'demands': [10, 4, 5], 'successors': [5]}, {'duration': 2, 'demands': [2, 6, 4], 'successors': [6, 7]}, {'duration': 2, 'demands': [1, 5, 5], 'successors': [5, 7, 0]}, {'duration': 3, 'demands': [5, 3, 1], 'successors': [8, 9, 15]}, {'duration': 2, 'demands': [2, 2, 6], 'successors': []}, {'duration': 4, 'demands': [7, 1, 3], 'successors': []}, {'duration': 3, 'demands': [2, 6, 7], 'successors': []}, {'duration': 1, 'demands': [6, 8, 3], 'successors': [11, 12]}, {'duration': 1, 'demands': [5, 9, 7], 'successors': [14, 8]}, {'duration': 4, 'demands': [3, 2, 5], 'successors': [13]}, {'duration': 2, 'demands': [6, 5, 5], 'successors': [13]}, {'duration': 2, 'demands': [2, 10, 3], 'successors': [15, 14]}, {'duration': 8, 'demands': [3, 3, 2], 'successors': [15]}, {'duration': 3, 'demands': [0, 1, 3], 'successors': [3]}]}","[{'task': 0, 'start': 9, 'end': 10, 'duration': 1, 'demands': [6, 2, 1]}, {'task': 1, 'start': 0, 'end': 9, 'duration': 9, 'demands': [7, 2, 3]}, {'task': 2, 'start': 10, 'end': 13, 'duration': 3, 'demands': [10, 4, 5]}, {'task': 3, 'start': 34, 'end': 36, 'duration': 2, 'demands': [2, 6, 4]}, {'task': 4, 'start': 0, 'end': 2, 'duration': 2, 'demands': [1, 5, 5]}, {'task': 5, 'start': 13, 'end': 16, 'duration': 3, 'demands': [5, 3, 1]}, {'task': 6, 'start': 36, 'end': 38, 'duration': 2, 'demands': [2, 2, 6]}, {'task': 7, 'start': 36, 'end': 40, 'duration': 4, 'demands': [7, 1, 3]}, {'task': 8, 'start': 23, 'end': 26, 'duration': 3, 'demands': [2, 6, 7]}, {'task': 9, 'start': 16, 'end': 17, 'duration': 1, 'demands': [6, 8, 3]}, {'task': 10, 'start': 13, 'end': 14, 'duration': 1, 'demands': [5, 9, 7]}, {'task': 11, 'start': 17, 'end': 21, 'duration': 4, 'demands': [3, 2, 5]}, {'task': 12, 'start': 17, 'end': 19, 'duration': 2, 'demands': [6, 5, 5]}, {'task': 13, 'start': 21, 'end': 23, 'duration': 2, 'demands': [2, 10, 3]}, {'task': 14, 'start': 23, 'end': 31, 'duration': 8, 'demands': [3, 3, 2]}, {'task': 15, 'start': 31, 'end': 34, 'duration': 3, 'demands': [0, 1, 3]}]",40.0,"{'problem_type': 'RCPSP', 'nr_tasks': 16, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16'], 'resources': [1, 2, 3], 'resource_capacities': [{'resource_id': 1, 'capacity': 10}, {'resource_id': 2, 'capacity': 13}, {'resource_id': 3, 'capacity': 11}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [6, 2, 1], 'successors': ['T3', 'T4', 'T11']}, {'task_id': 'T2', 'duration': 9, 'demands': [7, 2, 3], 'successors': ['T6', 'T7', 'T3']}, {'task_id': 'T3', 'duration': 3, 'demands': [10, 4, 5], 'successors': ['T6']}, {'task_id': 'T4', 'duration': 2, 'demands': [2, 6, 4], 'successors': ['T7', 'T8']}, {'task_id': 'T5', 'duration': 2, 'demands': [1, 5, 5], 'successors': ['T6', 'T8', 'T1']}, {'task_id': 'T6', 'duration': 3, 'demands': [5, 3, 1], 'successors': ['T9', 'T10', 'T16']}, {'task_id': 'T7', 'duration': 2, 'demands': [2, 2, 6], 'successors': []}, {'task_id': 'T8', 'duration': 4, 'demands': [7, 1, 3], 'successors': []}, {'task_id': 'T9', 'duration': 3, 'demands': [2, 6, 7], 'successors': []}, {'task_id': 'T10', 'duration': 1, 'demands': [6, 8, 3], 'successors': ['T12', 'T13']}, {'task_id': 'T11', 'duration': 1, 'demands': [5, 9, 7], 'successors': ['T15', 'T9']}, {'task_id': 'T12', 'duration': 4, 'demands': [3, 2, 5], 'successors': ['T14']}, {'task_id': 'T13', 'duration': 2, 'demands': [6, 5, 5], 'successors': ['T14']}, {'task_id': 'T14', 'duration': 2, 'demands': [2, 10, 3], 'successors': ['T16', 'T15']}, {'task_id': 'T15', 'duration': 8, 'demands': [3, 3, 2], 'successors': ['T16']}, {'task_id': 'T16', 'duration': 3, 'demands': [0, 1, 3], 'successors': ['T4']}]}","[{'task': 'T1', 'start': 9, 'end': 10, 'duration': 1, 'demands': [6, 2, 1]}, {'task': 'T2', 'start': 0, 'end': 9, 'duration': 9, 'demands': [7, 2, 3]}, {'task': 'T3', 'start': 10, 'end': 13, 'duration': 3, 'demands': [10, 4, 5]}, {'task': 'T4', 'start': 34, 'end': 36, 'duration': 2, 'demands': [2, 6, 4]}, {'task': 'T5', 'start': 0, 'end': 2, 'duration': 2, 'demands': [1, 5, 5]}, {'task': 'T6', 'start': 13, 'end': 16, 'duration': 3, 'demands': [5, 3, 1]}, {'task': 'T7', 'start': 36, 'end': 38, 'duration': 2, 'demands': [2, 2, 6]}, {'task': 'T8', 'start': 36, 'end': 40, 'duration': 4, 'demands': [7, 1, 3]}, {'task': 'T9', 'start': 23, 'end': 26, 'duration': 3, 'demands': [2, 6, 7]}, {'task': 'T10', 'start': 16, 'end': 17, 'duration': 1, 'demands': [6, 8, 3]}, {'task': 'T11', 'start': 13, 'end': 14, 'duration': 1, 'demands': [5, 9, 7]}, {'task': 'T12', 'start': 17, 'end': 21, 'duration': 4, 'demands': [3, 2, 5]}, {'task': 'T13', 'start': 17, 'end': 19, 'duration': 2, 'demands': [6, 5, 5]}, {'task': 'T14', 'start': 21, 'end': 23, 'duration': 2, 'demands': [2, 10, 3]}, {'task': 'T15', 'start': 23, 'end': 31, 'duration': 8, 'demands': [3, 3, 2]}, {'task': 'T16', 'start': 31, 'end': 34, 'duration': 3, 'demands': [0, 1, 3]}]",23,markdown_table,1
RCPSP,RCPSP,"I like to imagine the studio as a busy kitchen where each TV segment is a dish that takes a fixed time to prepare. The job is to decide when each dish starts simmering so that the ovens (studios) and chefs (crews) aren’t asked to handle more than they can at once, and pieces that need to be plated after another are started only after their predecessors finish. A better plan is simply the one where the whole menu is ready earlier — that is, the clock time when the last segment prep finishes should be as small as possible. Every prep must get a single start time (no skipping, no doubling up), and at no moment can the number of studios or crew in use exceed what’s available. The concrete details about segment lengths, crew counts and studio limits are shown below.
I’ll list the 19 segment preps that follow, the 3 limited resource types, and the available capacities for them: .
Segment T1: I plan 10 time units of prep, it occupies 6, 9, 2 resources while cooking, and it must finish before these successors can start: T4, T7.
Segment T2: I plan 2 time units of prep, it occupies 9, 5, 2 resources while cooking, and it must finish before these successors can start: T4, T5, T6.
Segment T3: I plan 7 time units of prep, it occupies 8, 2, 1 resources while cooking, and it must finish before these successors can start: T5, T7.
Segment T4: I plan 3 time units of prep, it occupies 3, 2, 3 resources while cooking, and it must finish before these successors can start: T8, T9.
Segment T5: I plan 12 time units of prep, it occupies 5, 7, 6 resources while cooking, and it must finish before these successors can start: T10, T11.
Segment T6: I plan 10 time units of prep, it occupies 5, 4, 2 resources while cooking, and it must finish before these successors can start: T8, T9.
Segment T7: I plan 1 time units of prep, it occupies 1, 2, 7 resources while cooking, and it must finish before these successors can start: T9, T11.
Segment T8: I plan 4 time units of prep, it occupies 3, 4, 1 resources while cooking, and it must finish before these successors can start: T13, T14.
Segment T9: I plan 5 time units of prep, it occupies 2, 4, 5 resources while cooking, and it must finish before these successors can start: T12.
Segment T10: I plan 5 time units of prep, it occupies 5, 4, 3 resources while cooking, and it must finish before these successors can start: T13.
Segment T11: I plan 3 time units of prep, it occupies 5, 2, 6 resources while cooking, and it must finish before these successors can start: T14.
Segment T12: I plan 5 time units of prep, it occupies 1, 4, 4 resources while cooking, and it must finish before these successors can start: T16, T17.
Segment T13: I plan 3 time units of prep, it occupies 3, 4, 3 resources while cooking, and it must finish before these successors can start: none.
Segment T14: I plan 5 time units of prep, it occupies 3, 5, 7 resources while cooking, and it must finish before these successors can start: T16.
Segment T15: I plan 5 time units of prep, it occupies 6, 5, 4 resources while cooking, and it must finish before these successors can start: none.
Segment T16: I plan 1 time units of prep, it occupies 2, 3, 4 resources while cooking, and it must finish before these successors can start: none.
Segment T17: I plan 5 time units of prep, it occupies 3, 5, 10 resources while cooking, and it must finish before these successors can start: T18.
Segment T18: I plan 11 time units of prep, it occupies 2, 11, 4 resources while cooking, and it must finish before these successors can start: T19.
Segment T19: I plan 2 time units of prep, it occupies 0, 1, 3 resources while cooking, and it must finish before these successors can start: none.
I’ll use these particulars to assign a single start time to each prep so ovens and chefs aren’t overloaded and the whole menu finishes as early as possible.
If you're going to hand the plan back to me, a simple JSON shape works great — nothing fancy, just a list of which segment starts when and when it finishes. Something like this:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
Think of that as a little form: ""solution"" is the list of scheduled preps, each item names the task (the segment), the time it starts, and the time it ends. Super informal: list every segment once with its start and end times. This block is just the sketch of the shape I expect, not the actual schedule — you'll fill in the real task IDs and times.
Please use the exact identifiers from the instance input — don't rename them or invent new labels. Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'nr_tasks': 19, 'nr_resources': 3, 'capacities': [13, 12, 15], 'tasks': [{'duration': 10, 'demands': [6, 9, 2], 'successors': [3, 6]}, {'duration': 2, 'demands': [9, 5, 2], 'successors': [3, 4, 5]}, {'duration': 7, 'demands': [8, 2, 1], 'successors': [4, 6]}, {'duration': 3, 'demands': [3, 2, 3], 'successors': [7, 8]}, {'duration': 12, 'demands': [5, 7, 6], 'successors': [9, 10]}, {'duration': 10, 'demands': [5, 4, 2], 'successors': [7, 8]}, {'duration': 1, 'demands': [1, 2, 7], 'successors': [8, 10]}, {'duration': 4, 'demands': [3, 4, 1], 'successors': [12, 13]}, {'duration': 5, 'demands': [2, 4, 5], 'successors': [11]}, {'duration': 5, 'demands': [5, 4, 3], 'successors': [12]}, {'duration': 3, 'demands': [5, 2, 6], 'successors': [13]}, {'duration': 5, 'demands': [1, 4, 4], 'successors': [15, 16]}, {'duration': 3, 'demands': [3, 4, 3], 'successors': []}, {'duration': 5, 'demands': [3, 5, 7], 'successors': [15]}, {'duration': 5, 'demands': [6, 5, 4], 'successors': []}, {'duration': 1, 'demands': [2, 3, 4], 'successors': []}, {'duration': 5, 'demands': [3, 5, 10], 'successors': [17]}, {'duration': 11, 'demands': [2, 11, 4], 'successors': [18]}, {'duration': 2, 'demands': [0, 1, 3], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 10, 'duration': 10, 'demands': [6, 9, 2]}, {'task': 1, 'start': 10, 'end': 12, 'duration': 2, 'demands': [9, 5, 2]}, {'task': 2, 'start': 12, 'end': 19, 'duration': 7, 'demands': [8, 2, 1]}, {'task': 3, 'start': 12, 'end': 15, 'duration': 3, 'demands': [3, 2, 3]}, {'task': 4, 'start': 19, 'end': 31, 'duration': 12, 'demands': [5, 7, 6]}, {'task': 5, 'start': 15, 'end': 25, 'duration': 10, 'demands': [5, 4, 2]}, {'task': 6, 'start': 25, 'end': 26, 'duration': 1, 'demands': [1, 2, 7]}, {'task': 7, 'start': 34, 'end': 38, 'duration': 4, 'demands': [3, 4, 1]}, {'task': 8, 'start': 26, 'end': 31, 'duration': 5, 'demands': [2, 4, 5]}, {'task': 9, 'start': 31, 'end': 36, 'duration': 5, 'demands': [5, 4, 3]}, {'task': 10, 'start': 31, 'end': 34, 'duration': 3, 'demands': [5, 2, 6]}, {'task': 11, 'start': 31, 'end': 36, 'duration': 5, 'demands': [1, 4, 4]}, {'task': 12, 'start': 38, 'end': 41, 'duration': 3, 'demands': [3, 4, 3]}, {'task': 13, 'start': 52, 'end': 57, 'duration': 5, 'demands': [3, 5, 7]}, {'task': 14, 'start': 53, 'end': 58, 'duration': 5, 'demands': [6, 5, 4]}, {'task': 15, 'start': 57, 'end': 58, 'duration': 1, 'demands': [2, 3, 4]}, {'task': 16, 'start': 36, 'end': 41, 'duration': 5, 'demands': [3, 5, 10]}, {'task': 17, 'start': 41, 'end': 52, 'duration': 11, 'demands': [2, 11, 4]}, {'task': 18, 'start': 52, 'end': 54, 'duration': 2, 'demands': [0, 1, 3]}]",58.0,"{'problem_type': 'RCPSP', 'nr_tasks': 19, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18', 'T19'], 'resources': [1, 2, 3], 'resource_capacities': [{'resource_id': 1, 'capacity': 13}, {'resource_id': 2, 'capacity': 12}, {'resource_id': 3, 'capacity': 15}], 'task_records': [{'task_id': 'T1', 'duration': 10, 'demands': [6, 9, 2], 'successors': ['T4', 'T7']}, {'task_id': 'T2', 'duration': 2, 'demands': [9, 5, 2], 'successors': ['T4', 'T5', 'T6']}, {'task_id': 'T3', 'duration': 7, 'demands': [8, 2, 1], 'successors': ['T5', 'T7']}, {'task_id': 'T4', 'duration': 3, 'demands': [3, 2, 3], 'successors': ['T8', 'T9']}, {'task_id': 'T5', 'duration': 12, 'demands': [5, 7, 6], 'successors': ['T10', 'T11']}, {'task_id': 'T6', 'duration': 10, 'demands': [5, 4, 2], 'successors': ['T8', 'T9']}, {'task_id': 'T7', 'duration': 1, 'demands': [1, 2, 7], 'successors': ['T9', 'T11']}, {'task_id': 'T8', 'duration': 4, 'demands': [3, 4, 1], 'successors': ['T13', 'T14']}, {'task_id': 'T9', 'duration': 5, 'demands': [2, 4, 5], 'successors': ['T12']}, {'task_id': 'T10', 'duration': 5, 'demands': [5, 4, 3], 'successors': ['T13']}, {'task_id': 'T11', 'duration': 3, 'demands': [5, 2, 6], 'successors': ['T14']}, {'task_id': 'T12', 'duration': 5, 'demands': [1, 4, 4], 'successors': ['T16', 'T17']}, {'task_id': 'T13', 'duration': 3, 'demands': [3, 4, 3], 'successors': []}, {'task_id': 'T14', 'duration': 5, 'demands': [3, 5, 7], 'successors': ['T16']}, {'task_id': 'T15', 'duration': 5, 'demands': [6, 5, 4], 'successors': []}, {'task_id': 'T16', 'duration': 1, 'demands': [2, 3, 4], 'successors': []}, {'task_id': 'T17', 'duration': 5, 'demands': [3, 5, 10], 'successors': ['T18']}, {'task_id': 'T18', 'duration': 11, 'demands': [2, 11, 4], 'successors': ['T19']}, {'task_id': 'T19', 'duration': 2, 'demands': [0, 1, 3], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 10, 'duration': 10, 'demands': [6, 9, 2]}, {'task': 'T2', 'start': 10, 'end': 12, 'duration': 2, 'demands': [9, 5, 2]}, {'task': 'T3', 'start': 12, 'end': 19, 'duration': 7, 'demands': [8, 2, 1]}, {'task': 'T4', 'start': 12, 'end': 15, 'duration': 3, 'demands': [3, 2, 3]}, {'task': 'T5', 'start': 19, 'end': 31, 'duration': 12, 'demands': [5, 7, 6]}, {'task': 'T6', 'start': 15, 'end': 25, 'duration': 10, 'demands': [5, 4, 2]}, {'task': 'T7', 'start': 25, 'end': 26, 'duration': 1, 'demands': [1, 2, 7]}, {'task': 'T8', 'start': 34, 'end': 38, 'duration': 4, 'demands': [3, 4, 1]}, {'task': 'T9', 'start': 26, 'end': 31, 'duration': 5, 'demands': [2, 4, 5]}, {'task': 'T10', 'start': 31, 'end': 36, 'duration': 5, 'demands': [5, 4, 3]}, {'task': 'T11', 'start': 31, 'end': 34, 'duration': 3, 'demands': [5, 2, 6]}, {'task': 'T12', 'start': 31, 'end': 36, 'duration': 5, 'demands': [1, 4, 4]}, {'task': 'T13', 'start': 38, 'end': 41, 'duration': 3, 'demands': [3, 4, 3]}, {'task': 'T14', 'start': 52, 'end': 57, 'duration': 5, 'demands': [3, 5, 7]}, {'task': 'T15', 'start': 53, 'end': 58, 'duration': 5, 'demands': [6, 5, 4]}, {'task': 'T16', 'start': 57, 'end': 58, 'duration': 1, 'demands': [2, 3, 4]}, {'task': 'T17', 'start': 36, 'end': 41, 'duration': 5, 'demands': [3, 5, 10]}, {'task': 'T18', 'start': 41, 'end': 52, 'duration': 11, 'demands': [2, 11, 4]}, {'task': 'T19', 'start': 52, 'end': 54, 'duration': 2, 'demands': [0, 1, 3]}]",24,nl,1
RCPSP,RCPSP,"Many mornings there’s more work than benches or hands, so the shop manager has to decide when each diagnostic and repair starts: each step takes a fixed amount of time, ties up limited benches and technicians while it runs, and some fixes can’t start until earlier checks are done and parts are available. The better the plan, the sooner the last appliance is done — to judge that, look at when every job finishes and the latest of those times is the total completion time. Practical constraints are simple: don’t skip or duplicate tasks, never use more benches or technicians than exist at the same time, and always respect the needed order of tasks. The detailed list of tasks and resource limits is below.
There are 18 jobs to assign, using 3 resource types with capacities .
| resource_id | capacity |
|---|---|
| 0 | 13 |
| 1 | 8 |
| 2 | 12 |
| job_id | job_duration | resource_demands | following_jobs |
|---|---|---|---|
| T1 | 1 | 0, 0, 0 | T2, T3, T4 |
| T2 | 6 | 5, 3, 4 | T5, T6 |
| T3 | 4 | 4, 5, 6 | T5, T8 |
| T4 | 14 | 8, 3, 2 | T6, T7, T9 |
| T5 | 11 | 6, 1, 3 | T9, T10 |
| T6 | 8 | 4, 3, 2 | T11, T12 |
| T7 | 2 | 4, 7, 3 | T9, T10 |
| T8 | 3 | 4, 3, 2 | T9, T10 |
| T9 | 2 | 3, 3, 2 | T13 |
| T10 | 4 | 2, 1, 4 | none |
| T11 | 6 | 3, 4, 1 | T13 |
| T12 | 2 | 6, 2, 6 | T13, T7 |
| T13 | 2 | 2, 7, 7 | none |
| T14 | 13 | 5, 1, 2 | T16, T7 |
| T15 | 10 | 7, 4, 6 | T16 |
| T16 | 7 | 1, 5, 8 | T18 |
| T17 | 2 | 1, 8, 4 | T18 |
| T18 | 1 | 0, 0, 0 | none |
The shop manager should schedule them to minimise the time when the last job finishes while respecting resource capacities and the given precedences.
When you hand me a schedule, just follow this simple JSON shape so everything's clear and machine-friendly:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
Think of that as a little form: ""solution"" is the list of planned steps, each entry names the task and the time it starts and finishes. It's just a sketch of the shape I expect — not the actual schedule yet.
Please make sure to use the exact identifiers from the instance input — don't rename tasks or invent new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'nr_tasks': 18, 'nr_resources': 3, 'capacities': [13, 8, 12], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2, 3]}, {'duration': 6, 'demands': [5, 3, 4], 'successors': [4, 5]}, {'duration': 4, 'demands': [4, 5, 6], 'successors': [4, 7]}, {'duration': 14, 'demands': [8, 3, 2], 'successors': [5, 6, 8]}, {'duration': 11, 'demands': [6, 1, 3], 'successors': [8, 9]}, {'duration': 8, 'demands': [4, 3, 2], 'successors': [10, 11]}, {'duration': 2, 'demands': [4, 7, 3], 'successors': [8, 9]}, {'duration': 3, 'demands': [4, 3, 2], 'successors': [8, 9]}, {'duration': 2, 'demands': [3, 3, 2], 'successors': [12]}, {'duration': 4, 'demands': [2, 1, 4], 'successors': []}, {'duration': 6, 'demands': [3, 4, 1], 'successors': [12]}, {'duration': 2, 'demands': [6, 2, 6], 'successors': [12, 6]}, {'duration': 2, 'demands': [2, 7, 7], 'successors': []}, {'duration': 13, 'demands': [5, 1, 2], 'successors': [15, 6]}, {'duration': 10, 'demands': [7, 4, 6], 'successors': [15]}, {'duration': 7, 'demands': [1, 5, 8], 'successors': [17]}, {'duration': 2, 'demands': [1, 8, 4], 'successors': [17]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 15, 'end': 21, 'duration': 6, 'demands': [5, 3, 4]}, {'task': 2, 'start': 28, 'end': 32, 'duration': 4, 'demands': [4, 5, 6]}, {'task': 3, 'start': 12, 'end': 26, 'duration': 14, 'demands': [8, 3, 2]}, {'task': 4, 'start': 32, 'end': 43, 'duration': 11, 'demands': [6, 1, 3]}, {'task': 5, 'start': 26, 'end': 34, 'duration': 8, 'demands': [4, 3, 2]}, {'task': 6, 'start': 36, 'end': 38, 'duration': 2, 'demands': [4, 7, 3]}, {'task': 7, 'start': 38, 'end': 41, 'duration': 3, 'demands': [4, 3, 2]}, {'task': 8, 'start': 43, 'end': 45, 'duration': 2, 'demands': [3, 3, 2]}, {'task': 9, 'start': 43, 'end': 47, 'duration': 4, 'demands': [2, 1, 4]}, {'task': 10, 'start': 38, 'end': 44, 'duration': 6, 'demands': [3, 4, 1]}, {'task': 11, 'start': 34, 'end': 36, 'duration': 2, 'demands': [6, 2, 6]}, {'task': 12, 'start': 45, 'end': 47, 'duration': 2, 'demands': [2, 7, 7]}, {'task': 13, 'start': 2, 'end': 15, 'duration': 13, 'demands': [5, 1, 2]}, {'task': 14, 'start': 2, 'end': 12, 'duration': 10, 'demands': [7, 4, 6]}, {'task': 15, 'start': 21, 'end': 28, 'duration': 7, 'demands': [1, 5, 8]}, {'task': 16, 'start': 0, 'end': 2, 'duration': 2, 'demands': [1, 8, 4]}, {'task': 17, 'start': 30, 'end': 31, 'duration': 1, 'demands': [0, 0, 0]}]",47.0,"{'problem_type': 'RCPSP', 'nr_tasks': 18, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18'], 'resources': [0, 1, 2], 'resource_capacities': [{'resource_id': 0, 'capacity': 13}, {'resource_id': 1, 'capacity': 8}, {'resource_id': 2, 'capacity': 12}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3', 'T4']}, {'task_id': 'T2', 'duration': 6, 'demands': [5, 3, 4], 'successors': ['T5', 'T6']}, {'task_id': 'T3', 'duration': 4, 'demands': [4, 5, 6], 'successors': ['T5', 'T8']}, {'task_id': 'T4', 'duration': 14, 'demands': [8, 3, 2], 'successors': ['T6', 'T7', 'T9']}, {'task_id': 'T5', 'duration': 11, 'demands': [6, 1, 3], 'successors': ['T9', 'T10']}, {'task_id': 'T6', 'duration': 8, 'demands': [4, 3, 2], 'successors': ['T11', 'T12']}, {'task_id': 'T7', 'duration': 2, 'demands': [4, 7, 3], 'successors': ['T9', 'T10']}, {'task_id': 'T8', 'duration': 3, 'demands': [4, 3, 2], 'successors': ['T9', 'T10']}, {'task_id': 'T9', 'duration': 2, 'demands': [3, 3, 2], 'successors': ['T13']}, {'task_id': 'T10', 'duration': 4, 'demands': [2, 1, 4], 'successors': []}, {'task_id': 'T11', 'duration': 6, 'demands': [3, 4, 1], 'successors': ['T13']}, {'task_id': 'T12', 'duration': 2, 'demands': [6, 2, 6], 'successors': ['T13', 'T7']}, {'task_id': 'T13', 'duration': 2, 'demands': [2, 7, 7], 'successors': []}, {'task_id': 'T14', 'duration': 13, 'demands': [5, 1, 2], 'successors': ['T16', 'T7']}, {'task_id': 'T15', 'duration': 10, 'demands': [7, 4, 6], 'successors': ['T16']}, {'task_id': 'T16', 'duration': 7, 'demands': [1, 5, 8], 'successors': ['T18']}, {'task_id': 'T17', 'duration': 2, 'demands': [1, 8, 4], 'successors': ['T18']}, {'task_id': 'T18', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 15, 'end': 21, 'duration': 6, 'demands': [5, 3, 4]}, {'task': 'T3', 'start': 28, 'end': 32, 'duration': 4, 'demands': [4, 5, 6]}, {'task': 'T4', 'start': 12, 'end': 26, 'duration': 14, 'demands': [8, 3, 2]}, {'task': 'T5', 'start': 32, 'end': 43, 'duration': 11, 'demands': [6, 1, 3]}, {'task': 'T6', 'start': 26, 'end': 34, 'duration': 8, 'demands': [4, 3, 2]}, {'task': 'T7', 'start': 36, 'end': 38, 'duration': 2, 'demands': [4, 7, 3]}, {'task': 'T8', 'start': 38, 'end': 41, 'duration': 3, 'demands': [4, 3, 2]}, {'task': 'T9', 'start': 43, 'end': 45, 'duration': 2, 'demands': [3, 3, 2]}, {'task': 'T10', 'start': 43, 'end': 47, 'duration': 4, 'demands': [2, 1, 4]}, {'task': 'T11', 'start': 38, 'end': 44, 'duration': 6, 'demands': [3, 4, 1]}, {'task': 'T12', 'start': 34, 'end': 36, 'duration': 2, 'demands': [6, 2, 6]}, {'task': 'T13', 'start': 45, 'end': 47, 'duration': 2, 'demands': [2, 7, 7]}, {'task': 'T14', 'start': 2, 'end': 15, 'duration': 13, 'demands': [5, 1, 2]}, {'task': 'T15', 'start': 2, 'end': 12, 'duration': 10, 'demands': [7, 4, 6]}, {'task': 'T16', 'start': 21, 'end': 28, 'duration': 7, 'demands': [1, 5, 8]}, {'task': 'T17', 'start': 0, 'end': 2, 'duration': 2, 'demands': [1, 8, 4]}, {'task': 'T18', 'start': 30, 'end': 31, 'duration': 1, 'demands': [0, 0, 0]}]",25,markdown_table,0
RCPSP,RCPSP,"Recently the maintenance team faced a backlog: a list of fixed-length jobs for different aircraft, each occupying a bay and some techs while it’s on the clock, and a few jobs that must wait for inspections first. The task was to schedule start times for all jobs so nothing gets left out or duplicated, required orderings are kept, and the limited hangars and technicians aren’t over-committed at any time. The aim is to have the fleet ready again as soon as possible — judged by the time the last job finishes. The specific jobs, durations, and resource limits are shown below.
# total_number_of_jobs=20
# number_of_resource_types=3
# resources=0, 1, 2
resource_id,capacity
0,10
1,10
2,14
job_identifier,job_duration,resource_demands,immediate_successor_jobs
T1,1,""0, 0, 0"",""T2, T3, T4""
T2,4,""4, 5, 4"",""T5, T6""
T3,3,""7, 4, 2"",""T5""
T4,7,""8, 2, 2"",""T6, T7""
T5,11,""6, 1, 5"",""T9, T10""
T6,13,""8, 10, 8"",""T11, T12""
T7,4,""5, 6, 3"",""T9, T10""
T8,2,""3, 6, 7"",""T9, T10""
T9,2,""2, 3, 4"",""T13""
T10,3,""3, 2, 3"",""none""
T11,2,""2, 3, 3"",""T13""
T12,1,""8, 1, 7"",""T13, T14""
T13,2,""2, 5, 2"",""T15""
T14,1,""1, 10, 5"",""T16""
T15,2,""3, 3, 7"",""T19""
T16,8,""4, 2, 4"",""T18""
T17,10,""8, 2, 2"",""T18""
T18,4,""3, 3, 4"",""T20""
T19,3,""2, 6, 2"",""T20""
T20,1,""0, 0, 0"",""none""
When you send the schedule back, just put it in this little JSON shape so it's easy to read and load:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
Think of that like a simple form: ""solution"" is a list of all the jobs you're scheduling, and each entry names the task and the start and end times you picked for it. Super informal — it's just a sketch of the shape I need, not the real schedule.
Please make sure to use the exact identifiers from the instance input — don't rename tasks or invent new labels. Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'nr_tasks': 20, 'nr_resources': 3, 'capacities': [10, 10, 14], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2, 3]}, {'duration': 4, 'demands': [4, 5, 4], 'successors': [4, 5]}, {'duration': 3, 'demands': [7, 4, 2], 'successors': [4]}, {'duration': 7, 'demands': [8, 2, 2], 'successors': [5, 6]}, {'duration': 11, 'demands': [6, 1, 5], 'successors': [8, 9]}, {'duration': 13, 'demands': [8, 10, 8], 'successors': [10, 11]}, {'duration': 4, 'demands': [5, 6, 3], 'successors': [8, 9]}, {'duration': 2, 'demands': [3, 6, 7], 'successors': [8, 9]}, {'duration': 2, 'demands': [2, 3, 4], 'successors': [12]}, {'duration': 3, 'demands': [3, 2, 3], 'successors': []}, {'duration': 2, 'demands': [2, 3, 3], 'successors': [12]}, {'duration': 1, 'demands': [8, 1, 7], 'successors': [12, 13]}, {'duration': 2, 'demands': [2, 5, 2], 'successors': [14]}, {'duration': 1, 'demands': [1, 10, 5], 'successors': [15]}, {'duration': 2, 'demands': [3, 3, 7], 'successors': [18]}, {'duration': 8, 'demands': [4, 2, 4], 'successors': [17]}, {'duration': 10, 'demands': [8, 2, 2], 'successors': [17]}, {'duration': 4, 'demands': [3, 3, 4], 'successors': [19]}, {'duration': 3, 'demands': [2, 6, 2], 'successors': [19]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 1, 'end': 5, 'duration': 4, 'demands': [4, 5, 4]}, {'task': 2, 'start': 16, 'end': 19, 'duration': 3, 'demands': [7, 4, 2]}, {'task': 3, 'start': 5, 'end': 12, 'duration': 7, 'demands': [8, 2, 2]}, {'task': 4, 'start': 34, 'end': 45, 'duration': 11, 'demands': [6, 1, 5]}, {'task': 5, 'start': 19, 'end': 32, 'duration': 13, 'demands': [8, 10, 8]}, {'task': 6, 'start': 12, 'end': 16, 'duration': 4, 'demands': [5, 6, 3]}, {'task': 7, 'start': 16, 'end': 18, 'duration': 2, 'demands': [3, 6, 7]}, {'task': 8, 'start': 45, 'end': 47, 'duration': 2, 'demands': [2, 3, 4]}, {'task': 9, 'start': 55, 'end': 58, 'duration': 3, 'demands': [3, 2, 3]}, {'task': 10, 'start': 34, 'end': 36, 'duration': 2, 'demands': [2, 3, 3]}, {'task': 11, 'start': 32, 'end': 33, 'duration': 1, 'demands': [8, 1, 7]}, {'task': 12, 'start': 47, 'end': 49, 'duration': 2, 'demands': [2, 5, 2]}, {'task': 13, 'start': 33, 'end': 34, 'duration': 1, 'demands': [1, 10, 5]}, {'task': 14, 'start': 55, 'end': 57, 'duration': 2, 'demands': [3, 3, 7]}, {'task': 15, 'start': 36, 'end': 44, 'duration': 8, 'demands': [4, 2, 4]}, {'task': 16, 'start': 45, 'end': 55, 'duration': 10, 'demands': [8, 2, 2]}, {'task': 17, 'start': 55, 'end': 59, 'duration': 4, 'demands': [3, 3, 4]}, {'task': 18, 'start': 58, 'end': 61, 'duration': 3, 'demands': [2, 6, 2]}, {'task': 19, 'start': 61, 'end': 62, 'duration': 1, 'demands': [0, 0, 0]}]",62.0,"{'problem_type': 'RCPSP', 'nr_tasks': 20, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18', 'T19', 'T20'], 'resources': [0, 1, 2], 'resource_capacities': [{'resource_id': 0, 'capacity': 10}, {'resource_id': 1, 'capacity': 10}, {'resource_id': 2, 'capacity': 14}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3', 'T4']}, {'task_id': 'T2', 'duration': 4, 'demands': [4, 5, 4], 'successors': ['T5', 'T6']}, {'task_id': 'T3', 'duration': 3, 'demands': [7, 4, 2], 'successors': ['T5']}, {'task_id': 'T4', 'duration': 7, 'demands': [8, 2, 2], 'successors': ['T6', 'T7']}, {'task_id': 'T5', 'duration': 11, 'demands': [6, 1, 5], 'successors': ['T9', 'T10']}, {'task_id': 'T6', 'duration': 13, 'demands': [8, 10, 8], 'successors': ['T11', 'T12']}, {'task_id': 'T7', 'duration': 4, 'demands': [5, 6, 3], 'successors': ['T9', 'T10']}, {'task_id': 'T8', 'duration': 2, 'demands': [3, 6, 7], 'successors': ['T9', 'T10']}, {'task_id': 'T9', 'duration': 2, 'demands': [2, 3, 4], 'successors': ['T13']}, {'task_id': 'T10', 'duration': 3, 'demands': [3, 2, 3], 'successors': []}, {'task_id': 'T11', 'duration': 2, 'demands': [2, 3, 3], 'successors': ['T13']}, {'task_id': 'T12', 'duration': 1, 'demands': [8, 1, 7], 'successors': ['T13', 'T14']}, {'task_id': 'T13', 'duration': 2, 'demands': [2, 5, 2], 'successors': ['T15']}, {'task_id': 'T14', 'duration': 1, 'demands': [1, 10, 5], 'successors': ['T16']}, {'task_id': 'T15', 'duration': 2, 'demands': [3, 3, 7], 'successors': ['T19']}, {'task_id': 'T16', 'duration': 8, 'demands': [4, 2, 4], 'successors': ['T18']}, {'task_id': 'T17', 'duration': 10, 'demands': [8, 2, 2], 'successors': ['T18']}, {'task_id': 'T18', 'duration': 4, 'demands': [3, 3, 4], 'successors': ['T20']}, {'task_id': 'T19', 'duration': 3, 'demands': [2, 6, 2], 'successors': ['T20']}, {'task_id': 'T20', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 1, 'end': 5, 'duration': 4, 'demands': [4, 5, 4]}, {'task': 'T3', 'start': 16, 'end': 19, 'duration': 3, 'demands': [7, 4, 2]}, {'task': 'T4', 'start': 5, 'end': 12, 'duration': 7, 'demands': [8, 2, 2]}, {'task': 'T5', 'start': 34, 'end': 45, 'duration': 11, 'demands': [6, 1, 5]}, {'task': 'T6', 'start': 19, 'end': 32, 'duration': 13, 'demands': [8, 10, 8]}, {'task': 'T7', 'start': 12, 'end': 16, 'duration': 4, 'demands': [5, 6, 3]}, {'task': 'T8', 'start': 16, 'end': 18, 'duration': 2, 'demands': [3, 6, 7]}, {'task': 'T9', 'start': 45, 'end': 47, 'duration': 2, 'demands': [2, 3, 4]}, {'task': 'T10', 'start': 55, 'end': 58, 'duration': 3, 'demands': [3, 2, 3]}, {'task': 'T11', 'start': 34, 'end': 36, 'duration': 2, 'demands': [2, 3, 3]}, {'task': 'T12', 'start': 32, 'end': 33, 'duration': 1, 'demands': [8, 1, 7]}, {'task': 'T13', 'start': 47, 'end': 49, 'duration': 2, 'demands': [2, 5, 2]}, {'task': 'T14', 'start': 33, 'end': 34, 'duration': 1, 'demands': [1, 10, 5]}, {'task': 'T15', 'start': 55, 'end': 57, 'duration': 2, 'demands': [3, 3, 7]}, {'task': 'T16', 'start': 36, 'end': 44, 'duration': 8, 'demands': [4, 2, 4]}, {'task': 'T17', 'start': 45, 'end': 55, 'duration': 10, 'demands': [8, 2, 2]}, {'task': 'T18', 'start': 55, 'end': 59, 'duration': 4, 'demands': [3, 3, 4]}, {'task': 'T19', 'start': 58, 'end': 61, 'duration': 3, 'demands': [2, 6, 2]}, {'task': 'T20', 'start': 61, 'end': 62, 'duration': 1, 'demands': [0, 0, 0]}]",26,csv,0
RCPSP,RCPSP,"Many people on the crew are watching the rehearsal board: each rehearsal block has a fixed length and needs both the stage and certain crew members, and some blocks depend on others finishing first. The challenge was picking exact start times so every block is scheduled exactly once, the order rules are followed, and we never ask for more technicians or stages than we have at any minute. A better lineup is the one where the final end time is sooner — to judge any lineup, find the end times of all blocks, take the latest one, and prefer the lineup with the earlier latest end. The specific rehearsals and resource limits are listed below.
The specific rehearsals and resource limits are listed below: there are 16 rehearsal blocks, 3 resource types, and the resource capacities are .
| resource_id | capacity |
|---|---|
| 1 | 13 |
| 2 | 12 |
| 3 | 8 |
| block_id | block_duration_minutes | resource_demands_vector | successor_block_ids |
|---|---|---|---|
| T1 | 3 | 8, 1, 3 | T3, T4 |
| T2 | 5 | 4, 1, 6 | T6, T7 |
| T3 | 2 | 4, 6, 5 | T6, T4, T9, T12 |
| T4 | 4 | 4, 8, 4 | T7, T8 |
| T5 | 4 | 3, 6, 6 | T6, T8, T4, T12 |
| T6 | 2 | 5, 1, 4 | T9, T10 |
| T7 | 2 | 5, 3, 2 | none |
| T8 | 2 | 6, 1, 8 | none |
| T9 | 4 | 2, 7, 3 | T11, T4 |
| T10 | 1 | 7, 10, 3 | T12, T13, T16 |
| T11 | 1 | 6, 9, 2 | T15, T16 |
| T12 | 3 | 2, 4, 4 | T14, T11 |
| T13 | 3 | 9, 2, 3 | T14 |
| T14 | 3 | 2, 12, 2 | T16, T4 |
| T15 | 6 | 4, 2, 1 | T16 |
| T16 | 5 | 0, 2, 4 | T4 |
We will judge lineups by the latest block end and prefer the lineup with the earlier latest end.
Also, when you send your lineup back, please stick to a simple JSON shape so it's easy to read and check. Something like this is what I expect:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
This is just a sketch of the shape: ""solution"" is a list of rehearsal blocks, and each block entry names the block under ""task"" and the chosen ""start"" and ""end"" times for it. Keep it casual — start and end are just the times on the rehearsal clock (use the same units the instance uses).
The JSON above is only the expected shape, not the actual answer. Please use the exact identifiers from the instance input — do not rename or invent labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'nr_tasks': 16, 'nr_resources': 3, 'capacities': [13, 12, 8], 'tasks': [{'duration': 3, 'demands': [8, 1, 3], 'successors': [2, 3]}, {'duration': 5, 'demands': [4, 1, 6], 'successors': [5, 6]}, {'duration': 2, 'demands': [4, 6, 5], 'successors': [5, 3, 8, 11]}, {'duration': 4, 'demands': [4, 8, 4], 'successors': [6, 7]}, {'duration': 4, 'demands': [3, 6, 6], 'successors': [5, 7, 3, 11]}, {'duration': 2, 'demands': [5, 1, 4], 'successors': [8, 9]}, {'duration': 2, 'demands': [5, 3, 2], 'successors': []}, {'duration': 2, 'demands': [6, 1, 8], 'successors': []}, {'duration': 4, 'demands': [2, 7, 3], 'successors': [10, 3]}, {'duration': 1, 'demands': [7, 10, 3], 'successors': [11, 12, 15]}, {'duration': 1, 'demands': [6, 9, 2], 'successors': [14, 15]}, {'duration': 3, 'demands': [2, 4, 4], 'successors': [13, 10]}, {'duration': 3, 'demands': [9, 2, 3], 'successors': [13]}, {'duration': 3, 'demands': [2, 12, 2], 'successors': [15, 3]}, {'duration': 6, 'demands': [4, 2, 1], 'successors': [15]}, {'duration': 5, 'demands': [0, 2, 4], 'successors': [3]}]}","[{'task': 0, 'start': 0, 'end': 3, 'duration': 3, 'demands': [8, 1, 3]}, {'task': 1, 'start': 3, 'end': 8, 'duration': 5, 'demands': [4, 1, 6]}, {'task': 2, 'start': 12, 'end': 14, 'duration': 2, 'demands': [4, 6, 5]}, {'task': 3, 'start': 36, 'end': 40, 'duration': 4, 'demands': [4, 8, 4]}, {'task': 4, 'start': 8, 'end': 12, 'duration': 4, 'demands': [3, 6, 6]}, {'task': 5, 'start': 14, 'end': 16, 'duration': 2, 'demands': [5, 1, 4]}, {'task': 6, 'start': 40, 'end': 42, 'duration': 2, 'demands': [5, 3, 2]}, {'task': 7, 'start': 42, 'end': 44, 'duration': 2, 'demands': [6, 1, 8]}, {'task': 8, 'start': 17, 'end': 21, 'duration': 4, 'demands': [2, 7, 3]}, {'task': 9, 'start': 16, 'end': 17, 'duration': 1, 'demands': [7, 10, 3]}, {'task': 10, 'start': 21, 'end': 22, 'duration': 1, 'demands': [6, 9, 2]}, {'task': 11, 'start': 17, 'end': 20, 'duration': 3, 'demands': [2, 4, 4]}, {'task': 12, 'start': 22, 'end': 25, 'duration': 3, 'demands': [9, 2, 3]}, {'task': 13, 'start': 28, 'end': 31, 'duration': 3, 'demands': [2, 12, 2]}, {'task': 14, 'start': 22, 'end': 28, 'duration': 6, 'demands': [4, 2, 1]}, {'task': 15, 'start': 31, 'end': 36, 'duration': 5, 'demands': [0, 2, 4]}]",44.0,"{'problem_type': 'RCPSP', 'nr_tasks': 16, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16'], 'resources': [1, 2, 3], 'resource_capacities': [{'resource_id': 1, 'capacity': 13}, {'resource_id': 2, 'capacity': 12}, {'resource_id': 3, 'capacity': 8}], 'task_records': [{'task_id': 'T1', 'duration': 3, 'demands': [8, 1, 3], 'successors': ['T3', 'T4']}, {'task_id': 'T2', 'duration': 5, 'demands': [4, 1, 6], 'successors': ['T6', 'T7']}, {'task_id': 'T3', 'duration': 2, 'demands': [4, 6, 5], 'successors': ['T6', 'T4', 'T9', 'T12']}, {'task_id': 'T4', 'duration': 4, 'demands': [4, 8, 4], 'successors': ['T7', 'T8']}, {'task_id': 'T5', 'duration': 4, 'demands': [3, 6, 6], 'successors': ['T6', 'T8', 'T4', 'T12']}, {'task_id': 'T6', 'duration': 2, 'demands': [5, 1, 4], 'successors': ['T9', 'T10']}, {'task_id': 'T7', 'duration': 2, 'demands': [5, 3, 2], 'successors': []}, {'task_id': 'T8', 'duration': 2, 'demands': [6, 1, 8], 'successors': []}, {'task_id': 'T9', 'duration': 4, 'demands': [2, 7, 3], 'successors': ['T11', 'T4']}, {'task_id': 'T10', 'duration': 1, 'demands': [7, 10, 3], 'successors': ['T12', 'T13', 'T16']}, {'task_id': 'T11', 'duration': 1, 'demands': [6, 9, 2], 'successors': ['T15', 'T16']}, {'task_id': 'T12', 'duration': 3, 'demands': [2, 4, 4], 'successors': ['T14', 'T11']}, {'task_id': 'T13', 'duration': 3, 'demands': [9, 2, 3], 'successors': ['T14']}, {'task_id': 'T14', 'duration': 3, 'demands': [2, 12, 2], 'successors': ['T16', 'T4']}, {'task_id': 'T15', 'duration': 6, 'demands': [4, 2, 1], 'successors': ['T16']}, {'task_id': 'T16', 'duration': 5, 'demands': [0, 2, 4], 'successors': ['T4']}]}","[{'task': 'T1', 'start': 0, 'end': 3, 'duration': 3, 'demands': [8, 1, 3]}, {'task': 'T2', 'start': 3, 'end': 8, 'duration': 5, 'demands': [4, 1, 6]}, {'task': 'T3', 'start': 12, 'end': 14, 'duration': 2, 'demands': [4, 6, 5]}, {'task': 'T4', 'start': 36, 'end': 40, 'duration': 4, 'demands': [4, 8, 4]}, {'task': 'T5', 'start': 8, 'end': 12, 'duration': 4, 'demands': [3, 6, 6]}, {'task': 'T6', 'start': 14, 'end': 16, 'duration': 2, 'demands': [5, 1, 4]}, {'task': 'T7', 'start': 40, 'end': 42, 'duration': 2, 'demands': [5, 3, 2]}, {'task': 'T8', 'start': 42, 'end': 44, 'duration': 2, 'demands': [6, 1, 8]}, {'task': 'T9', 'start': 17, 'end': 21, 'duration': 4, 'demands': [2, 7, 3]}, {'task': 'T10', 'start': 16, 'end': 17, 'duration': 1, 'demands': [7, 10, 3]}, {'task': 'T11', 'start': 21, 'end': 22, 'duration': 1, 'demands': [6, 9, 2]}, {'task': 'T12', 'start': 17, 'end': 20, 'duration': 3, 'demands': [2, 4, 4]}, {'task': 'T13', 'start': 22, 'end': 25, 'duration': 3, 'demands': [9, 2, 3]}, {'task': 'T14', 'start': 28, 'end': 31, 'duration': 3, 'demands': [2, 12, 2]}, {'task': 'T15', 'start': 22, 'end': 28, 'duration': 6, 'demands': [4, 2, 1]}, {'task': 'T16', 'start': 31, 'end': 36, 'duration': 5, 'demands': [0, 2, 4]}]",27,markdown_table,1
RCPSP,RCPSP,"Someone has to coordinate the roadworks so traffic can flow again: each repair takes a fixed block of time, consumes some crew hours and a machine while it’s underway, and a few jobs can’t begin until others are done. The job is to pick start times for each activity so the final reopening happens at the earliest possible moment — compare plans by the time the last task finishes, and earlier wins. At no point can the total crews or machines in use exceed what’s on the books, and every repair must be carried out once (no skipping or double-booking). The specific instance details are shown below.
There are 19 repairs to schedule, 3 resource types to track, and resource capacities are .
Repair T1 takes 1 time units, requires 0, 0, 0 while active, and must finish before T2, T3 can start.
Repair T2 takes 4 time units, requires 5, 8, 3 while active, and must finish before T4, T5, T6 can start.
Repair T3 takes 7 time units, requires 9, 1, 4 while active, and must finish before T6, T10 can start.
Repair T4 takes 3 time units, requires 9, 10, 8 while active, and must finish before T7 can start.
Repair T5 takes 1 time units, requires 2, 3, 4 while active, and must finish before T7, T9 can start.
Repair T6 takes 8 time units, requires 2, 7, 6 while active, and must finish before T7 can start.
Repair T7 takes 6 time units, requires 2, 2, 1 while active, and must finish before none can start.
Repair T8 takes 11 time units, requires 7, 6, 6 while active, and must finish before T9, T11 can start.
Repair T9 takes 4 time units, requires 6, 6, 4 while active, and must finish before T14 can start.
Repair T10 takes 1 time units, requires 3, 2, 2 while active, and must finish before T13, T7 can start.
Repair T11 takes 1 time units, requires 10, 2, 5 while active, and must finish before T15 can start.
Repair T12 takes 3 time units, requires 2, 6, 5 while active, and must finish before T13, T16, T19 can start.
Repair T13 takes 2 time units, requires 1, 6, 3 while active, and must finish before T17 can start.
Repair T14 takes 11 time units, requires 4, 2, 2 while active, and must finish before T17 can start.
Repair T15 takes 4 time units, requires 2, 0, 2 while active, and must finish before T17 can start.
Repair T16 takes 2 time units, requires 3, 1, 2 while active, and must finish before T18, T8, T4 can start.
Repair T17 takes 1 time units, requires 0, 1, 5 while active, and must finish before T19 can start.
Repair T18 takes 8 time units, requires 2, 1, 3 while active, and must finish before T19, T10 can start.
Repair T19 takes 1 time units, requires 0, 0, 0 while active, and must finish before none can start.
Choose start times so the final reopening is as early as possible while never exceeding the capacities .
Also, when you hand back a plan, please use a simple JSON layout so it's easy to double-check automatically. Something like this is what I expect to see:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
This little sketch means: ""solution"" is a list of scheduled activities; each item shows which task it is (task), when it begins (start) and when it finishes (end). Think of it like filling out a short form for every repair — one line per job with its start and end times. The JSON above is just the expected shape, not the actual schedule.
Please be sure to use the exact task identifiers from the instance input — don't rename them or invent new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'nr_tasks': 19, 'nr_resources': 3, 'capacities': [11, 12, 12], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2]}, {'duration': 4, 'demands': [5, 8, 3], 'successors': [3, 4, 5]}, {'duration': 7, 'demands': [9, 1, 4], 'successors': [5, 9]}, {'duration': 3, 'demands': [9, 10, 8], 'successors': [6]}, {'duration': 1, 'demands': [2, 3, 4], 'successors': [6, 8]}, {'duration': 8, 'demands': [2, 7, 6], 'successors': [6]}, {'duration': 6, 'demands': [2, 2, 1], 'successors': []}, {'duration': 11, 'demands': [7, 6, 6], 'successors': [8, 10]}, {'duration': 4, 'demands': [6, 6, 4], 'successors': [13]}, {'duration': 1, 'demands': [3, 2, 2], 'successors': [12, 6]}, {'duration': 1, 'demands': [10, 2, 5], 'successors': [14]}, {'duration': 3, 'demands': [2, 6, 5], 'successors': [12, 15, 18]}, {'duration': 2, 'demands': [1, 6, 3], 'successors': [16]}, {'duration': 11, 'demands': [4, 2, 2], 'successors': [16]}, {'duration': 4, 'demands': [2, 0, 2], 'successors': [16]}, {'duration': 2, 'demands': [3, 1, 2], 'successors': [17, 7, 3]}, {'duration': 1, 'demands': [0, 1, 5], 'successors': [18]}, {'duration': 8, 'demands': [2, 1, 3], 'successors': [18, 9]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 8, 'end': 12, 'duration': 4, 'demands': [5, 8, 3]}, {'task': 2, 'start': 1, 'end': 8, 'duration': 7, 'demands': [9, 1, 4]}, {'task': 3, 'start': 27, 'end': 30, 'duration': 3, 'demands': [9, 10, 8]}, {'task': 4, 'start': 18, 'end': 19, 'duration': 1, 'demands': [2, 3, 4]}, {'task': 5, 'start': 31, 'end': 39, 'duration': 8, 'demands': [2, 7, 6]}, {'task': 6, 'start': 39, 'end': 45, 'duration': 6, 'demands': [2, 2, 1]}, {'task': 7, 'start': 12, 'end': 23, 'duration': 11, 'demands': [7, 6, 6]}, {'task': 8, 'start': 23, 'end': 27, 'duration': 4, 'demands': [6, 6, 4]}, {'task': 9, 'start': 19, 'end': 20, 'duration': 1, 'demands': [3, 2, 2]}, {'task': 10, 'start': 30, 'end': 31, 'duration': 1, 'demands': [10, 2, 5]}, {'task': 11, 'start': 0, 'end': 3, 'duration': 3, 'demands': [2, 6, 5]}, {'task': 12, 'start': 20, 'end': 22, 'duration': 2, 'demands': [1, 6, 3]}, {'task': 13, 'start': 31, 'end': 42, 'duration': 11, 'demands': [4, 2, 2]}, {'task': 14, 'start': 31, 'end': 35, 'duration': 4, 'demands': [2, 0, 2]}, {'task': 15, 'start': 8, 'end': 10, 'duration': 2, 'demands': [3, 1, 2]}, {'task': 16, 'start': 42, 'end': 43, 'duration': 1, 'demands': [0, 1, 5]}, {'task': 17, 'start': 10, 'end': 18, 'duration': 8, 'demands': [2, 1, 3]}, {'task': 18, 'start': 43, 'end': 44, 'duration': 1, 'demands': [0, 0, 0]}]",45.0,"{'problem_type': 'RCPSP', 'nr_tasks': 19, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18', 'T19'], 'resources': ['A', 'B', 'C'], 'resource_capacities': [{'resource_id': 'A', 'capacity': 11}, {'resource_id': 'B', 'capacity': 12}, {'resource_id': 'C', 'capacity': 12}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3']}, {'task_id': 'T2', 'duration': 4, 'demands': [5, 8, 3], 'successors': ['T4', 'T5', 'T6']}, {'task_id': 'T3', 'duration': 7, 'demands': [9, 1, 4], 'successors': ['T6', 'T10']}, {'task_id': 'T4', 'duration': 3, 'demands': [9, 10, 8], 'successors': ['T7']}, {'task_id': 'T5', 'duration': 1, 'demands': [2, 3, 4], 'successors': ['T7', 'T9']}, {'task_id': 'T6', 'duration': 8, 'demands': [2, 7, 6], 'successors': ['T7']}, {'task_id': 'T7', 'duration': 6, 'demands': [2, 2, 1], 'successors': []}, {'task_id': 'T8', 'duration': 11, 'demands': [7, 6, 6], 'successors': ['T9', 'T11']}, {'task_id': 'T9', 'duration': 4, 'demands': [6, 6, 4], 'successors': ['T14']}, {'task_id': 'T10', 'duration': 1, 'demands': [3, 2, 2], 'successors': ['T13', 'T7']}, {'task_id': 'T11', 'duration': 1, 'demands': [10, 2, 5], 'successors': ['T15']}, {'task_id': 'T12', 'duration': 3, 'demands': [2, 6, 5], 'successors': ['T13', 'T16', 'T19']}, {'task_id': 'T13', 'duration': 2, 'demands': [1, 6, 3], 'successors': ['T17']}, {'task_id': 'T14', 'duration': 11, 'demands': [4, 2, 2], 'successors': ['T17']}, {'task_id': 'T15', 'duration': 4, 'demands': [2, 0, 2], 'successors': ['T17']}, {'task_id': 'T16', 'duration': 2, 'demands': [3, 1, 2], 'successors': ['T18', 'T8', 'T4']}, {'task_id': 'T17', 'duration': 1, 'demands': [0, 1, 5], 'successors': ['T19']}, {'task_id': 'T18', 'duration': 8, 'demands': [2, 1, 3], 'successors': ['T19', 'T10']}, {'task_id': 'T19', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 8, 'end': 12, 'duration': 4, 'demands': [5, 8, 3]}, {'task': 'T3', 'start': 1, 'end': 8, 'duration': 7, 'demands': [9, 1, 4]}, {'task': 'T4', 'start': 27, 'end': 30, 'duration': 3, 'demands': [9, 10, 8]}, {'task': 'T5', 'start': 18, 'end': 19, 'duration': 1, 'demands': [2, 3, 4]}, {'task': 'T6', 'start': 31, 'end': 39, 'duration': 8, 'demands': [2, 7, 6]}, {'task': 'T7', 'start': 39, 'end': 45, 'duration': 6, 'demands': [2, 2, 1]}, {'task': 'T8', 'start': 12, 'end': 23, 'duration': 11, 'demands': [7, 6, 6]}, {'task': 'T9', 'start': 23, 'end': 27, 'duration': 4, 'demands': [6, 6, 4]}, {'task': 'T10', 'start': 19, 'end': 20, 'duration': 1, 'demands': [3, 2, 2]}, {'task': 'T11', 'start': 30, 'end': 31, 'duration': 1, 'demands': [10, 2, 5]}, {'task': 'T12', 'start': 0, 'end': 3, 'duration': 3, 'demands': [2, 6, 5]}, {'task': 'T13', 'start': 20, 'end': 22, 'duration': 2, 'demands': [1, 6, 3]}, {'task': 'T14', 'start': 31, 'end': 42, 'duration': 11, 'demands': [4, 2, 2]}, {'task': 'T15', 'start': 31, 'end': 35, 'duration': 4, 'demands': [2, 0, 2]}, {'task': 'T16', 'start': 8, 'end': 10, 'duration': 2, 'demands': [3, 1, 2]}, {'task': 'T17', 'start': 42, 'end': 43, 'duration': 1, 'demands': [0, 1, 5]}, {'task': 'T18', 'start': 10, 'end': 18, 'duration': 8, 'demands': [2, 1, 3]}, {'task': 'T19', 'start': 43, 'end': 44, 'duration': 1, 'demands': [0, 0, 0]}]",28,nl,names
RCPSP,RCPSP,"We’re prepping the shop for opening: there’s a bunch of fixed-length jobs — unloading pallets, unpacking products, setting up displays — and each one ties up forklifts and staff while it runs. Some steps have to wait for others (you can’t set up a display until the items are unpacked), so the decision is when to start each job so nothing overlaps the available forklifts or people and nothing gets skipped or done twice. A better plan gets everything done sooner, measured by the moment the final job wraps up. The specific tasks and capacities are listed below.
We’ve got 16 distinct restocking and display jobs using 3 resource types, and the resource capacities are .
| resource_id | capacity |
|---|---|
| 1 | 10 |
| 2 | 11 |
| 3 | 12 |
| task_identifier | duration_minutes | resource_demands | immediate_successors |
|---|---|---|---|
| T1 | 2 | 5, 7, 3 | T5, T6 |
| T2 | 7 | 5, 4, 2 | T4, T5 |
| T3 | 6 | 5, 3, 2 | T5, T6, T7 |
| T4 | 1 | 2, 1, 8 | T8, T9 |
| T5 | 1 | 6, 8, 3 | T8, T9 |
| T6 | 12 | 5, 9, 1 | T8, T10, T15 |
| T7 | 8 | 2, 7, 7 | T10, T11 |
| T8 | 3 | 5, 3, 3 | T12, T14, T10 |
| T9 | 2 | 6, 3, 4 | T13 |
| T10 | 1 | 5, 6, 4 | T13 |
| T11 | 7 | 6, 1, 3 | T12 |
| T12 | 4 | 2, 5, 7 | T15 |
| T13 | 3 | 1, 2, 4 | T15, T11, T16 |
| T14 | 3 | 3, 4, 3 | T12 |
| T15 | 3 | 4, 2, 2 | T16 |
| T16 | 6 | 4, 5, 12 | none |
We’ll pick start times so we never exceed those capacities and finish everything as early as possible.
Just so we're on the same page, when you send the schedule back, a relaxed JSON layout like this is perfect — a list called ""solution"" where each item names the task and its start and end times.
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
This is just a sketch of the shape I expect, not the actual schedule. In plain terms: ""solution"" holds a bunch of task entries; each entry's ""task"" is the task identifier, ""start"" is when that job begins, and ""end"" is when it finishes (in the same time units used in the instance). Keep it simple — like filling out a form for each job.
Please use the exact task identifiers from the instance input — do not rename them or invent new labels. Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'nr_tasks': 16, 'nr_resources': 3, 'capacities': [10, 11, 12], 'tasks': [{'duration': 2, 'demands': [5, 7, 3], 'successors': [4, 5]}, {'duration': 7, 'demands': [5, 4, 2], 'successors': [3, 4]}, {'duration': 6, 'demands': [5, 3, 2], 'successors': [4, 5, 6]}, {'duration': 1, 'demands': [2, 1, 8], 'successors': [7, 8]}, {'duration': 1, 'demands': [6, 8, 3], 'successors': [7, 8]}, {'duration': 12, 'demands': [5, 9, 1], 'successors': [7, 9, 14]}, {'duration': 8, 'demands': [2, 7, 7], 'successors': [9, 10]}, {'duration': 3, 'demands': [5, 3, 3], 'successors': [11, 13, 9]}, {'duration': 2, 'demands': [6, 3, 4], 'successors': [12]}, {'duration': 1, 'demands': [5, 6, 4], 'successors': [12]}, {'duration': 7, 'demands': [6, 1, 3], 'successors': [11]}, {'duration': 4, 'demands': [2, 5, 7], 'successors': [14]}, {'duration': 3, 'demands': [1, 2, 4], 'successors': [14, 10, 15]}, {'duration': 3, 'demands': [3, 4, 3], 'successors': [11]}, {'duration': 3, 'demands': [4, 2, 2], 'successors': [15]}, {'duration': 6, 'demands': [4, 5, 12], 'successors': []}]}","[{'task': 0, 'start': 6, 'end': 8, 'duration': 2, 'demands': [5, 7, 3]}, {'task': 1, 'start': 0, 'end': 7, 'duration': 7, 'demands': [5, 4, 2]}, {'task': 2, 'start': 0, 'end': 6, 'duration': 6, 'demands': [5, 3, 2]}, {'task': 3, 'start': 7, 'end': 8, 'duration': 1, 'demands': [2, 1, 8]}, {'task': 4, 'start': 20, 'end': 21, 'duration': 1, 'demands': [6, 8, 3]}, {'task': 5, 'start': 8, 'end': 20, 'duration': 12, 'demands': [5, 9, 1]}, {'task': 6, 'start': 21, 'end': 29, 'duration': 8, 'demands': [2, 7, 7]}, {'task': 7, 'start': 21, 'end': 24, 'duration': 3, 'demands': [5, 3, 3]}, {'task': 8, 'start': 24, 'end': 26, 'duration': 2, 'demands': [6, 3, 4]}, {'task': 9, 'start': 29, 'end': 30, 'duration': 1, 'demands': [5, 6, 4]}, {'task': 10, 'start': 33, 'end': 40, 'duration': 7, 'demands': [6, 1, 3]}, {'task': 11, 'start': 40, 'end': 44, 'duration': 4, 'demands': [2, 5, 7]}, {'task': 12, 'start': 30, 'end': 33, 'duration': 3, 'demands': [1, 2, 4]}, {'task': 13, 'start': 26, 'end': 29, 'duration': 3, 'demands': [3, 4, 3]}, {'task': 14, 'start': 44, 'end': 47, 'duration': 3, 'demands': [4, 2, 2]}, {'task': 15, 'start': 47, 'end': 53, 'duration': 6, 'demands': [4, 5, 12]}]",53.0,"{'problem_type': 'RCPSP', 'nr_tasks': 16, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16'], 'resources': [1, 2, 3], 'resource_capacities': [{'resource_id': 1, 'capacity': 10}, {'resource_id': 2, 'capacity': 11}, {'resource_id': 3, 'capacity': 12}], 'task_records': [{'task_id': 'T1', 'duration': 2, 'demands': [5, 7, 3], 'successors': ['T5', 'T6']}, {'task_id': 'T2', 'duration': 7, 'demands': [5, 4, 2], 'successors': ['T4', 'T5']}, {'task_id': 'T3', 'duration': 6, 'demands': [5, 3, 2], 'successors': ['T5', 'T6', 'T7']}, {'task_id': 'T4', 'duration': 1, 'demands': [2, 1, 8], 'successors': ['T8', 'T9']}, {'task_id': 'T5', 'duration': 1, 'demands': [6, 8, 3], 'successors': ['T8', 'T9']}, {'task_id': 'T6', 'duration': 12, 'demands': [5, 9, 1], 'successors': ['T8', 'T10', 'T15']}, {'task_id': 'T7', 'duration': 8, 'demands': [2, 7, 7], 'successors': ['T10', 'T11']}, {'task_id': 'T8', 'duration': 3, 'demands': [5, 3, 3], 'successors': ['T12', 'T14', 'T10']}, {'task_id': 'T9', 'duration': 2, 'demands': [6, 3, 4], 'successors': ['T13']}, {'task_id': 'T10', 'duration': 1, 'demands': [5, 6, 4], 'successors': ['T13']}, {'task_id': 'T11', 'duration': 7, 'demands': [6, 1, 3], 'successors': ['T12']}, {'task_id': 'T12', 'duration': 4, 'demands': [2, 5, 7], 'successors': ['T15']}, {'task_id': 'T13', 'duration': 3, 'demands': [1, 2, 4], 'successors': ['T15', 'T11', 'T16']}, {'task_id': 'T14', 'duration': 3, 'demands': [3, 4, 3], 'successors': ['T12']}, {'task_id': 'T15', 'duration': 3, 'demands': [4, 2, 2], 'successors': ['T16']}, {'task_id': 'T16', 'duration': 6, 'demands': [4, 5, 12], 'successors': []}]}","[{'task': 'T1', 'start': 6, 'end': 8, 'duration': 2, 'demands': [5, 7, 3]}, {'task': 'T2', 'start': 0, 'end': 7, 'duration': 7, 'demands': [5, 4, 2]}, {'task': 'T3', 'start': 0, 'end': 6, 'duration': 6, 'demands': [5, 3, 2]}, {'task': 'T4', 'start': 7, 'end': 8, 'duration': 1, 'demands': [2, 1, 8]}, {'task': 'T5', 'start': 20, 'end': 21, 'duration': 1, 'demands': [6, 8, 3]}, {'task': 'T6', 'start': 8, 'end': 20, 'duration': 12, 'demands': [5, 9, 1]}, {'task': 'T7', 'start': 21, 'end': 29, 'duration': 8, 'demands': [2, 7, 7]}, {'task': 'T8', 'start': 21, 'end': 24, 'duration': 3, 'demands': [5, 3, 3]}, {'task': 'T9', 'start': 24, 'end': 26, 'duration': 2, 'demands': [6, 3, 4]}, {'task': 'T10', 'start': 29, 'end': 30, 'duration': 1, 'demands': [5, 6, 4]}, {'task': 'T11', 'start': 33, 'end': 40, 'duration': 7, 'demands': [6, 1, 3]}, {'task': 'T12', 'start': 40, 'end': 44, 'duration': 4, 'demands': [2, 5, 7]}, {'task': 'T13', 'start': 30, 'end': 33, 'duration': 3, 'demands': [1, 2, 4]}, {'task': 'T14', 'start': 26, 'end': 29, 'duration': 3, 'demands': [3, 4, 3]}, {'task': 'T15', 'start': 44, 'end': 47, 'duration': 3, 'demands': [4, 2, 2]}, {'task': 'T16', 'start': 47, 'end': 53, 'duration': 6, 'demands': [4, 5, 12]}]",29,markdown_table,1
RCPSP,RCPSP,"Many teams are waiting for a schedule: every procedure on the list takes a known amount of time and uses up certain staff and an operating room while it’s happening, and some procedures must wait until others finish. The core decision is to choose start times for all procedures so that the whole set finishes as fast as possible — you tell which schedule is better by checking the time the last procedure ends, and smaller is better. Real-world limits apply: no procedure is dropped or duplicated, precedence pairs must be respected, and at any moment the number of rooms and staff in use can’t exceed capacity. The full data for this instance is shown below.
This instance has 16 procedures, 3 resource types, and resource capacities .
Procedure T1 runs for 1 time units, uses resources 0, 0, 0 while active, and its direct successors are T2, T3, T4, T9.
Procedure T2 runs for 2 time units, uses resources 2, 3, 3 while active, and its direct successors are T5, T6, T7, T8.
Procedure T3 runs for 1 time units, uses resources 6, 7, 4 while active, and its direct successors are T5, T6, T7, T8.
Procedure T4 runs for 11 time units, uses resources 6, 1, 3 while active, and its direct successors are T5, T6, T7, T8, T10.
Procedure T5 runs for 2 time units, uses resources 6, 1, 5 while active, and its direct successors are none.
Procedure T6 runs for 6 time units, uses resources 5, 9, 5 while active, and its direct successors are none.
Procedure T7 runs for 3 time units, uses resources 6, 3, 3 while active, and its direct successors are none.
Procedure T8 runs for 3 time units, uses resources 3, 7, 4 while active, and its direct successors are none.
Procedure T9 runs for 4 time units, uses resources 4, 5, 7 while active, and its direct successors are T12.
Procedure T10 runs for 2 time units, uses resources 2, 10, 4 while active, and its direct successors are T13.
Procedure T11 runs for 1 time units, uses resources 2, 7, 3 while active, and its direct successors are T14, T5.
Procedure T12 runs for 9 time units, uses resources 2, 4, 3 while active, and its direct successors are T16.
Procedure T13 runs for 5 time units, uses resources 6, 3, 3 while active, and its direct successors are T15, T11.
Procedure T14 runs for 5 time units, uses resources 3, 5, 11 while active, and its direct successors are T16, T9.
Procedure T15 runs for 1 time units, uses resources 2, 5, 2 while active, and its direct successors are T16, T12.
Procedure T16 runs for 1 time units, uses resources 0, 0, 0 while active, and its direct successors are T2.
You must assign start times for all procedures so precedence relations and resource capacities are respected, minimizing the makespan (time the last procedure ends).
Oh, and when you send the schedule back, please put it in this simple JSON shape so it's easy to read and check:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
Think of it like a little form: ""solution"" is the list of procedures, each item shows which procedure (""task"") and the time it starts and finishes (""start"" and ""end""). Keep the times in the same units the instance uses. This JSON is just a sketch of the shape I expect — you'll fill in the actual task identifiers and numbers.
Please use the identifiers exactly as they appear in the instance input — do not rename or invent new labels. For example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'nr_tasks': 16, 'nr_resources': 3, 'capacities': [8, 11, 11], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2, 3, 8]}, {'duration': 2, 'demands': [2, 3, 3], 'successors': [4, 5, 6, 7]}, {'duration': 1, 'demands': [6, 7, 4], 'successors': [4, 5, 6, 7]}, {'duration': 11, 'demands': [6, 1, 3], 'successors': [4, 5, 6, 7, 9]}, {'duration': 2, 'demands': [6, 1, 5], 'successors': []}, {'duration': 6, 'demands': [5, 9, 5], 'successors': []}, {'duration': 3, 'demands': [6, 3, 3], 'successors': []}, {'duration': 3, 'demands': [3, 7, 4], 'successors': []}, {'duration': 4, 'demands': [4, 5, 7], 'successors': [11]}, {'duration': 2, 'demands': [2, 10, 4], 'successors': [12]}, {'duration': 1, 'demands': [2, 7, 3], 'successors': [13, 4]}, {'duration': 9, 'demands': [2, 4, 3], 'successors': [15]}, {'duration': 5, 'demands': [6, 3, 3], 'successors': [14, 10]}, {'duration': 5, 'demands': [3, 5, 11], 'successors': [15, 8]}, {'duration': 1, 'demands': [2, 5, 2], 'successors': [15, 11]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': [1]}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 39, 'end': 41, 'duration': 2, 'demands': [2, 3, 3]}, {'task': 2, 'start': 29, 'end': 30, 'duration': 1, 'demands': [6, 7, 4]}, {'task': 3, 'start': 1, 'end': 12, 'duration': 11, 'demands': [6, 1, 3]}, {'task': 4, 'start': 53, 'end': 55, 'duration': 2, 'demands': [6, 1, 5]}, {'task': 5, 'start': 41, 'end': 47, 'duration': 6, 'demands': [5, 9, 5]}, {'task': 6, 'start': 47, 'end': 50, 'duration': 3, 'demands': [6, 3, 3]}, {'task': 7, 'start': 50, 'end': 53, 'duration': 3, 'demands': [3, 7, 4]}, {'task': 8, 'start': 25, 'end': 29, 'duration': 4, 'demands': [4, 5, 7]}, {'task': 9, 'start': 12, 'end': 14, 'duration': 2, 'demands': [2, 10, 4]}, {'task': 10, 'start': 19, 'end': 20, 'duration': 1, 'demands': [2, 7, 3]}, {'task': 11, 'start': 29, 'end': 38, 'duration': 9, 'demands': [2, 4, 3]}, {'task': 12, 'start': 14, 'end': 19, 'duration': 5, 'demands': [6, 3, 3]}, {'task': 13, 'start': 20, 'end': 25, 'duration': 5, 'demands': [3, 5, 11]}, {'task': 14, 'start': 25, 'end': 26, 'duration': 1, 'demands': [2, 5, 2]}, {'task': 15, 'start': 38, 'end': 39, 'duration': 1, 'demands': [0, 0, 0]}]",55.0,"{'problem_type': 'RCPSP', 'nr_tasks': 16, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16'], 'resources': [1, 2, 3], 'resource_capacities': [{'resource_id': 1, 'capacity': 8}, {'resource_id': 2, 'capacity': 11}, {'resource_id': 3, 'capacity': 11}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3', 'T4', 'T9']}, {'task_id': 'T2', 'duration': 2, 'demands': [2, 3, 3], 'successors': ['T5', 'T6', 'T7', 'T8']}, {'task_id': 'T3', 'duration': 1, 'demands': [6, 7, 4], 'successors': ['T5', 'T6', 'T7', 'T8']}, {'task_id': 'T4', 'duration': 11, 'demands': [6, 1, 3], 'successors': ['T5', 'T6', 'T7', 'T8', 'T10']}, {'task_id': 'T5', 'duration': 2, 'demands': [6, 1, 5], 'successors': []}, {'task_id': 'T6', 'duration': 6, 'demands': [5, 9, 5], 'successors': []}, {'task_id': 'T7', 'duration': 3, 'demands': [6, 3, 3], 'successors': []}, {'task_id': 'T8', 'duration': 3, 'demands': [3, 7, 4], 'successors': []}, {'task_id': 'T9', 'duration': 4, 'demands': [4, 5, 7], 'successors': ['T12']}, {'task_id': 'T10', 'duration': 2, 'demands': [2, 10, 4], 'successors': ['T13']}, {'task_id': 'T11', 'duration': 1, 'demands': [2, 7, 3], 'successors': ['T14', 'T5']}, {'task_id': 'T12', 'duration': 9, 'demands': [2, 4, 3], 'successors': ['T16']}, {'task_id': 'T13', 'duration': 5, 'demands': [6, 3, 3], 'successors': ['T15', 'T11']}, {'task_id': 'T14', 'duration': 5, 'demands': [3, 5, 11], 'successors': ['T16', 'T9']}, {'task_id': 'T15', 'duration': 1, 'demands': [2, 5, 2], 'successors': ['T16', 'T12']}, {'task_id': 'T16', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2']}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 39, 'end': 41, 'duration': 2, 'demands': [2, 3, 3]}, {'task': 'T3', 'start': 29, 'end': 30, 'duration': 1, 'demands': [6, 7, 4]}, {'task': 'T4', 'start': 1, 'end': 12, 'duration': 11, 'demands': [6, 1, 3]}, {'task': 'T5', 'start': 53, 'end': 55, 'duration': 2, 'demands': [6, 1, 5]}, {'task': 'T6', 'start': 41, 'end': 47, 'duration': 6, 'demands': [5, 9, 5]}, {'task': 'T7', 'start': 47, 'end': 50, 'duration': 3, 'demands': [6, 3, 3]}, {'task': 'T8', 'start': 50, 'end': 53, 'duration': 3, 'demands': [3, 7, 4]}, {'task': 'T9', 'start': 25, 'end': 29, 'duration': 4, 'demands': [4, 5, 7]}, {'task': 'T10', 'start': 12, 'end': 14, 'duration': 2, 'demands': [2, 10, 4]}, {'task': 'T11', 'start': 19, 'end': 20, 'duration': 1, 'demands': [2, 7, 3]}, {'task': 'T12', 'start': 29, 'end': 38, 'duration': 9, 'demands': [2, 4, 3]}, {'task': 'T13', 'start': 14, 'end': 19, 'duration': 5, 'demands': [6, 3, 3]}, {'task': 'T14', 'start': 20, 'end': 25, 'duration': 5, 'demands': [3, 5, 11]}, {'task': 'T15', 'start': 25, 'end': 26, 'duration': 1, 'demands': [2, 5, 2]}, {'task': 'T16', 'start': 38, 'end': 39, 'duration': 1, 'demands': [0, 0, 0]}]",30,nl,1
RCPSP,RCPSP,"Recently the ops crew sketched a release pipeline: a bunch of ordered tasks, each with a fixed duration and a need for some combination of compute and people while active. Some tasks are blocked until predecessors finish. The task now is to set start times for all tasks so the release completes at the earliest possible moment — in other words, minimize the time when the final task finishes. Schedules that make that finishing moment sooner are preferable, provided every dependency is respected, no task is left out or run twice, and resource caps for machines and staff aren’t exceeded. The exact tasks and resource numbers are shown below.
{
""total_tasks"": 18,
""total_resource_types"": 1,
""resources"": [
""A""
],
""resource_capacities"": [
{
""resource_id"": ""A"",
""capacity"": 10
}
],
""tasks"": [
{
""task_identifier"": ""T1"",
""task_duration"": 1,
""resource_demands"": [
0
],
""successor_task_ids"": [
""T2"",
""T3"",
""T4"",
""T5"",
""T6""
]
},
{
""task_identifier"": ""T2"",
""task_duration"": 2,
""resource_demands"": [
8
],
""successor_task_ids"": [
""T17""
]
},
{
""task_identifier"": ""T3"",
""task_duration"": 3,
""resource_demands"": [
1
],
""successor_task_ids"": [
""T7"",
""T8""
]
},
{
""task_identifier"": ""T4"",
""task_duration"": 9,
""resource_demands"": [
4
],
""successor_task_ids"": [
""T9"",
""T13"",
""T14""
]
},
{
""task_identifier"": ""T5"",
""task_duration"": 3,
""resource_demands"": [
10
],
""successor_task_ids"": [
""T10"",
""T12""
]
},
{
""task_identifier"": ""T6"",
""task_duration"": 6,
""resource_demands"": [
1
],
""successor_task_ids"": [
""T11""
]
},
{
""task_identifier"": ""T7"",
""task_duration"": 4,
""resource_demands"": [
1
],
""successor_task_ids"": [
""T17""
]
},
{
""task_identifier"": ""T8"",
""task_duration"": 1,
""resource_demands"": [
0
],
""successor_task_ids"": [
""T9"",
""T13"",
""T14""
]
},
{
""task_identifier"": ""T9"",
""task_duration"": 2,
""resource_demands"": [
1
],
""successor_task_ids"": [
""T10"",
""T12""
]
},
{
""task_identifier"": ""T10"",
""task_duration"": 3,
""resource_demands"": [
4
],
""successor_task_ids"": [
""T18""
]
},
{
""task_identifier"": ""T11"",
""task_duration"": 13,
""resource_demands"": [
5
],
""successor_task_ids"": [
""T18""
]
},
{
""task_identifier"": ""T12"",
""task_duration"": 2,
""resource_demands"": [
2
],
""successor_task_ids"": [
""T15"",
""T16""
]
},
{
""task_identifier"": ""T13"",
""task_duration"": 5,
""resource_demands"": [
4
],
""successor_task_ids"": [
""T15"",
""T16""
]
},
{
""task_identifier"": ""T14"",
""task_duration"": 1,
""resource_demands"": [
2
],
""successor_task_ids"": [
""T17""
]
},
{
""task_identifier"": ""T15"",
""task_duration"": 1,
""resource_demands"": [
0
],
""successor_task_ids"": [
""T17""
]
},
{
""task_identifier"": ""T16"",
""task_duration"": 5,
""resource_demands"": [
3
],
""successor_task_ids"": [
""T18""
]
},
{
""task_identifier"": ""T17"",
""task_duration"": 14,
""resource_demands"": [
2
],
""successor_task_ids"": [
""T18""
]
},
{
""task_identifier"": ""T18"",
""task_duration"": 1,
""resource_demands"": [
0
],
""successor_task_ids"": []
}
]
}
Also, when you hand me the schedule, please use this simple JSON shape so it's easy to read and plug into whatever checks we run next:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
This just means ""solution"" is a list of task entries; each entry has the task identifier and the numeric start and end times for that task (same time units as in the instance). It's just a template — replace the placeholders with the actual values for every task.
Please use the exact task identifiers from the instance input — don't rename them or invent new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.
Also be sure every task from the instance appears exactly once in the solution (no duplicates, none missing).","{'nr_tasks': 18, 'nr_resources': 1, 'capacities': [10], 'tasks': [{'duration': 1, 'demands': [0], 'successors': [1, 2, 3, 4, 5]}, {'duration': 2, 'demands': [8], 'successors': [16]}, {'duration': 3, 'demands': [1], 'successors': [6, 7]}, {'duration': 9, 'demands': [4], 'successors': [8, 12, 13]}, {'duration': 3, 'demands': [10], 'successors': [9, 11]}, {'duration': 6, 'demands': [1], 'successors': [10]}, {'duration': 4, 'demands': [1], 'successors': [16]}, {'duration': 1, 'demands': [0], 'successors': [8, 12, 13]}, {'duration': 2, 'demands': [1], 'successors': [9, 11]}, {'duration': 3, 'demands': [4], 'successors': [17]}, {'duration': 13, 'demands': [5], 'successors': [17]}, {'duration': 2, 'demands': [2], 'successors': [14, 15]}, {'duration': 5, 'demands': [4], 'successors': [14, 15]}, {'duration': 1, 'demands': [2], 'successors': [16]}, {'duration': 1, 'demands': [0], 'successors': [16]}, {'duration': 5, 'demands': [3], 'successors': [17]}, {'duration': 14, 'demands': [2], 'successors': [17]}, {'duration': 1, 'demands': [0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0]}, {'task': 1, 'start': 18, 'end': 20, 'duration': 2, 'demands': [8]}, {'task': 2, 'start': 1, 'end': 4, 'duration': 3, 'demands': [1]}, {'task': 3, 'start': 1, 'end': 10, 'duration': 9, 'demands': [4]}, {'task': 4, 'start': 10, 'end': 13, 'duration': 3, 'demands': [10]}, {'task': 5, 'start': 1, 'end': 7, 'duration': 6, 'demands': [1]}, {'task': 6, 'start': 4, 'end': 8, 'duration': 4, 'demands': [1]}, {'task': 7, 'start': 9, 'end': 10, 'duration': 1, 'demands': [0]}, {'task': 8, 'start': 13, 'end': 15, 'duration': 2, 'demands': [1]}, {'task': 9, 'start': 15, 'end': 18, 'duration': 3, 'demands': [4]}, {'task': 10, 'start': 20, 'end': 33, 'duration': 13, 'demands': [5]}, {'task': 11, 'start': 15, 'end': 17, 'duration': 2, 'demands': [2]}, {'task': 12, 'start': 13, 'end': 18, 'duration': 5, 'demands': [4]}, {'task': 13, 'start': 13, 'end': 14, 'duration': 1, 'demands': [2]}, {'task': 14, 'start': 18, 'end': 19, 'duration': 1, 'demands': [0]}, {'task': 15, 'start': 20, 'end': 25, 'duration': 5, 'demands': [3]}, {'task': 16, 'start': 20, 'end': 34, 'duration': 14, 'demands': [2]}, {'task': 17, 'start': 34, 'end': 35, 'duration': 1, 'demands': [0]}]",35.0,"{'problem_type': 'RCPSP', 'nr_tasks': 18, 'nr_resources': 1, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18'], 'resources': ['A'], 'resource_capacities': [{'resource_id': 'A', 'capacity': 10}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0], 'successors': ['T2', 'T3', 'T4', 'T5', 'T6']}, {'task_id': 'T2', 'duration': 2, 'demands': [8], 'successors': ['T17']}, {'task_id': 'T3', 'duration': 3, 'demands': [1], 'successors': ['T7', 'T8']}, {'task_id': 'T4', 'duration': 9, 'demands': [4], 'successors': ['T9', 'T13', 'T14']}, {'task_id': 'T5', 'duration': 3, 'demands': [10], 'successors': ['T10', 'T12']}, {'task_id': 'T6', 'duration': 6, 'demands': [1], 'successors': ['T11']}, {'task_id': 'T7', 'duration': 4, 'demands': [1], 'successors': ['T17']}, {'task_id': 'T8', 'duration': 1, 'demands': [0], 'successors': ['T9', 'T13', 'T14']}, {'task_id': 'T9', 'duration': 2, 'demands': [1], 'successors': ['T10', 'T12']}, {'task_id': 'T10', 'duration': 3, 'demands': [4], 'successors': ['T18']}, {'task_id': 'T11', 'duration': 13, 'demands': [5], 'successors': ['T18']}, {'task_id': 'T12', 'duration': 2, 'demands': [2], 'successors': ['T15', 'T16']}, {'task_id': 'T13', 'duration': 5, 'demands': [4], 'successors': ['T15', 'T16']}, {'task_id': 'T14', 'duration': 1, 'demands': [2], 'successors': ['T17']}, {'task_id': 'T15', 'duration': 1, 'demands': [0], 'successors': ['T17']}, {'task_id': 'T16', 'duration': 5, 'demands': [3], 'successors': ['T18']}, {'task_id': 'T17', 'duration': 14, 'demands': [2], 'successors': ['T18']}, {'task_id': 'T18', 'duration': 1, 'demands': [0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0]}, {'task': 'T2', 'start': 18, 'end': 20, 'duration': 2, 'demands': [8]}, {'task': 'T3', 'start': 1, 'end': 4, 'duration': 3, 'demands': [1]}, {'task': 'T4', 'start': 1, 'end': 10, 'duration': 9, 'demands': [4]}, {'task': 'T5', 'start': 10, 'end': 13, 'duration': 3, 'demands': [10]}, {'task': 'T6', 'start': 1, 'end': 7, 'duration': 6, 'demands': [1]}, {'task': 'T7', 'start': 4, 'end': 8, 'duration': 4, 'demands': [1]}, {'task': 'T8', 'start': 9, 'end': 10, 'duration': 1, 'demands': [0]}, {'task': 'T9', 'start': 13, 'end': 15, 'duration': 2, 'demands': [1]}, {'task': 'T10', 'start': 15, 'end': 18, 'duration': 3, 'demands': [4]}, {'task': 'T11', 'start': 20, 'end': 33, 'duration': 13, 'demands': [5]}, {'task': 'T12', 'start': 15, 'end': 17, 'duration': 2, 'demands': [2]}, {'task': 'T13', 'start': 13, 'end': 18, 'duration': 5, 'demands': [4]}, {'task': 'T14', 'start': 13, 'end': 14, 'duration': 1, 'demands': [2]}, {'task': 'T15', 'start': 18, 'end': 19, 'duration': 1, 'demands': [0]}, {'task': 'T16', 'start': 20, 'end': 25, 'duration': 5, 'demands': [3]}, {'task': 'T17', 'start': 20, 'end': 34, 'duration': 14, 'demands': [2]}, {'task': 'T18', 'start': 34, 'end': 35, 'duration': 1, 'demands': [0]}]",31,json,names
RCPSP,RCPSP,"We’ve got a list of prep tasks for service: each one takes a fixed amount of time, uses some of the ovens and staff while it’s happening, and a few tasks only make sense after other tasks finish. The choice is simply about when to kick each task off so service can start sooner — measured by the moment the final prep completes, which we want to make as early as possible. At the same time, no oven or team member can be booked by more than one task at once, and every prep must be scheduled once in the right order. The actual task times and resource limits are shown below.
Below we list the 20 prep tasks, the 3 resource types, and the available units for each resource .
Prep T1 runs for 1 time units, requires 0, 0, 0 while running, and must finish before T3, T4 start.
Prep T2 runs for 3 time units, requires 3, 6, 2 while running, and must finish before T5, T6 start.
Prep T3 runs for 2 time units, requires 6, 7, 3 while running, and must finish before T5, T6 start.
Prep T4 runs for 1 time units, requires 6, 4, 2 while running, and must finish before T7, T8 start.
Prep T5 runs for 3 time units, requires 4, 1, 7 while running, and must finish before T11, T12 start.
Prep T6 runs for 9 time units, requires 3, 8, 4 while running, and must finish before T10 start.
Prep T7 runs for 3 time units, requires 2, 3, 4 while running, and must finish before T9 start.
Prep T8 runs for 9 time units, requires 4, 6, 8 while running, and must finish before T10, T11 start.
Prep T9 runs for 4 time units, requires 4, 4, 2 while running, and must finish before T13, T14 start.
Prep T10 runs for 6 time units, requires 5, 3, 3 while running, and must finish before T13 start.
Prep T11 runs for 1 time units, requires 3, 5, 4 while running, and must finish before none start.
Prep T12 runs for 2 time units, requires 5, 1, 4 while running, and must finish before T13 start.
Prep T13 runs for 1 time units, requires 1, 5, 7 while running, and must finish before T15, T17 start.
Prep T14 runs for 8 time units, requires 2, 9, 4 while running, and must finish before T15 start.
Prep T15 runs for 3 time units, requires 2, 3, 7 while running, and must finish before T18 start.
Prep T16 runs for 2 time units, requires 4, 2, 4 while running, and must finish before T18 start.
Prep T17 runs for 14 time units, requires 7, 3, 3 while running, and must finish before T18, T19 start.
Prep T18 runs for 2 time units, requires 2, 7, 11 while running, and must finish before T20 start.
Prep T19 runs for 1 time units, requires 1, 9, 4 while running, and must finish before T20 start.
Prep T20 runs for 1 time units, requires 0, 0, 0 while running, and must finish before none start.
We'll schedule the 20 preps respecting the resource limits so the last prep finishes as early as possible.
Also, when you send the schedule back, please use this simple JSON layout so it's easy to parse — nothing fancy, just that shape.
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
This little sketch shows the shape I expect: ""solution"" is a list of the scheduled preps; each entry names the task and the time it starts and finishes. Think of ""task"" as the task label from the instance, and ""start""/""end"" as the time (in the same units used in the instance) when that prep runs. It's just an example of the shape, not the actual schedule.
Please make sure to use the exact identifiers from the instance input — don't rename them or invent new labels. For example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""
Replace the placeholders with those real ids and numeric start/end times when you submit the actual schedule.","{'nr_tasks': 20, 'nr_resources': 3, 'capacities': [10, 13, 12], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [2, 3]}, {'duration': 3, 'demands': [3, 6, 2], 'successors': [4, 5]}, {'duration': 2, 'demands': [6, 7, 3], 'successors': [4, 5]}, {'duration': 1, 'demands': [6, 4, 2], 'successors': [6, 7]}, {'duration': 3, 'demands': [4, 1, 7], 'successors': [10, 11]}, {'duration': 9, 'demands': [3, 8, 4], 'successors': [9]}, {'duration': 3, 'demands': [2, 3, 4], 'successors': [8]}, {'duration': 9, 'demands': [4, 6, 8], 'successors': [9, 10]}, {'duration': 4, 'demands': [4, 4, 2], 'successors': [12, 13]}, {'duration': 6, 'demands': [5, 3, 3], 'successors': [12]}, {'duration': 1, 'demands': [3, 5, 4], 'successors': []}, {'duration': 2, 'demands': [5, 1, 4], 'successors': [12]}, {'duration': 1, 'demands': [1, 5, 7], 'successors': [14, 16]}, {'duration': 8, 'demands': [2, 9, 4], 'successors': [14]}, {'duration': 3, 'demands': [2, 3, 7], 'successors': [17]}, {'duration': 2, 'demands': [4, 2, 4], 'successors': [17]}, {'duration': 14, 'demands': [7, 3, 3], 'successors': [17, 18]}, {'duration': 2, 'demands': [2, 7, 11], 'successors': [19]}, {'duration': 1, 'demands': [1, 9, 4], 'successors': [19]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 0, 'end': 3, 'duration': 3, 'demands': [3, 6, 2]}, {'task': 2, 'start': 3, 'end': 5, 'duration': 2, 'demands': [6, 7, 3]}, {'task': 3, 'start': 1, 'end': 2, 'duration': 1, 'demands': [6, 4, 2]}, {'task': 4, 'start': 12, 'end': 15, 'duration': 3, 'demands': [4, 1, 7]}, {'task': 5, 'start': 11, 'end': 20, 'duration': 9, 'demands': [3, 8, 4]}, {'task': 6, 'start': 5, 'end': 8, 'duration': 3, 'demands': [2, 3, 4]}, {'task': 7, 'start': 2, 'end': 11, 'duration': 9, 'demands': [4, 6, 8]}, {'task': 8, 'start': 8, 'end': 12, 'duration': 4, 'demands': [4, 4, 2]}, {'task': 9, 'start': 20, 'end': 26, 'duration': 6, 'demands': [5, 3, 3]}, {'task': 10, 'start': 19, 'end': 20, 'duration': 1, 'demands': [3, 5, 4]}, {'task': 11, 'start': 15, 'end': 17, 'duration': 2, 'demands': [5, 1, 4]}, {'task': 12, 'start': 26, 'end': 27, 'duration': 1, 'demands': [1, 5, 7]}, {'task': 13, 'start': 27, 'end': 35, 'duration': 8, 'demands': [2, 9, 4]}, {'task': 14, 'start': 35, 'end': 38, 'duration': 3, 'demands': [2, 3, 7]}, {'task': 15, 'start': 17, 'end': 19, 'duration': 2, 'demands': [4, 2, 4]}, {'task': 16, 'start': 27, 'end': 41, 'duration': 14, 'demands': [7, 3, 3]}, {'task': 17, 'start': 41, 'end': 43, 'duration': 2, 'demands': [2, 7, 11]}, {'task': 18, 'start': 43, 'end': 44, 'duration': 1, 'demands': [1, 9, 4]}, {'task': 19, 'start': 44, 'end': 45, 'duration': 1, 'demands': [0, 0, 0]}]",45.0,"{'problem_type': 'RCPSP', 'nr_tasks': 20, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18', 'T19', 'T20'], 'resources': [1, 2, 3], 'resource_capacities': [{'resource_id': 1, 'capacity': 10}, {'resource_id': 2, 'capacity': 13}, {'resource_id': 3, 'capacity': 12}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T3', 'T4']}, {'task_id': 'T2', 'duration': 3, 'demands': [3, 6, 2], 'successors': ['T5', 'T6']}, {'task_id': 'T3', 'duration': 2, 'demands': [6, 7, 3], 'successors': ['T5', 'T6']}, {'task_id': 'T4', 'duration': 1, 'demands': [6, 4, 2], 'successors': ['T7', 'T8']}, {'task_id': 'T5', 'duration': 3, 'demands': [4, 1, 7], 'successors': ['T11', 'T12']}, {'task_id': 'T6', 'duration': 9, 'demands': [3, 8, 4], 'successors': ['T10']}, {'task_id': 'T7', 'duration': 3, 'demands': [2, 3, 4], 'successors': ['T9']}, {'task_id': 'T8', 'duration': 9, 'demands': [4, 6, 8], 'successors': ['T10', 'T11']}, {'task_id': 'T9', 'duration': 4, 'demands': [4, 4, 2], 'successors': ['T13', 'T14']}, {'task_id': 'T10', 'duration': 6, 'demands': [5, 3, 3], 'successors': ['T13']}, {'task_id': 'T11', 'duration': 1, 'demands': [3, 5, 4], 'successors': []}, {'task_id': 'T12', 'duration': 2, 'demands': [5, 1, 4], 'successors': ['T13']}, {'task_id': 'T13', 'duration': 1, 'demands': [1, 5, 7], 'successors': ['T15', 'T17']}, {'task_id': 'T14', 'duration': 8, 'demands': [2, 9, 4], 'successors': ['T15']}, {'task_id': 'T15', 'duration': 3, 'demands': [2, 3, 7], 'successors': ['T18']}, {'task_id': 'T16', 'duration': 2, 'demands': [4, 2, 4], 'successors': ['T18']}, {'task_id': 'T17', 'duration': 14, 'demands': [7, 3, 3], 'successors': ['T18', 'T19']}, {'task_id': 'T18', 'duration': 2, 'demands': [2, 7, 11], 'successors': ['T20']}, {'task_id': 'T19', 'duration': 1, 'demands': [1, 9, 4], 'successors': ['T20']}, {'task_id': 'T20', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 0, 'end': 3, 'duration': 3, 'demands': [3, 6, 2]}, {'task': 'T3', 'start': 3, 'end': 5, 'duration': 2, 'demands': [6, 7, 3]}, {'task': 'T4', 'start': 1, 'end': 2, 'duration': 1, 'demands': [6, 4, 2]}, {'task': 'T5', 'start': 12, 'end': 15, 'duration': 3, 'demands': [4, 1, 7]}, {'task': 'T6', 'start': 11, 'end': 20, 'duration': 9, 'demands': [3, 8, 4]}, {'task': 'T7', 'start': 5, 'end': 8, 'duration': 3, 'demands': [2, 3, 4]}, {'task': 'T8', 'start': 2, 'end': 11, 'duration': 9, 'demands': [4, 6, 8]}, {'task': 'T9', 'start': 8, 'end': 12, 'duration': 4, 'demands': [4, 4, 2]}, {'task': 'T10', 'start': 20, 'end': 26, 'duration': 6, 'demands': [5, 3, 3]}, {'task': 'T11', 'start': 19, 'end': 20, 'duration': 1, 'demands': [3, 5, 4]}, {'task': 'T12', 'start': 15, 'end': 17, 'duration': 2, 'demands': [5, 1, 4]}, {'task': 'T13', 'start': 26, 'end': 27, 'duration': 1, 'demands': [1, 5, 7]}, {'task': 'T14', 'start': 27, 'end': 35, 'duration': 8, 'demands': [2, 9, 4]}, {'task': 'T15', 'start': 35, 'end': 38, 'duration': 3, 'demands': [2, 3, 7]}, {'task': 'T16', 'start': 17, 'end': 19, 'duration': 2, 'demands': [4, 2, 4]}, {'task': 'T17', 'start': 27, 'end': 41, 'duration': 14, 'demands': [7, 3, 3]}, {'task': 'T18', 'start': 41, 'end': 43, 'duration': 2, 'demands': [2, 7, 11]}, {'task': 'T19', 'start': 43, 'end': 44, 'duration': 1, 'demands': [1, 9, 4]}, {'task': 'T20', 'start': 44, 'end': 45, 'duration': 1, 'demands': [0, 0, 0]}]",32,nl,1
RCPSP,RCPSP,"I picture the ground crew racing the clock: fuel, catering, cleaning and checks all have set lengths, a handful of trucks and people to go around, and some jobs that can’t start until others are done. The job here is to pick a start time for every ground task so that nothing is missed or done twice, no piece of equipment or staff is overbooked, and the plane can push back as soon as possible. The plane’s departure time is simply the moment the last required task wraps up, so the goal is to make that finishing moment as early as it can be. The exact list of activities, who’s available and how long each takes will be shown below.
Below are the 20 ground activities, the 1 resource types, and their capacities .
| resource_id | capacity |
|---|---|
| 0 | 9 |
| activity_id | activity_duration | resource_demands | successor_activity_ids |
|---|---|---|---|
| T1 | 1 | 0 | T2, T3, T4, T5, T6 |
| T2 | 1 | 5 | T17 |
| T3 | 4 | 2 | T7, T8 |
| T4 | 6 | 2 | T9, T13, T14 |
| T5 | 5 | 9 | T10, T12 |
| T6 | 5 | 1 | T11 |
| T7 | 6 | 1 | T17 |
| T8 | 1 | 0 | T9, T13, T14 |
| T9 | 5 | 2 | T12 |
| T10 | 6 | 3 | none |
| T11 | 7 | 6 | T18 |
| T12 | 2 | 1 | T15 |
| T13 | 10 | 7 | T15, T16 |
| T14 | 2 | 3 | T17 |
| T15 | 1 | 0 | none |
| T16 | 5 | 2 | T18 |
| T17 | 12 | 4 | T18 |
| T18 | 1 | 0 | none |
| T19 | 5 | 1 | none |
| T20 | 10 | 3 | none |
I’ll use these details to assign start times so no equipment or staff is overbooked and the plane can push back as soon as possible.
When you send the schedule back, just use this simple JSON layout so it's easy to parse and check.
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
This just means: ""solution"" is a list of scheduled activities; each item names the task, when it starts and when it finishes. Think of it like filling out a little form for every ground task — task is the task's id, start and end are the times (same time units as the instance). This snippet is only a sketch of the shape I need, not the actual completed schedule.
Please use the exact task identifiers from the instance input — do not rename them or invent new labels. Valid identifiers look like plain numbers such as “1” or “23”
- single capital letters like “A” or “B”
- or a capital letter followed by digits like “A1” or “X7”.","{'nr_tasks': 20, 'nr_resources': 1, 'capacities': [9], 'tasks': [{'duration': 1, 'demands': [0], 'successors': [1, 2, 3, 4, 5]}, {'duration': 1, 'demands': [5], 'successors': [16]}, {'duration': 4, 'demands': [2], 'successors': [6, 7]}, {'duration': 6, 'demands': [2], 'successors': [8, 12, 13]}, {'duration': 5, 'demands': [9], 'successors': [9, 11]}, {'duration': 5, 'demands': [1], 'successors': [10]}, {'duration': 6, 'demands': [1], 'successors': [16]}, {'duration': 1, 'demands': [0], 'successors': [8, 12, 13]}, {'duration': 5, 'demands': [2], 'successors': [11]}, {'duration': 6, 'demands': [3], 'successors': []}, {'duration': 7, 'demands': [6], 'successors': [17]}, {'duration': 2, 'demands': [1], 'successors': [14]}, {'duration': 10, 'demands': [7], 'successors': [14, 15]}, {'duration': 2, 'demands': [3], 'successors': [16]}, {'duration': 1, 'demands': [0], 'successors': []}, {'duration': 5, 'demands': [2], 'successors': [17]}, {'duration': 12, 'demands': [4], 'successors': [17]}, {'duration': 1, 'demands': [0], 'successors': []}, {'duration': 5, 'demands': [1], 'successors': []}, {'duration': 10, 'demands': [3], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0]}, {'task': 1, 'start': 5, 'end': 6, 'duration': 1, 'demands': [5]}, {'task': 2, 'start': 1, 'end': 5, 'duration': 4, 'demands': [2]}, {'task': 3, 'start': 1, 'end': 7, 'duration': 6, 'demands': [2]}, {'task': 4, 'start': 17, 'end': 22, 'duration': 5, 'demands': [9]}, {'task': 5, 'start': 1, 'end': 6, 'duration': 5, 'demands': [1]}, {'task': 6, 'start': 5, 'end': 11, 'duration': 6, 'demands': [1]}, {'task': 7, 'start': 6, 'end': 7, 'duration': 1, 'demands': [0]}, {'task': 8, 'start': 11, 'end': 16, 'duration': 5, 'demands': [2]}, {'task': 9, 'start': 36, 'end': 42, 'duration': 6, 'demands': [3]}, {'task': 10, 'start': 22, 'end': 29, 'duration': 7, 'demands': [6]}, {'task': 11, 'start': 22, 'end': 24, 'duration': 2, 'demands': [1]}, {'task': 12, 'start': 7, 'end': 17, 'duration': 10, 'demands': [7]}, {'task': 13, 'start': 24, 'end': 26, 'duration': 2, 'demands': [3]}, {'task': 14, 'start': 24, 'end': 25, 'duration': 1, 'demands': [0]}, {'task': 15, 'start': 29, 'end': 34, 'duration': 5, 'demands': [2]}, {'task': 16, 'start': 29, 'end': 41, 'duration': 12, 'demands': [4]}, {'task': 17, 'start': 41, 'end': 42, 'duration': 1, 'demands': [0]}, {'task': 18, 'start': 0, 'end': 5, 'duration': 5, 'demands': [1]}, {'task': 19, 'start': 26, 'end': 36, 'duration': 10, 'demands': [3]}]",42.0,"{'problem_type': 'RCPSP', 'nr_tasks': 20, 'nr_resources': 1, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18', 'T19', 'T20'], 'resources': [0], 'resource_capacities': [{'resource_id': 0, 'capacity': 9}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0], 'successors': ['T2', 'T3', 'T4', 'T5', 'T6']}, {'task_id': 'T2', 'duration': 1, 'demands': [5], 'successors': ['T17']}, {'task_id': 'T3', 'duration': 4, 'demands': [2], 'successors': ['T7', 'T8']}, {'task_id': 'T4', 'duration': 6, 'demands': [2], 'successors': ['T9', 'T13', 'T14']}, {'task_id': 'T5', 'duration': 5, 'demands': [9], 'successors': ['T10', 'T12']}, {'task_id': 'T6', 'duration': 5, 'demands': [1], 'successors': ['T11']}, {'task_id': 'T7', 'duration': 6, 'demands': [1], 'successors': ['T17']}, {'task_id': 'T8', 'duration': 1, 'demands': [0], 'successors': ['T9', 'T13', 'T14']}, {'task_id': 'T9', 'duration': 5, 'demands': [2], 'successors': ['T12']}, {'task_id': 'T10', 'duration': 6, 'demands': [3], 'successors': []}, {'task_id': 'T11', 'duration': 7, 'demands': [6], 'successors': ['T18']}, {'task_id': 'T12', 'duration': 2, 'demands': [1], 'successors': ['T15']}, {'task_id': 'T13', 'duration': 10, 'demands': [7], 'successors': ['T15', 'T16']}, {'task_id': 'T14', 'duration': 2, 'demands': [3], 'successors': ['T17']}, {'task_id': 'T15', 'duration': 1, 'demands': [0], 'successors': []}, {'task_id': 'T16', 'duration': 5, 'demands': [2], 'successors': ['T18']}, {'task_id': 'T17', 'duration': 12, 'demands': [4], 'successors': ['T18']}, {'task_id': 'T18', 'duration': 1, 'demands': [0], 'successors': []}, {'task_id': 'T19', 'duration': 5, 'demands': [1], 'successors': []}, {'task_id': 'T20', 'duration': 10, 'demands': [3], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0]}, {'task': 'T2', 'start': 5, 'end': 6, 'duration': 1, 'demands': [5]}, {'task': 'T3', 'start': 1, 'end': 5, 'duration': 4, 'demands': [2]}, {'task': 'T4', 'start': 1, 'end': 7, 'duration': 6, 'demands': [2]}, {'task': 'T5', 'start': 17, 'end': 22, 'duration': 5, 'demands': [9]}, {'task': 'T6', 'start': 1, 'end': 6, 'duration': 5, 'demands': [1]}, {'task': 'T7', 'start': 5, 'end': 11, 'duration': 6, 'demands': [1]}, {'task': 'T8', 'start': 6, 'end': 7, 'duration': 1, 'demands': [0]}, {'task': 'T9', 'start': 11, 'end': 16, 'duration': 5, 'demands': [2]}, {'task': 'T10', 'start': 36, 'end': 42, 'duration': 6, 'demands': [3]}, {'task': 'T11', 'start': 22, 'end': 29, 'duration': 7, 'demands': [6]}, {'task': 'T12', 'start': 22, 'end': 24, 'duration': 2, 'demands': [1]}, {'task': 'T13', 'start': 7, 'end': 17, 'duration': 10, 'demands': [7]}, {'task': 'T14', 'start': 24, 'end': 26, 'duration': 2, 'demands': [3]}, {'task': 'T15', 'start': 24, 'end': 25, 'duration': 1, 'demands': [0]}, {'task': 'T16', 'start': 29, 'end': 34, 'duration': 5, 'demands': [2]}, {'task': 'T17', 'start': 29, 'end': 41, 'duration': 12, 'demands': [4]}, {'task': 'T18', 'start': 41, 'end': 42, 'duration': 1, 'demands': [0]}, {'task': 'T19', 'start': 0, 'end': 5, 'duration': 5, 'demands': [1]}, {'task': 'T20', 'start': 26, 'end': 36, 'duration': 10, 'demands': [3]}]",33,markdown_table,0
RCPSP,RCPSP,"There’s a busy day at the printing house: a chain of production steps that all must happen, each taking a fixed stretch of time and grabbing some of the editors or a press while it’s active. The job is to set start times for each step so the entire run ends as soon as possible — the final completion moment is just the time the last step wraps up (check each step’s start plus its duration and take the latest). Certain steps can’t be started until others finish, and at no point can the team or presses in use exceed the shop’s available crew and machines. Every step must be carried out once, no skipping or repeating, and the detailed list of tasks and resource limits appears below.
{
""total_production_steps"": 21,
""num_resource_types"": 3,
""resources"": [
""A"",
""B"",
""C""
],
""resource_capacities"": [
{
""resource_id"": ""A"",
""capacity"": 11
},
{
""resource_id"": ""B"",
""capacity"": 11
},
{
""resource_id"": ""C"",
""capacity"": 9
}
],
""tasks"": [
{
""step_id"": ""T1"",
""step_duration"": 1,
""resource_demands"": [
0,
0,
0
],
""successor_steps"": [
""T2"",
""T3"",
""T4""
]
},
{
""step_id"": ""T2"",
""step_duration"": 5,
""resource_demands"": [
6,
9,
3
],
""successor_steps"": [
""T5""
]
},
{
""step_id"": ""T3"",
""step_duration"": 4,
""resource_demands"": [
9,
3,
5
],
""successor_steps"": [
""T5"",
""T7"",
""T8""
]
},
{
""step_id"": ""T4"",
""step_duration"": 2,
""resource_demands"": [
8,
2,
3
],
""successor_steps"": [
""T5"",
""T6""
]
},
{
""step_id"": ""T5"",
""step_duration"": 9,
""resource_demands"": [
6,
1,
4
],
""successor_steps"": [
""T9"",
""T10""
]
},
{
""step_id"": ""T6"",
""step_duration"": 3,
""resource_demands"": [
7,
8,
8
],
""successor_steps"": [
""T9""
]
},
{
""step_id"": ""T7"",
""step_duration"": 2,
""resource_demands"": [
2,
4,
2
],
""successor_steps"": [
""T10""
]
},
{
""step_id"": ""T8"",
""step_duration"": 6,
""resource_demands"": [
3,
2,
8
],
""successor_steps"": [
""T9"",
""T10""
]
},
{
""step_id"": ""T9"",
""step_duration"": 3,
""resource_demands"": [
3,
3,
4
],
""successor_steps"": []
},
{
""step_id"": ""T10"",
""step_duration"": 5,
""resource_demands"": [
4,
4,
2
],
""successor_steps"": [
""T11""
]
},
{
""step_id"": ""T11"",
""step_duration"": 3,
""resource_demands"": [
1,
4,
4
],
""successor_steps"": []
},
{
""step_id"": ""T12"",
""step_duration"": 2,
""resource_demands"": [
3,
4,
8
],
""successor_steps"": [
""T15"",
""T16""
]
},
{
""step_id"": ""T13"",
""step_duration"": 1,
""resource_demands"": [
5,
2,
3
],
""successor_steps"": [
""T15""
]
},
{
""step_id"": ""T14"",
""step_duration"": 4,
""resource_demands"": [
4,
4,
4
],
""successor_steps"": [
""T15""
]
},
{
""step_id"": ""T15"",
""step_duration"": 2,
""resource_demands"": [
1,
8,
2
],
""successor_steps"": [
""T20""
]
},
{
""step_id"": ""T16"",
""step_duration"": 5,
""resource_demands"": [
4,
2,
1
],
""successor_steps"": []
},
{
""step_id"": ""T17"",
""step_duration"": 2,
""resource_demands"": [
2,
0,
6
],
""successor_steps"": [
""T19""
]
},
{
""step_id"": ""T18"",
""step_duration"": 1,
""resource_demands"": [
1,
2,
1
],
""successor_steps"": [
""T20""
]
},
{
""step_id"": ""T19"",
""step_duration"": 2,
""resource_demands"": [
0,
1,
5
],
""successor_steps"": [
""T21""
]
},
{
""step_id"": ""T20"",
""step_duration"": 4,
""resource_demands"": [
1,
1,
2
],
""successor_steps"": [
""T21""
]
},
{
""step_id"": ""T21"",
""step_duration"": 1,
""resource_demands"": [
0,
0,
0
],
""successor_steps"": []
}
]
}
When you send back the schedule, just use a tiny JSON snippet so it's easy to parse—nothing fancy, just the shape below.
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
Think of that like a short form: ""solution"" holds a list of the steps, and each step says which task it is and when it starts and finishes. Keep it simple — task is the task identifier, start is the start time, and end is the end time. This block is just a sketch of the expected shape, not the actual schedule.
Please use the exact identifiers from the instance input — do not rename them or invent new ones. Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'nr_tasks': 21, 'nr_resources': 3, 'capacities': [11, 11, 9], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2, 3]}, {'duration': 5, 'demands': [6, 9, 3], 'successors': [4]}, {'duration': 4, 'demands': [9, 3, 5], 'successors': [4, 6, 7]}, {'duration': 2, 'demands': [8, 2, 3], 'successors': [4, 5]}, {'duration': 9, 'demands': [6, 1, 4], 'successors': [8, 9]}, {'duration': 3, 'demands': [7, 8, 8], 'successors': [8]}, {'duration': 2, 'demands': [2, 4, 2], 'successors': [9]}, {'duration': 6, 'demands': [3, 2, 8], 'successors': [8, 9]}, {'duration': 3, 'demands': [3, 3, 4], 'successors': []}, {'duration': 5, 'demands': [4, 4, 2], 'successors': [10]}, {'duration': 3, 'demands': [1, 4, 4], 'successors': []}, {'duration': 2, 'demands': [3, 4, 8], 'successors': [14, 15]}, {'duration': 1, 'demands': [5, 2, 3], 'successors': [14]}, {'duration': 4, 'demands': [4, 4, 4], 'successors': [14]}, {'duration': 2, 'demands': [1, 8, 2], 'successors': [19]}, {'duration': 5, 'demands': [4, 2, 1], 'successors': []}, {'duration': 2, 'demands': [2, 0, 6], 'successors': [18]}, {'duration': 1, 'demands': [1, 2, 1], 'successors': [19]}, {'duration': 2, 'demands': [0, 1, 5], 'successors': [20]}, {'duration': 4, 'demands': [1, 1, 2], 'successors': [20]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 14, 'end': 19, 'duration': 5, 'demands': [6, 9, 3]}, {'task': 2, 'start': 2, 'end': 6, 'duration': 4, 'demands': [9, 3, 5]}, {'task': 3, 'start': 12, 'end': 14, 'duration': 2, 'demands': [8, 2, 3]}, {'task': 4, 'start': 22, 'end': 31, 'duration': 9, 'demands': [6, 1, 4]}, {'task': 5, 'start': 19, 'end': 22, 'duration': 3, 'demands': [7, 8, 8]}, {'task': 6, 'start': 22, 'end': 24, 'duration': 2, 'demands': [2, 4, 2]}, {'task': 7, 'start': 6, 'end': 12, 'duration': 6, 'demands': [3, 2, 8]}, {'task': 8, 'start': 35, 'end': 38, 'duration': 3, 'demands': [3, 3, 4]}, {'task': 9, 'start': 31, 'end': 36, 'duration': 5, 'demands': [4, 4, 2]}, {'task': 10, 'start': 36, 'end': 39, 'duration': 3, 'demands': [1, 4, 4]}, {'task': 11, 'start': 0, 'end': 2, 'duration': 2, 'demands': [3, 4, 8]}, {'task': 12, 'start': 14, 'end': 15, 'duration': 1, 'demands': [5, 2, 3]}, {'task': 13, 'start': 24, 'end': 28, 'duration': 4, 'demands': [4, 4, 4]}, {'task': 14, 'start': 28, 'end': 30, 'duration': 2, 'demands': [1, 8, 2]}, {'task': 15, 'start': 34, 'end': 39, 'duration': 5, 'demands': [4, 2, 1]}, {'task': 16, 'start': 12, 'end': 14, 'duration': 2, 'demands': [2, 0, 6]}, {'task': 17, 'start': 1, 'end': 2, 'duration': 1, 'demands': [1, 2, 1]}, {'task': 18, 'start': 33, 'end': 35, 'duration': 2, 'demands': [0, 1, 5]}, {'task': 19, 'start': 30, 'end': 34, 'duration': 4, 'demands': [1, 1, 2]}, {'task': 20, 'start': 35, 'end': 36, 'duration': 1, 'demands': [0, 0, 0]}]",39.0,"{'problem_type': 'RCPSP', 'nr_tasks': 21, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18', 'T19', 'T20', 'T21'], 'resources': ['A', 'B', 'C'], 'resource_capacities': [{'resource_id': 'A', 'capacity': 11}, {'resource_id': 'B', 'capacity': 11}, {'resource_id': 'C', 'capacity': 9}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3', 'T4']}, {'task_id': 'T2', 'duration': 5, 'demands': [6, 9, 3], 'successors': ['T5']}, {'task_id': 'T3', 'duration': 4, 'demands': [9, 3, 5], 'successors': ['T5', 'T7', 'T8']}, {'task_id': 'T4', 'duration': 2, 'demands': [8, 2, 3], 'successors': ['T5', 'T6']}, {'task_id': 'T5', 'duration': 9, 'demands': [6, 1, 4], 'successors': ['T9', 'T10']}, {'task_id': 'T6', 'duration': 3, 'demands': [7, 8, 8], 'successors': ['T9']}, {'task_id': 'T7', 'duration': 2, 'demands': [2, 4, 2], 'successors': ['T10']}, {'task_id': 'T8', 'duration': 6, 'demands': [3, 2, 8], 'successors': ['T9', 'T10']}, {'task_id': 'T9', 'duration': 3, 'demands': [3, 3, 4], 'successors': []}, {'task_id': 'T10', 'duration': 5, 'demands': [4, 4, 2], 'successors': ['T11']}, {'task_id': 'T11', 'duration': 3, 'demands': [1, 4, 4], 'successors': []}, {'task_id': 'T12', 'duration': 2, 'demands': [3, 4, 8], 'successors': ['T15', 'T16']}, {'task_id': 'T13', 'duration': 1, 'demands': [5, 2, 3], 'successors': ['T15']}, {'task_id': 'T14', 'duration': 4, 'demands': [4, 4, 4], 'successors': ['T15']}, {'task_id': 'T15', 'duration': 2, 'demands': [1, 8, 2], 'successors': ['T20']}, {'task_id': 'T16', 'duration': 5, 'demands': [4, 2, 1], 'successors': []}, {'task_id': 'T17', 'duration': 2, 'demands': [2, 0, 6], 'successors': ['T19']}, {'task_id': 'T18', 'duration': 1, 'demands': [1, 2, 1], 'successors': ['T20']}, {'task_id': 'T19', 'duration': 2, 'demands': [0, 1, 5], 'successors': ['T21']}, {'task_id': 'T20', 'duration': 4, 'demands': [1, 1, 2], 'successors': ['T21']}, {'task_id': 'T21', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 14, 'end': 19, 'duration': 5, 'demands': [6, 9, 3]}, {'task': 'T3', 'start': 2, 'end': 6, 'duration': 4, 'demands': [9, 3, 5]}, {'task': 'T4', 'start': 12, 'end': 14, 'duration': 2, 'demands': [8, 2, 3]}, {'task': 'T5', 'start': 22, 'end': 31, 'duration': 9, 'demands': [6, 1, 4]}, {'task': 'T6', 'start': 19, 'end': 22, 'duration': 3, 'demands': [7, 8, 8]}, {'task': 'T7', 'start': 22, 'end': 24, 'duration': 2, 'demands': [2, 4, 2]}, {'task': 'T8', 'start': 6, 'end': 12, 'duration': 6, 'demands': [3, 2, 8]}, {'task': 'T9', 'start': 35, 'end': 38, 'duration': 3, 'demands': [3, 3, 4]}, {'task': 'T10', 'start': 31, 'end': 36, 'duration': 5, 'demands': [4, 4, 2]}, {'task': 'T11', 'start': 36, 'end': 39, 'duration': 3, 'demands': [1, 4, 4]}, {'task': 'T12', 'start': 0, 'end': 2, 'duration': 2, 'demands': [3, 4, 8]}, {'task': 'T13', 'start': 14, 'end': 15, 'duration': 1, 'demands': [5, 2, 3]}, {'task': 'T14', 'start': 24, 'end': 28, 'duration': 4, 'demands': [4, 4, 4]}, {'task': 'T15', 'start': 28, 'end': 30, 'duration': 2, 'demands': [1, 8, 2]}, {'task': 'T16', 'start': 34, 'end': 39, 'duration': 5, 'demands': [4, 2, 1]}, {'task': 'T17', 'start': 12, 'end': 14, 'duration': 2, 'demands': [2, 0, 6]}, {'task': 'T18', 'start': 1, 'end': 2, 'duration': 1, 'demands': [1, 2, 1]}, {'task': 'T19', 'start': 33, 'end': 35, 'duration': 2, 'demands': [0, 1, 5]}, {'task': 'T20', 'start': 30, 'end': 34, 'duration': 4, 'demands': [1, 1, 2]}, {'task': 'T21', 'start': 35, 'end': 36, 'duration': 1, 'demands': [0, 0, 0]}]",34,json,names
RCPSP,RCPSP,"We have a little production to plan: several shoots and follow-up edits that must be slotted into a tight timetable. The decision to make is when each shoot and edit should start so the campaign finishes at the earliest possible moment — that finishing moment is just the end time of the last activity, so the goal is to make that end time as small as possible. Each item has a fixed runtime, eats up studio time or an editor while it’s happening, and some jobs can only begin after others finish. All activities must be included exactly once and resources can’t be overbooked. The exact durations, resource availability and task orderings are listed below.
There are 16 activities, 3 resource types, and resource capacities .
| resource_id | capacity |
|---|---|
| A | 14 |
| B | 11 |
| C | 13 |
| activity_id | duration_time_units | resource_demand_vector | immediate_successor_ids |
|---|---|---|---|
| T1 | 10 | 3, 2, 4 | T2, T3, T5 |
| T2 | 5 | 4, 1, 5 | T6, T7 |
| T3 | 1 | 7, 9, 3 | T7, T8, T15, T14, T2 |
| T4 | 5 | 6, 7, 3 | T7, T8, T16 |
| T5 | 3 | 3, 7, 5 | T7, T8 |
| T6 | 4 | 2, 3, 2 | T9, T10, T11, T8 |
| T7 | 4 | 4, 4, 4 | none |
| T8 | 4 | 2, 2, 3 | T9 |
| T9 | 3 | 1, 6, 6 | T13 |
| T10 | 2 | 4, 6, 4 | T12, T14, T7 |
| T11 | 1 | 1, 4, 8 | T12, T8 |
| T12 | 14 | 5, 8, 2 | T15 |
| T13 | 2 | 4, 3, 4 | none |
| T14 | 1 | 9, 6, 5 | T15 |
| T15 | 2 | 2, 4, 2 | T16 |
| T16 | 2 | 0, 1, 3 | T9 |
Include every activity exactly once so we can assign start times and minimize the campaign's finish time.
Also, when you send the schedule back, please use this simple JSON shape so everything lines up with the rest of the workflow:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
Think of it like a little form: ""solution"" holds a list of all the activities, and each activity entry just names the task and gives its start and end times. Keep the task identifier exactly as it appears in the instance, and use the same time units the instance uses (so the numbers line up with the durations you were given). This JSON is just a sketch of the shape I need, not the actual scheduled times.
Please make sure all task identifiers are used exactly as they appear in the instance input — do not rename them or invent new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'nr_tasks': 16, 'nr_resources': 3, 'capacities': [14, 11, 13], 'tasks': [{'duration': 10, 'demands': [3, 2, 4], 'successors': [1, 2, 4]}, {'duration': 5, 'demands': [4, 1, 5], 'successors': [5, 6]}, {'duration': 1, 'demands': [7, 9, 3], 'successors': [6, 7, 14, 13, 1]}, {'duration': 5, 'demands': [6, 7, 3], 'successors': [6, 7, 15]}, {'duration': 3, 'demands': [3, 7, 5], 'successors': [6, 7]}, {'duration': 4, 'demands': [2, 3, 2], 'successors': [8, 9, 10, 7]}, {'duration': 4, 'demands': [4, 4, 4], 'successors': []}, {'duration': 4, 'demands': [2, 2, 3], 'successors': [8]}, {'duration': 3, 'demands': [1, 6, 6], 'successors': [12]}, {'duration': 2, 'demands': [4, 6, 4], 'successors': [11, 13, 6]}, {'duration': 1, 'demands': [1, 4, 8], 'successors': [11, 7]}, {'duration': 14, 'demands': [5, 8, 2], 'successors': [14]}, {'duration': 2, 'demands': [4, 3, 4], 'successors': []}, {'duration': 1, 'demands': [9, 6, 5], 'successors': [14]}, {'duration': 2, 'demands': [2, 4, 2], 'successors': [15]}, {'duration': 2, 'demands': [0, 1, 3], 'successors': [8]}]}","[{'task': 0, 'start': 0, 'end': 10, 'duration': 10, 'demands': [3, 2, 4]}, {'task': 1, 'start': 11, 'end': 16, 'duration': 5, 'demands': [4, 1, 5]}, {'task': 2, 'start': 10, 'end': 11, 'duration': 1, 'demands': [7, 9, 3]}, {'task': 3, 'start': 0, 'end': 5, 'duration': 5, 'demands': [6, 7, 3]}, {'task': 4, 'start': 11, 'end': 14, 'duration': 3, 'demands': [3, 7, 5]}, {'task': 5, 'start': 16, 'end': 20, 'duration': 4, 'demands': [2, 3, 2]}, {'task': 6, 'start': 36, 'end': 40, 'duration': 4, 'demands': [4, 4, 4]}, {'task': 7, 'start': 21, 'end': 25, 'duration': 4, 'demands': [2, 2, 3]}, {'task': 8, 'start': 41, 'end': 44, 'duration': 3, 'demands': [1, 6, 6]}, {'task': 9, 'start': 20, 'end': 22, 'duration': 2, 'demands': [4, 6, 4]}, {'task': 10, 'start': 20, 'end': 21, 'duration': 1, 'demands': [1, 4, 8]}, {'task': 11, 'start': 22, 'end': 36, 'duration': 14, 'demands': [5, 8, 2]}, {'task': 12, 'start': 44, 'end': 46, 'duration': 2, 'demands': [4, 3, 4]}, {'task': 13, 'start': 36, 'end': 37, 'duration': 1, 'demands': [9, 6, 5]}, {'task': 14, 'start': 37, 'end': 39, 'duration': 2, 'demands': [2, 4, 2]}, {'task': 15, 'start': 39, 'end': 41, 'duration': 2, 'demands': [0, 1, 3]}]",46.0,"{'problem_type': 'RCPSP', 'nr_tasks': 16, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16'], 'resources': ['A', 'B', 'C'], 'resource_capacities': [{'resource_id': 'A', 'capacity': 14}, {'resource_id': 'B', 'capacity': 11}, {'resource_id': 'C', 'capacity': 13}], 'task_records': [{'task_id': 'T1', 'duration': 10, 'demands': [3, 2, 4], 'successors': ['T2', 'T3', 'T5']}, {'task_id': 'T2', 'duration': 5, 'demands': [4, 1, 5], 'successors': ['T6', 'T7']}, {'task_id': 'T3', 'duration': 1, 'demands': [7, 9, 3], 'successors': ['T7', 'T8', 'T15', 'T14', 'T2']}, {'task_id': 'T4', 'duration': 5, 'demands': [6, 7, 3], 'successors': ['T7', 'T8', 'T16']}, {'task_id': 'T5', 'duration': 3, 'demands': [3, 7, 5], 'successors': ['T7', 'T8']}, {'task_id': 'T6', 'duration': 4, 'demands': [2, 3, 2], 'successors': ['T9', 'T10', 'T11', 'T8']}, {'task_id': 'T7', 'duration': 4, 'demands': [4, 4, 4], 'successors': []}, {'task_id': 'T8', 'duration': 4, 'demands': [2, 2, 3], 'successors': ['T9']}, {'task_id': 'T9', 'duration': 3, 'demands': [1, 6, 6], 'successors': ['T13']}, {'task_id': 'T10', 'duration': 2, 'demands': [4, 6, 4], 'successors': ['T12', 'T14', 'T7']}, {'task_id': 'T11', 'duration': 1, 'demands': [1, 4, 8], 'successors': ['T12', 'T8']}, {'task_id': 'T12', 'duration': 14, 'demands': [5, 8, 2], 'successors': ['T15']}, {'task_id': 'T13', 'duration': 2, 'demands': [4, 3, 4], 'successors': []}, {'task_id': 'T14', 'duration': 1, 'demands': [9, 6, 5], 'successors': ['T15']}, {'task_id': 'T15', 'duration': 2, 'demands': [2, 4, 2], 'successors': ['T16']}, {'task_id': 'T16', 'duration': 2, 'demands': [0, 1, 3], 'successors': ['T9']}]}","[{'task': 'T1', 'start': 0, 'end': 10, 'duration': 10, 'demands': [3, 2, 4]}, {'task': 'T2', 'start': 11, 'end': 16, 'duration': 5, 'demands': [4, 1, 5]}, {'task': 'T3', 'start': 10, 'end': 11, 'duration': 1, 'demands': [7, 9, 3]}, {'task': 'T4', 'start': 0, 'end': 5, 'duration': 5, 'demands': [6, 7, 3]}, {'task': 'T5', 'start': 11, 'end': 14, 'duration': 3, 'demands': [3, 7, 5]}, {'task': 'T6', 'start': 16, 'end': 20, 'duration': 4, 'demands': [2, 3, 2]}, {'task': 'T7', 'start': 36, 'end': 40, 'duration': 4, 'demands': [4, 4, 4]}, {'task': 'T8', 'start': 21, 'end': 25, 'duration': 4, 'demands': [2, 2, 3]}, {'task': 'T9', 'start': 41, 'end': 44, 'duration': 3, 'demands': [1, 6, 6]}, {'task': 'T10', 'start': 20, 'end': 22, 'duration': 2, 'demands': [4, 6, 4]}, {'task': 'T11', 'start': 20, 'end': 21, 'duration': 1, 'demands': [1, 4, 8]}, {'task': 'T12', 'start': 22, 'end': 36, 'duration': 14, 'demands': [5, 8, 2]}, {'task': 'T13', 'start': 44, 'end': 46, 'duration': 2, 'demands': [4, 3, 4]}, {'task': 'T14', 'start': 36, 'end': 37, 'duration': 1, 'demands': [9, 6, 5]}, {'task': 'T15', 'start': 37, 'end': 39, 'duration': 2, 'demands': [2, 4, 2]}, {'task': 'T16', 'start': 39, 'end': 41, 'duration': 2, 'demands': [0, 1, 3]}]",35,markdown_table,names
RCPSP,RCPSP,"In our facilities office the morning briefing sounded like a timing game: each room setup takes a set amount of time, ties up a certain number of custodians and pieces of equipment while it’s underway, and some setups can’t start until others are wrapped. The planner’s choice is which minute each setup begins so that, given the limited staff and gear, every room ends up ready as early as possible. You judge a plan by the finish times — pick the latest finish among all setups and that’s when the entire job is done; sooner is better. Must-haves are straightforward: schedule every setup exactly once, never use more resources at the same time than exist, and follow any “after this” ordering rules. The specific list of setups, their durations, and the resource limits follow below.
Here they are: 17 setups, 3 resource types, capacities .
Setup T1 runs 1 minutes, ties up 0, 0, 0 while active, and must finish before T2, T3, T4 can start.
Setup T2 runs 9 minutes, ties up 4, 7, 1 while active, and must finish before T5, T6 can start.
Setup T3 runs 3 minutes, ties up 6, 7, 2 while active, and must finish before T5, T6 can start.
Setup T4 runs 2 minutes, ties up 4, 3, 3 while active, and must finish before T5, T6, T7, T8 can start.
Setup T5 runs 2 minutes, ties up 3, 1, 3 while active, and must finish before T9, T10 can start.
Setup T6 runs 8 minutes, ties up 7, 4, 3 while active, and must finish before T9, T5 can start.
Setup T7 runs 1 minutes, ties up 2, 7, 2 while active, and must finish before T9, T11 can start.
Setup T8 runs 5 minutes, ties up 1, 7, 8 while active, and must finish before T10, T11 can start.
Setup T9 runs 6 minutes, ties up 5, 4, 1 while active, and must finish before T12, T13 can start.
Setup T10 runs 2 minutes, ties up 2, 3, 5 while active, and must finish before none can start.
Setup T11 runs 3 minutes, ties up 4, 5, 3 while active, and must finish before T12 can start.
Setup T12 runs 4 minutes, ties up 2, 8, 5 while active, and must finish before T14 can start.
Setup T13 runs 1 minutes, ties up 2, 3, 3 while active, and must finish before T14 can start.
Setup T14 runs 10 minutes, ties up 7, 8, 2 while active, and must finish before T16 can start.
Setup T15 runs 4 minutes, ties up 5, 1, 3 while active, and must finish before T16 can start.
Setup T16 runs 2 minutes, ties up 3, 2, 7 while active, and must finish before T17 can start.
Setup T17 runs 1 minutes, ties up 0, 0, 0 while active, and must finish before none can start.
Keep those capacities and must-follow relations in mind as you pick start minutes so the last finish is as early as possible.
When you send the schedule back, please use a small JSON sketch like this so it's easy to read and check:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
This just shows a list called ""solution"" where each entry names a setup (the task), and the minute it starts and the minute it finishes. Super simple — think of ""task"" as the setup identifier from the briefing, and ""start"" / ""end"" as whole-minute times.
This is only the shape I expect, not the actual schedule — fill in one object per setup from the instance.
Please use the exact identifiers from the instance input — do not rename them or invent new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'nr_tasks': 17, 'nr_resources': 3, 'capacities': [11, 14, 9], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2, 3]}, {'duration': 9, 'demands': [4, 7, 1], 'successors': [4, 5]}, {'duration': 3, 'demands': [6, 7, 2], 'successors': [4, 5]}, {'duration': 2, 'demands': [4, 3, 3], 'successors': [4, 5, 6, 7]}, {'duration': 2, 'demands': [3, 1, 3], 'successors': [8, 9]}, {'duration': 8, 'demands': [7, 4, 3], 'successors': [8, 4]}, {'duration': 1, 'demands': [2, 7, 2], 'successors': [8, 10]}, {'duration': 5, 'demands': [1, 7, 8], 'successors': [9, 10]}, {'duration': 6, 'demands': [5, 4, 1], 'successors': [11, 12]}, {'duration': 2, 'demands': [2, 3, 5], 'successors': []}, {'duration': 3, 'demands': [4, 5, 3], 'successors': [11]}, {'duration': 4, 'demands': [2, 8, 5], 'successors': [13]}, {'duration': 1, 'demands': [2, 3, 3], 'successors': [13]}, {'duration': 10, 'demands': [7, 8, 2], 'successors': [15]}, {'duration': 4, 'demands': [5, 1, 3], 'successors': [15]}, {'duration': 2, 'demands': [3, 2, 7], 'successors': [16]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 1, 'end': 10, 'duration': 9, 'demands': [4, 7, 1]}, {'task': 2, 'start': 1, 'end': 4, 'duration': 3, 'demands': [6, 7, 2]}, {'task': 3, 'start': 4, 'end': 6, 'duration': 2, 'demands': [4, 3, 3]}, {'task': 4, 'start': 19, 'end': 21, 'duration': 2, 'demands': [3, 1, 3]}, {'task': 5, 'start': 11, 'end': 19, 'duration': 8, 'demands': [7, 4, 3]}, {'task': 6, 'start': 11, 'end': 12, 'duration': 1, 'demands': [2, 7, 2]}, {'task': 7, 'start': 6, 'end': 11, 'duration': 5, 'demands': [1, 7, 8]}, {'task': 8, 'start': 21, 'end': 27, 'duration': 6, 'demands': [5, 4, 1]}, {'task': 9, 'start': 21, 'end': 23, 'duration': 2, 'demands': [2, 3, 5]}, {'task': 10, 'start': 12, 'end': 15, 'duration': 3, 'demands': [4, 5, 3]}, {'task': 11, 'start': 27, 'end': 31, 'duration': 4, 'demands': [2, 8, 5]}, {'task': 12, 'start': 27, 'end': 28, 'duration': 1, 'demands': [2, 3, 3]}, {'task': 13, 'start': 31, 'end': 41, 'duration': 10, 'demands': [7, 8, 2]}, {'task': 14, 'start': 23, 'end': 27, 'duration': 4, 'demands': [5, 1, 3]}, {'task': 15, 'start': 41, 'end': 43, 'duration': 2, 'demands': [3, 2, 7]}, {'task': 16, 'start': 43, 'end': 44, 'duration': 1, 'demands': [0, 0, 0]}]",44.0,"{'problem_type': 'RCPSP', 'nr_tasks': 17, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17'], 'resources': [1, 2, 3], 'resource_capacities': [{'resource_id': 1, 'capacity': 11}, {'resource_id': 2, 'capacity': 14}, {'resource_id': 3, 'capacity': 9}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3', 'T4']}, {'task_id': 'T2', 'duration': 9, 'demands': [4, 7, 1], 'successors': ['T5', 'T6']}, {'task_id': 'T3', 'duration': 3, 'demands': [6, 7, 2], 'successors': ['T5', 'T6']}, {'task_id': 'T4', 'duration': 2, 'demands': [4, 3, 3], 'successors': ['T5', 'T6', 'T7', 'T8']}, {'task_id': 'T5', 'duration': 2, 'demands': [3, 1, 3], 'successors': ['T9', 'T10']}, {'task_id': 'T6', 'duration': 8, 'demands': [7, 4, 3], 'successors': ['T9', 'T5']}, {'task_id': 'T7', 'duration': 1, 'demands': [2, 7, 2], 'successors': ['T9', 'T11']}, {'task_id': 'T8', 'duration': 5, 'demands': [1, 7, 8], 'successors': ['T10', 'T11']}, {'task_id': 'T9', 'duration': 6, 'demands': [5, 4, 1], 'successors': ['T12', 'T13']}, {'task_id': 'T10', 'duration': 2, 'demands': [2, 3, 5], 'successors': []}, {'task_id': 'T11', 'duration': 3, 'demands': [4, 5, 3], 'successors': ['T12']}, {'task_id': 'T12', 'duration': 4, 'demands': [2, 8, 5], 'successors': ['T14']}, {'task_id': 'T13', 'duration': 1, 'demands': [2, 3, 3], 'successors': ['T14']}, {'task_id': 'T14', 'duration': 10, 'demands': [7, 8, 2], 'successors': ['T16']}, {'task_id': 'T15', 'duration': 4, 'demands': [5, 1, 3], 'successors': ['T16']}, {'task_id': 'T16', 'duration': 2, 'demands': [3, 2, 7], 'successors': ['T17']}, {'task_id': 'T17', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 1, 'end': 10, 'duration': 9, 'demands': [4, 7, 1]}, {'task': 'T3', 'start': 1, 'end': 4, 'duration': 3, 'demands': [6, 7, 2]}, {'task': 'T4', 'start': 4, 'end': 6, 'duration': 2, 'demands': [4, 3, 3]}, {'task': 'T5', 'start': 19, 'end': 21, 'duration': 2, 'demands': [3, 1, 3]}, {'task': 'T6', 'start': 11, 'end': 19, 'duration': 8, 'demands': [7, 4, 3]}, {'task': 'T7', 'start': 11, 'end': 12, 'duration': 1, 'demands': [2, 7, 2]}, {'task': 'T8', 'start': 6, 'end': 11, 'duration': 5, 'demands': [1, 7, 8]}, {'task': 'T9', 'start': 21, 'end': 27, 'duration': 6, 'demands': [5, 4, 1]}, {'task': 'T10', 'start': 21, 'end': 23, 'duration': 2, 'demands': [2, 3, 5]}, {'task': 'T11', 'start': 12, 'end': 15, 'duration': 3, 'demands': [4, 5, 3]}, {'task': 'T12', 'start': 27, 'end': 31, 'duration': 4, 'demands': [2, 8, 5]}, {'task': 'T13', 'start': 27, 'end': 28, 'duration': 1, 'demands': [2, 3, 3]}, {'task': 'T14', 'start': 31, 'end': 41, 'duration': 10, 'demands': [7, 8, 2]}, {'task': 'T15', 'start': 23, 'end': 27, 'duration': 4, 'demands': [5, 1, 3]}, {'task': 'T16', 'start': 41, 'end': 43, 'duration': 2, 'demands': [3, 2, 7]}, {'task': 'T17', 'start': 43, 'end': 44, 'duration': 1, 'demands': [0, 0, 0]}]",36,nl,1
RCPSP,RCPSP,"Someone on site is juggling the schedule for excavation, foundation, framing, roofing, plumbing, and finishing and has to decide when each should start. Each work item takes a set amount of time and needs a fixed number of hands (and sometimes a crane) while it’s underway. Excavation must be completed before foundation begins, and framing waits on the foundation. Every task must happen exactly once for its full duration, and at no time can the total workers or cranes in use exceed the crew available. The measure of success is straightforward: the earlier the last job finishes, the better — find each job’s finish by adding its duration to its start time, and the project finish is the latest of those. The concrete details are shown below.
Someone on site faces 16 tasks, must track 3 resource types, and has resource capacities .
Someone on site notes that task 'T1' runs for 6 units, consumes 2, 4, 3 while active, and must finish before T5, T6, T7 can start.
Someone on site notes that task 'T2' runs for 3 units, consumes 4, 6, 3 while active, and must finish before T4, T5, T16 can start.
Someone on site notes that task 'T3' runs for 11 units, consumes 9, 2, 2 while active, and must finish before T4, T5 can start.
Someone on site notes that task 'T4' runs for 6 units, consumes 8, 1, 7 while active, and must finish before T9, T10 can start.
Someone on site notes that task 'T5' runs for 3 units, consumes 8, 9, 4 while active, and must finish before T8, T9 can start.
Someone on site notes that task 'T6' runs for 2 units, consumes 2, 4, 2 while active, and must finish before T9, T10 can start.
Someone on site notes that task 'T7' runs for 1 units, consumes 4, 4, 8 while active, and must finish before T8, T10 can start.
Someone on site notes that task 'T8' runs for 2 units, consumes 4, 3, 4 while active, and must finish before T11, T12 can start.
Someone on site notes that task 'T9' runs for 4 units, consumes 6, 1, 7 while active, and must finish before T13 can start.
Someone on site notes that task 'T10' runs for 2 units, consumes 4, 3, 2 while active, and must finish before T11, T15 can start.
Someone on site notes that task 'T11' runs for 4 units, consumes 2, 4, 5 while active, and must finish before T15 can start.
Someone on site notes that task 'T12' runs for 7 units, consumes 3, 3, 4 while active, and must finish before T15 can start.
Someone on site notes that task 'T13' runs for 3 units, consumes 2, 10, 3 while active, and must finish before T14, T8 can start.
Someone on site notes that task 'T14' runs for 2 units, consumes 6, 6, 8 while active, and must finish before T16 can start.
Someone on site notes that task 'T15' runs for 1 units, consumes 2, 2, 3 while active, and must finish before none can start.
Someone on site notes that task 'T16' runs for 2 units, consumes 2, 9, 4 while active, and must finish before none can start.
Someone on site should schedule each task so the overall project finish is as early as possible.
If you'd like to give me the schedule in a tidy, machine-friendly way, just follow this JSON shape — nothing fancy, just a list of tasks with their start and end times:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
This sketch means: put each work item in the ""solution"" array, use the task identifier exactly as it appears in the instance, and record the numeric start time and the numeric end time (end = start + duration). It's just the expected shape — not the real answer — so fill in the actual task IDs and times when you submit the schedule.
Please don't rename or invent task IDs — use the identifiers from the instance exactly as given.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'nr_tasks': 16, 'nr_resources': 3, 'capacities': [15, 10, 8], 'tasks': [{'duration': 6, 'demands': [2, 4, 3], 'successors': [4, 5, 6]}, {'duration': 3, 'demands': [4, 6, 3], 'successors': [3, 4, 15]}, {'duration': 11, 'demands': [9, 2, 2], 'successors': [3, 4]}, {'duration': 6, 'demands': [8, 1, 7], 'successors': [8, 9]}, {'duration': 3, 'demands': [8, 9, 4], 'successors': [7, 8]}, {'duration': 2, 'demands': [2, 4, 2], 'successors': [8, 9]}, {'duration': 1, 'demands': [4, 4, 8], 'successors': [7, 9]}, {'duration': 2, 'demands': [4, 3, 4], 'successors': [10, 11]}, {'duration': 4, 'demands': [6, 1, 7], 'successors': [12]}, {'duration': 2, 'demands': [4, 3, 2], 'successors': [10, 14]}, {'duration': 4, 'demands': [2, 4, 5], 'successors': [14]}, {'duration': 7, 'demands': [3, 3, 4], 'successors': [14]}, {'duration': 3, 'demands': [2, 10, 3], 'successors': [13, 7]}, {'duration': 2, 'demands': [6, 6, 8], 'successors': [15]}, {'duration': 1, 'demands': [2, 2, 3], 'successors': []}, {'duration': 2, 'demands': [2, 9, 4], 'successors': []}]}","[{'task': 0, 'start': 3, 'end': 9, 'duration': 6, 'demands': [2, 4, 3]}, {'task': 1, 'start': 0, 'end': 3, 'duration': 3, 'demands': [4, 6, 3]}, {'task': 2, 'start': 0, 'end': 11, 'duration': 11, 'demands': [9, 2, 2]}, {'task': 3, 'start': 11, 'end': 17, 'duration': 6, 'demands': [8, 1, 7]}, {'task': 4, 'start': 17, 'end': 20, 'duration': 3, 'demands': [8, 9, 4]}, {'task': 5, 'start': 9, 'end': 11, 'duration': 2, 'demands': [2, 4, 2]}, {'task': 6, 'start': 27, 'end': 28, 'duration': 1, 'demands': [4, 4, 8]}, {'task': 7, 'start': 28, 'end': 30, 'duration': 2, 'demands': [4, 3, 4]}, {'task': 8, 'start': 20, 'end': 24, 'duration': 4, 'demands': [6, 1, 7]}, {'task': 9, 'start': 28, 'end': 30, 'duration': 2, 'demands': [4, 3, 2]}, {'task': 10, 'start': 37, 'end': 41, 'duration': 4, 'demands': [2, 4, 5]}, {'task': 11, 'start': 30, 'end': 37, 'duration': 7, 'demands': [3, 3, 4]}, {'task': 12, 'start': 24, 'end': 27, 'duration': 3, 'demands': [2, 10, 3]}, {'task': 13, 'start': 41, 'end': 43, 'duration': 2, 'demands': [6, 6, 8]}, {'task': 14, 'start': 45, 'end': 46, 'duration': 1, 'demands': [2, 2, 3]}, {'task': 15, 'start': 43, 'end': 45, 'duration': 2, 'demands': [2, 9, 4]}]",46.0,"{'problem_type': 'RCPSP', 'nr_tasks': 16, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16'], 'resources': [1, 2, 3], 'resource_capacities': [{'resource_id': 1, 'capacity': 15}, {'resource_id': 2, 'capacity': 10}, {'resource_id': 3, 'capacity': 8}], 'task_records': [{'task_id': 'T1', 'duration': 6, 'demands': [2, 4, 3], 'successors': ['T5', 'T6', 'T7']}, {'task_id': 'T2', 'duration': 3, 'demands': [4, 6, 3], 'successors': ['T4', 'T5', 'T16']}, {'task_id': 'T3', 'duration': 11, 'demands': [9, 2, 2], 'successors': ['T4', 'T5']}, {'task_id': 'T4', 'duration': 6, 'demands': [8, 1, 7], 'successors': ['T9', 'T10']}, {'task_id': 'T5', 'duration': 3, 'demands': [8, 9, 4], 'successors': ['T8', 'T9']}, {'task_id': 'T6', 'duration': 2, 'demands': [2, 4, 2], 'successors': ['T9', 'T10']}, {'task_id': 'T7', 'duration': 1, 'demands': [4, 4, 8], 'successors': ['T8', 'T10']}, {'task_id': 'T8', 'duration': 2, 'demands': [4, 3, 4], 'successors': ['T11', 'T12']}, {'task_id': 'T9', 'duration': 4, 'demands': [6, 1, 7], 'successors': ['T13']}, {'task_id': 'T10', 'duration': 2, 'demands': [4, 3, 2], 'successors': ['T11', 'T15']}, {'task_id': 'T11', 'duration': 4, 'demands': [2, 4, 5], 'successors': ['T15']}, {'task_id': 'T12', 'duration': 7, 'demands': [3, 3, 4], 'successors': ['T15']}, {'task_id': 'T13', 'duration': 3, 'demands': [2, 10, 3], 'successors': ['T14', 'T8']}, {'task_id': 'T14', 'duration': 2, 'demands': [6, 6, 8], 'successors': ['T16']}, {'task_id': 'T15', 'duration': 1, 'demands': [2, 2, 3], 'successors': []}, {'task_id': 'T16', 'duration': 2, 'demands': [2, 9, 4], 'successors': []}]}","[{'task': 'T1', 'start': 3, 'end': 9, 'duration': 6, 'demands': [2, 4, 3]}, {'task': 'T2', 'start': 0, 'end': 3, 'duration': 3, 'demands': [4, 6, 3]}, {'task': 'T3', 'start': 0, 'end': 11, 'duration': 11, 'demands': [9, 2, 2]}, {'task': 'T4', 'start': 11, 'end': 17, 'duration': 6, 'demands': [8, 1, 7]}, {'task': 'T5', 'start': 17, 'end': 20, 'duration': 3, 'demands': [8, 9, 4]}, {'task': 'T6', 'start': 9, 'end': 11, 'duration': 2, 'demands': [2, 4, 2]}, {'task': 'T7', 'start': 27, 'end': 28, 'duration': 1, 'demands': [4, 4, 8]}, {'task': 'T8', 'start': 28, 'end': 30, 'duration': 2, 'demands': [4, 3, 4]}, {'task': 'T9', 'start': 20, 'end': 24, 'duration': 4, 'demands': [6, 1, 7]}, {'task': 'T10', 'start': 28, 'end': 30, 'duration': 2, 'demands': [4, 3, 2]}, {'task': 'T11', 'start': 37, 'end': 41, 'duration': 4, 'demands': [2, 4, 5]}, {'task': 'T12', 'start': 30, 'end': 37, 'duration': 7, 'demands': [3, 3, 4]}, {'task': 'T13', 'start': 24, 'end': 27, 'duration': 3, 'demands': [2, 10, 3]}, {'task': 'T14', 'start': 41, 'end': 43, 'duration': 2, 'demands': [6, 6, 8]}, {'task': 'T15', 'start': 45, 'end': 46, 'duration': 1, 'demands': [2, 2, 3]}, {'task': 'T16', 'start': 43, 'end': 45, 'duration': 2, 'demands': [2, 9, 4]}]",37,nl,1
RCPSP,RCPSP,"Many people think baking is just about recipes, but here it’s about timing: set start times for mixing, oven runs, cooling periods, decorating sessions, and packing so everything runs without overrunning the available ovens and workspace. Every action takes a fixed time, consumes oven or counter spots (which are limited), follows a required order, and must be done once. The point is to have the batch ready sooner rather than later — the finish time is the moment the last job ends, and the best plan is the one that makes that moment as early as possible. Specific durations and resource counts come next below.
{
""total_steps"": 18,
""num_resource_types"": 3,
""resources"": [
1,
2,
3
],
""resource_capacities"": [
{
""resource_id"": 1,
""capacity"": 14
},
{
""resource_id"": 2,
""capacity"": 10
},
{
""resource_id"": 3,
""capacity"": 8
}
],
""tasks"": [
{
""step_id"": ""T1"",
""step_duration"": 1,
""resource_demands"": [
0,
0,
0
],
""successor_steps"": [
""T2"",
""T3"",
""T4""
]
},
{
""step_id"": ""T2"",
""step_duration"": 7,
""resource_demands"": [
3,
3,
3
],
""successor_steps"": [
""T5"",
""T6""
]
},
{
""step_id"": ""T3"",
""step_duration"": 4,
""resource_demands"": [
5,
3,
4
],
""successor_steps"": [
""T5"",
""T6""
]
},
{
""step_id"": ""T4"",
""step_duration"": 1,
""resource_demands"": [
4,
3,
1
],
""successor_steps"": [
""T5"",
""T6"",
""T7"",
""T8""
]
},
{
""step_id"": ""T5"",
""step_duration"": 1,
""resource_demands"": [
3,
1,
4
],
""successor_steps"": [
""T9"",
""T10""
]
},
{
""step_id"": ""T6"",
""step_duration"": 7,
""resource_demands"": [
7,
10,
4
],
""successor_steps"": [
""T9""
]
},
{
""step_id"": ""T7"",
""step_duration"": 4,
""resource_demands"": [
3,
7,
3
],
""successor_steps"": [
""T9"",
""T11""
]
},
{
""step_id"": ""T8"",
""step_duration"": 2,
""resource_demands"": [
2,
8,
6
],
""successor_steps"": [
""T10"",
""T11""
]
},
{
""step_id"": ""T9"",
""step_duration"": 2,
""resource_demands"": [
4,
1,
3
],
""successor_steps"": [
""T12"",
""T13""
]
},
{
""step_id"": ""T10"",
""step_duration"": 3,
""resource_demands"": [
4,
1,
3
],
""successor_steps"": []
},
{
""step_id"": ""T11"",
""step_duration"": 5,
""resource_demands"": [
4,
5,
3
],
""successor_steps"": [
""T12""
]
},
{
""step_id"": ""T12"",
""step_duration"": 1,
""resource_demands"": [
1,
6,
4
],
""successor_steps"": [
""T14""
]
},
{
""step_id"": ""T13"",
""step_duration"": 2,
""resource_demands"": [
3,
1,
2
],
""successor_steps"": [
""T14""
]
},
{
""step_id"": ""T14"",
""step_duration"": 10,
""resource_demands"": [
3,
9,
8
],
""successor_steps"": [
""T16"",
""T17""
]
},
{
""step_id"": ""T15"",
""step_duration"": 5,
""resource_demands"": [
4,
2,
5
],
""successor_steps"": [
""T16""
]
},
{
""step_id"": ""T16"",
""step_duration"": 2,
""resource_demands"": [
2,
5,
6
],
""successor_steps"": [
""T18""
]
},
{
""step_id"": ""T17"",
""step_duration"": 2,
""resource_demands"": [
1,
4,
1
],
""successor_steps"": [
""T18""
]
},
{
""step_id"": ""T18"",
""step_duration"": 1,
""resource_demands"": [
0,
0,
0
],
""successor_steps"": []
}
]
}
Also, to keep things tidy when you send the plan back, please follow this JSON layout so I can read it easily:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
This is just a tiny sketch of the shape I need: each object in the ""solution"" array is one action in the baking process, with ""task"" holding the task identifier, ""start"" the time it begins, and ""end"" the time it finishes. Think of it like a little form: one line per task, with when it starts and when it ends.
One more thing — the JSON above is only the expected format, not the actual schedule. And please use the exact task identifiers from the instance input, with no renaming and no new labels. Valid identifiers look like plain numbers such as ""1"" or ""23"", single capital letters like ""A"" or ""B"", or a capital letter followed by digits like ""A1"" or ""X7"".","{'nr_tasks': 18, 'nr_resources': 3, 'capacities': [14, 10, 8], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2, 3]}, {'duration': 7, 'demands': [3, 3, 3], 'successors': [4, 5]}, {'duration': 4, 'demands': [5, 3, 4], 'successors': [4, 5]}, {'duration': 1, 'demands': [4, 3, 1], 'successors': [4, 5, 6, 7]}, {'duration': 1, 'demands': [3, 1, 4], 'successors': [8, 9]}, {'duration': 7, 'demands': [7, 10, 4], 'successors': [8]}, {'duration': 4, 'demands': [3, 7, 3], 'successors': [8, 10]}, {'duration': 2, 'demands': [2, 8, 6], 'successors': [9, 10]}, {'duration': 2, 'demands': [4, 1, 3], 'successors': [11, 12]}, {'duration': 3, 'demands': [4, 1, 3], 'successors': []}, {'duration': 5, 'demands': [4, 5, 3], 'successors': [11]}, {'duration': 1, 'demands': [1, 6, 4], 'successors': [13]}, {'duration': 2, 'demands': [3, 1, 2], 'successors': [13]}, {'duration': 10, 'demands': [3, 9, 8], 'successors': [15, 16]}, {'duration': 5, 'demands': [4, 2, 5], 'successors': [15]}, {'duration': 2, 'demands': [2, 5, 6], 'successors': [17]}, {'duration': 2, 'demands': [1, 4, 1], 'successors': [17]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 1, 'end': 8, 'duration': 7, 'demands': [3, 3, 3]}, {'task': 2, 'start': 1, 'end': 5, 'duration': 4, 'demands': [5, 3, 4]}, {'task': 3, 'start': 1, 'end': 2, 'duration': 1, 'demands': [4, 3, 1]}, {'task': 4, 'start': 8, 'end': 9, 'duration': 1, 'demands': [3, 1, 4]}, {'task': 5, 'start': 9, 'end': 16, 'duration': 7, 'demands': [7, 10, 4]}, {'task': 6, 'start': 5, 'end': 9, 'duration': 4, 'demands': [3, 7, 3]}, {'task': 7, 'start': 16, 'end': 18, 'duration': 2, 'demands': [2, 8, 6]}, {'task': 8, 'start': 18, 'end': 20, 'duration': 2, 'demands': [4, 1, 3]}, {'task': 9, 'start': 23, 'end': 26, 'duration': 3, 'demands': [4, 1, 3]}, {'task': 10, 'start': 20, 'end': 25, 'duration': 5, 'demands': [4, 5, 3]}, {'task': 11, 'start': 25, 'end': 26, 'duration': 1, 'demands': [1, 6, 4]}, {'task': 12, 'start': 23, 'end': 25, 'duration': 2, 'demands': [3, 1, 2]}, {'task': 13, 'start': 26, 'end': 36, 'duration': 10, 'demands': [3, 9, 8]}, {'task': 14, 'start': 18, 'end': 23, 'duration': 5, 'demands': [4, 2, 5]}, {'task': 15, 'start': 36, 'end': 38, 'duration': 2, 'demands': [2, 5, 6]}, {'task': 16, 'start': 36, 'end': 38, 'duration': 2, 'demands': [1, 4, 1]}, {'task': 17, 'start': 38, 'end': 39, 'duration': 1, 'demands': [0, 0, 0]}]",39.0,"{'problem_type': 'RCPSP', 'nr_tasks': 18, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18'], 'resources': [1, 2, 3], 'resource_capacities': [{'resource_id': 1, 'capacity': 14}, {'resource_id': 2, 'capacity': 10}, {'resource_id': 3, 'capacity': 8}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3', 'T4']}, {'task_id': 'T2', 'duration': 7, 'demands': [3, 3, 3], 'successors': ['T5', 'T6']}, {'task_id': 'T3', 'duration': 4, 'demands': [5, 3, 4], 'successors': ['T5', 'T6']}, {'task_id': 'T4', 'duration': 1, 'demands': [4, 3, 1], 'successors': ['T5', 'T6', 'T7', 'T8']}, {'task_id': 'T5', 'duration': 1, 'demands': [3, 1, 4], 'successors': ['T9', 'T10']}, {'task_id': 'T6', 'duration': 7, 'demands': [7, 10, 4], 'successors': ['T9']}, {'task_id': 'T7', 'duration': 4, 'demands': [3, 7, 3], 'successors': ['T9', 'T11']}, {'task_id': 'T8', 'duration': 2, 'demands': [2, 8, 6], 'successors': ['T10', 'T11']}, {'task_id': 'T9', 'duration': 2, 'demands': [4, 1, 3], 'successors': ['T12', 'T13']}, {'task_id': 'T10', 'duration': 3, 'demands': [4, 1, 3], 'successors': []}, {'task_id': 'T11', 'duration': 5, 'demands': [4, 5, 3], 'successors': ['T12']}, {'task_id': 'T12', 'duration': 1, 'demands': [1, 6, 4], 'successors': ['T14']}, {'task_id': 'T13', 'duration': 2, 'demands': [3, 1, 2], 'successors': ['T14']}, {'task_id': 'T14', 'duration': 10, 'demands': [3, 9, 8], 'successors': ['T16', 'T17']}, {'task_id': 'T15', 'duration': 5, 'demands': [4, 2, 5], 'successors': ['T16']}, {'task_id': 'T16', 'duration': 2, 'demands': [2, 5, 6], 'successors': ['T18']}, {'task_id': 'T17', 'duration': 2, 'demands': [1, 4, 1], 'successors': ['T18']}, {'task_id': 'T18', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 1, 'end': 8, 'duration': 7, 'demands': [3, 3, 3]}, {'task': 'T3', 'start': 1, 'end': 5, 'duration': 4, 'demands': [5, 3, 4]}, {'task': 'T4', 'start': 1, 'end': 2, 'duration': 1, 'demands': [4, 3, 1]}, {'task': 'T5', 'start': 8, 'end': 9, 'duration': 1, 'demands': [3, 1, 4]}, {'task': 'T6', 'start': 9, 'end': 16, 'duration': 7, 'demands': [7, 10, 4]}, {'task': 'T7', 'start': 5, 'end': 9, 'duration': 4, 'demands': [3, 7, 3]}, {'task': 'T8', 'start': 16, 'end': 18, 'duration': 2, 'demands': [2, 8, 6]}, {'task': 'T9', 'start': 18, 'end': 20, 'duration': 2, 'demands': [4, 1, 3]}, {'task': 'T10', 'start': 23, 'end': 26, 'duration': 3, 'demands': [4, 1, 3]}, {'task': 'T11', 'start': 20, 'end': 25, 'duration': 5, 'demands': [4, 5, 3]}, {'task': 'T12', 'start': 25, 'end': 26, 'duration': 1, 'demands': [1, 6, 4]}, {'task': 'T13', 'start': 23, 'end': 25, 'duration': 2, 'demands': [3, 1, 2]}, {'task': 'T14', 'start': 26, 'end': 36, 'duration': 10, 'demands': [3, 9, 8]}, {'task': 'T15', 'start': 18, 'end': 23, 'duration': 5, 'demands': [4, 2, 5]}, {'task': 'T16', 'start': 36, 'end': 38, 'duration': 2, 'demands': [2, 5, 6]}, {'task': 'T17', 'start': 36, 'end': 38, 'duration': 2, 'demands': [1, 4, 1]}, {'task': 'T18', 'start': 38, 'end': 39, 'duration': 1, 'demands': [0, 0, 0]}]",38,json,1
RCPSP,RCPSP,"A small dev team needed a plan: schedule design, coding, code review, integration testing, and deployment so each job starts at the right moment — each one has a fixed duration and uses a given amount of developer or tester hours while active. The decision is about start times that honor the order (implementation must finish before review, testing follows integration) and avoid booking more hours than the team has available on any day. The clear measure of success is the deployment finish time — earlier completion means a better schedule. Every task must be carried out once in sequence, and team-hours can’t be overused. The full, concrete details are shown below.
Details: 21 tasks, 3 resource types, daily capacities .
T1 runs for 1 days, consumes 0, 0, 0 team-hours per day while active, and must finish before T2, T3, T4 start.
T2 runs for 1 days, consumes 2, 8, 4 team-hours per day while active, and must finish before T5, T7 start.
T3 runs for 1 days, consumes 5, 6, 2 team-hours per day while active, and must finish before T6, T8 start.
T4 runs for 2 days, consumes 7, 2, 3 team-hours per day while active, and must finish before T6, T7 start.
T5 runs for 4 days, consumes 5, 1, 7 team-hours per day while active, and must finish before T10 start.
T6 runs for 6 days, consumes 4, 9, 7 team-hours per day while active, and must finish before T9, T10 start.
T7 runs for 9 days, consumes 4, 8, 1 team-hours per day while active, and must finish before T9 start.
T8 runs for 6 days, consumes 3, 8, 5 team-hours per day while active, and must finish before T9, T10 start.
T9 runs for 2 days, consumes 2, 4, 6 team-hours per day while active, and must finish before T11 start.
T10 runs for 4 days, consumes 5, 2, 4 team-hours per day while active, and must finish before T11, T12 start.
T11 runs for 4 days, consumes 2, 2, 4 team-hours per day while active, and must finish before T14 start.
T12 runs for 3 days, consumes 5, 9, 6 team-hours per day while active, and must finish before T13 start.
T13 runs for 1 days, consumes 4, 3, 4 team-hours per day while active, and must finish before T15 start.
T14 runs for 5 days, consumes 9, 5, 4 team-hours per day while active, and must finish before T17 start.
T15 runs for 1 days, consumes 1, 11, 4 team-hours per day while active, and must finish before T19 start.
T16 runs for 2 days, consumes 6, 2, 2 team-hours per day while active, and must finish before T19 start.
T17 runs for 5 days, consumes 1, 0, 5 team-hours per day while active, and must finish before T19 start.
T18 runs for 3 days, consumes 1, 3, 1 team-hours per day while active, and must finish before T19 start.
T19 runs for 10 days, consumes 0, 2, 4 team-hours per day while active, and must finish before none start.
T20 runs for 3 days, consumes 2, 3, 2 team-hours per day while active, and must finish before T21 start.
T21 runs for 1 days, consumes 0, 0, 0 team-hours per day while active, and must finish before none start.
The objective is to minimize the deployment finish time while respecting the daily capacities .
Also, when you send back the schedule, please use a simple JSON layout like this so it's easy to parse:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
This is just a quick sketch of the shape I expect: ""solution"" is a list of task entries; each entry names the task (the exact task identifier from the instance), and gives the start and end times for that task. Think of it like filling out a little form for each job: which job, when it starts, and when it finishes. The block above is only the expected format — not the actual schedule.
Please make sure to use the exact identifiers from the instance input — don't rename tasks or invent new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'nr_tasks': 21, 'nr_resources': 3, 'capacities': [15, 11, 10], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2, 3]}, {'duration': 1, 'demands': [2, 8, 4], 'successors': [4, 6]}, {'duration': 1, 'demands': [5, 6, 2], 'successors': [5, 7]}, {'duration': 2, 'demands': [7, 2, 3], 'successors': [5, 6]}, {'duration': 4, 'demands': [5, 1, 7], 'successors': [9]}, {'duration': 6, 'demands': [4, 9, 7], 'successors': [8, 9]}, {'duration': 9, 'demands': [4, 8, 1], 'successors': [8]}, {'duration': 6, 'demands': [3, 8, 5], 'successors': [8, 9]}, {'duration': 2, 'demands': [2, 4, 6], 'successors': [10]}, {'duration': 4, 'demands': [5, 2, 4], 'successors': [10, 11]}, {'duration': 4, 'demands': [2, 2, 4], 'successors': [13]}, {'duration': 3, 'demands': [5, 9, 6], 'successors': [12]}, {'duration': 1, 'demands': [4, 3, 4], 'successors': [14]}, {'duration': 5, 'demands': [9, 5, 4], 'successors': [16]}, {'duration': 1, 'demands': [1, 11, 4], 'successors': [18]}, {'duration': 2, 'demands': [6, 2, 2], 'successors': [18]}, {'duration': 5, 'demands': [1, 0, 5], 'successors': [18]}, {'duration': 3, 'demands': [1, 3, 1], 'successors': [18]}, {'duration': 10, 'demands': [0, 2, 4], 'successors': []}, {'duration': 3, 'demands': [2, 3, 2], 'successors': [20]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 14, 'end': 15, 'duration': 1, 'demands': [2, 8, 4]}, {'task': 2, 'start': 1, 'end': 2, 'duration': 1, 'demands': [5, 6, 2]}, {'task': 3, 'start': 3, 'end': 5, 'duration': 2, 'demands': [7, 2, 3]}, {'task': 4, 'start': 15, 'end': 19, 'duration': 4, 'demands': [5, 1, 7]}, {'task': 5, 'start': 8, 'end': 14, 'duration': 6, 'demands': [4, 9, 7]}, {'task': 6, 'start': 15, 'end': 24, 'duration': 9, 'demands': [4, 8, 1]}, {'task': 7, 'start': 2, 'end': 8, 'duration': 6, 'demands': [3, 8, 5]}, {'task': 8, 'start': 24, 'end': 26, 'duration': 2, 'demands': [2, 4, 6]}, {'task': 9, 'start': 19, 'end': 23, 'duration': 4, 'demands': [5, 2, 4]}, {'task': 10, 'start': 26, 'end': 30, 'duration': 4, 'demands': [2, 2, 4]}, {'task': 11, 'start': 26, 'end': 29, 'duration': 3, 'demands': [5, 9, 6]}, {'task': 12, 'start': 29, 'end': 30, 'duration': 1, 'demands': [4, 3, 4]}, {'task': 13, 'start': 30, 'end': 35, 'duration': 5, 'demands': [9, 5, 4]}, {'task': 14, 'start': 35, 'end': 36, 'duration': 1, 'demands': [1, 11, 4]}, {'task': 15, 'start': 0, 'end': 2, 'duration': 2, 'demands': [6, 2, 2]}, {'task': 16, 'start': 35, 'end': 40, 'duration': 5, 'demands': [1, 0, 5]}, {'task': 17, 'start': 0, 'end': 3, 'duration': 3, 'demands': [1, 3, 1]}, {'task': 18, 'start': 40, 'end': 50, 'duration': 10, 'demands': [0, 2, 4]}, {'task': 19, 'start': 5, 'end': 8, 'duration': 3, 'demands': [2, 3, 2]}, {'task': 20, 'start': 48, 'end': 49, 'duration': 1, 'demands': [0, 0, 0]}]",50.0,"{'problem_type': 'RCPSP', 'nr_tasks': 21, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18', 'T19', 'T20', 'T21'], 'resources': ['A', 'B', 'C'], 'resource_capacities': [{'resource_id': 'A', 'capacity': 15}, {'resource_id': 'B', 'capacity': 11}, {'resource_id': 'C', 'capacity': 10}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3', 'T4']}, {'task_id': 'T2', 'duration': 1, 'demands': [2, 8, 4], 'successors': ['T5', 'T7']}, {'task_id': 'T3', 'duration': 1, 'demands': [5, 6, 2], 'successors': ['T6', 'T8']}, {'task_id': 'T4', 'duration': 2, 'demands': [7, 2, 3], 'successors': ['T6', 'T7']}, {'task_id': 'T5', 'duration': 4, 'demands': [5, 1, 7], 'successors': ['T10']}, {'task_id': 'T6', 'duration': 6, 'demands': [4, 9, 7], 'successors': ['T9', 'T10']}, {'task_id': 'T7', 'duration': 9, 'demands': [4, 8, 1], 'successors': ['T9']}, {'task_id': 'T8', 'duration': 6, 'demands': [3, 8, 5], 'successors': ['T9', 'T10']}, {'task_id': 'T9', 'duration': 2, 'demands': [2, 4, 6], 'successors': ['T11']}, {'task_id': 'T10', 'duration': 4, 'demands': [5, 2, 4], 'successors': ['T11', 'T12']}, {'task_id': 'T11', 'duration': 4, 'demands': [2, 2, 4], 'successors': ['T14']}, {'task_id': 'T12', 'duration': 3, 'demands': [5, 9, 6], 'successors': ['T13']}, {'task_id': 'T13', 'duration': 1, 'demands': [4, 3, 4], 'successors': ['T15']}, {'task_id': 'T14', 'duration': 5, 'demands': [9, 5, 4], 'successors': ['T17']}, {'task_id': 'T15', 'duration': 1, 'demands': [1, 11, 4], 'successors': ['T19']}, {'task_id': 'T16', 'duration': 2, 'demands': [6, 2, 2], 'successors': ['T19']}, {'task_id': 'T17', 'duration': 5, 'demands': [1, 0, 5], 'successors': ['T19']}, {'task_id': 'T18', 'duration': 3, 'demands': [1, 3, 1], 'successors': ['T19']}, {'task_id': 'T19', 'duration': 10, 'demands': [0, 2, 4], 'successors': []}, {'task_id': 'T20', 'duration': 3, 'demands': [2, 3, 2], 'successors': ['T21']}, {'task_id': 'T21', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 14, 'end': 15, 'duration': 1, 'demands': [2, 8, 4]}, {'task': 'T3', 'start': 1, 'end': 2, 'duration': 1, 'demands': [5, 6, 2]}, {'task': 'T4', 'start': 3, 'end': 5, 'duration': 2, 'demands': [7, 2, 3]}, {'task': 'T5', 'start': 15, 'end': 19, 'duration': 4, 'demands': [5, 1, 7]}, {'task': 'T6', 'start': 8, 'end': 14, 'duration': 6, 'demands': [4, 9, 7]}, {'task': 'T7', 'start': 15, 'end': 24, 'duration': 9, 'demands': [4, 8, 1]}, {'task': 'T8', 'start': 2, 'end': 8, 'duration': 6, 'demands': [3, 8, 5]}, {'task': 'T9', 'start': 24, 'end': 26, 'duration': 2, 'demands': [2, 4, 6]}, {'task': 'T10', 'start': 19, 'end': 23, 'duration': 4, 'demands': [5, 2, 4]}, {'task': 'T11', 'start': 26, 'end': 30, 'duration': 4, 'demands': [2, 2, 4]}, {'task': 'T12', 'start': 26, 'end': 29, 'duration': 3, 'demands': [5, 9, 6]}, {'task': 'T13', 'start': 29, 'end': 30, 'duration': 1, 'demands': [4, 3, 4]}, {'task': 'T14', 'start': 30, 'end': 35, 'duration': 5, 'demands': [9, 5, 4]}, {'task': 'T15', 'start': 35, 'end': 36, 'duration': 1, 'demands': [1, 11, 4]}, {'task': 'T16', 'start': 0, 'end': 2, 'duration': 2, 'demands': [6, 2, 2]}, {'task': 'T17', 'start': 35, 'end': 40, 'duration': 5, 'demands': [1, 0, 5]}, {'task': 'T18', 'start': 0, 'end': 3, 'duration': 3, 'demands': [1, 3, 1]}, {'task': 'T19', 'start': 40, 'end': 50, 'duration': 10, 'demands': [0, 2, 4]}, {'task': 'T20', 'start': 5, 'end': 8, 'duration': 3, 'demands': [2, 3, 2]}, {'task': 'T21', 'start': 48, 'end': 49, 'duration': 1, 'demands': [0, 0, 0]}]",39,nl,names
RCPSP,RCPSP,"Many people forget how many little moving parts a report needs: a diagnostic scan, image processing, a specialist’s review, and finally signing. The decision is to slot start times for those four steps so each waits for the previous to finish, given each step’s fixed length and the limited scanner and specialist hours that each consumes. A smarter plan is simply the one that yields an earlier final sign-off — measured by when that last step completes — and every step has to happen exactly once in order without ever booking more scanner or specialist time than exists. The instance details are right below.
It lists 17 sequential stages, 3 resource types, and resource capacities .
| resource_id | capacity |
|---|---|
| 1 | 7 |
| 2 | 10 |
| 3 | 7 |
| stage_id | stage_duration | resource_demand_vector | successor_stages |
|---|---|---|---|
| T1 | 1 | 0, 0, 0 | T2, T3 |
| T2 | 2 | 2, 2, 2 | T4, T5, T6 |
| T3 | 3 | 2, 7, 2 | T8, T11 |
| T4 | 8 | 2, 1, 3 | T10, T3 |
| T5 | 3 | 7, 2, 2 | T6, T7, T12, T11 |
| T6 | 5 | 2, 0, 2 | T11, T14 |
| T7 | 3 | 2, 2, 1 | none |
| T8 | 4 | 3, 2, 1 | T9 |
| T9 | 5 | 1, 3, 2 | T13, T6 |
| T10 | 2 | 5, 2, 5 | T11, T8 |
| T11 | 3 | 6, 2, 0 | T12, T7 |
| T12 | 3 | 7, 4, 1 | T13, T17 |
| T13 | 1 | 0, 0, 0 | none |
| T14 | 1 | 1, 3, 2 | T17 |
| T15 | 7 | 2, 3, 2 | T8 |
| T16 | 3 | 0, 0, 0 | T10 |
| T17 | 4 | 2, 1, 3 | none |
Respect those 17 stages and the 3 capacities so the solver can minimize the final sign-off time.
Oh, and when you send the schedule back, please use this simple JSON shape so I can read it easily:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
This is just the form I expect: ""solution"" holds a list of the steps, and each step object has a task identifier plus its start and end times (use the same time units as in the instance). Think of it like a little form you’re filling out — one line per step showing when it begins and when it finishes.
This JSON is only a sketch of the expected shape, not the actual answer. The real schedule should list every task from the instance with concrete start and end numbers.
Also, a quick reminder: all identifiers must be used exactly as they appear in the instance input — no renaming and no new labels.
Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'nr_tasks': 17, 'nr_resources': 3, 'capacities': [7, 10, 7], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2]}, {'duration': 2, 'demands': [2, 2, 2], 'successors': [3, 4, 5]}, {'duration': 3, 'demands': [2, 7, 2], 'successors': [7, 10]}, {'duration': 8, 'demands': [2, 1, 3], 'successors': [9, 2]}, {'duration': 3, 'demands': [7, 2, 2], 'successors': [5, 6, 11, 10]}, {'duration': 5, 'demands': [2, 0, 2], 'successors': [10, 13]}, {'duration': 3, 'demands': [2, 2, 1], 'successors': []}, {'duration': 4, 'demands': [3, 2, 1], 'successors': [8]}, {'duration': 5, 'demands': [1, 3, 2], 'successors': [12, 5]}, {'duration': 2, 'demands': [5, 2, 5], 'successors': [10, 7]}, {'duration': 3, 'demands': [6, 2, 0], 'successors': [11, 6]}, {'duration': 3, 'demands': [7, 4, 1], 'successors': [12, 16]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}, {'duration': 1, 'demands': [1, 3, 2], 'successors': [16]}, {'duration': 7, 'demands': [2, 3, 2], 'successors': [7]}, {'duration': 3, 'demands': [0, 0, 0], 'successors': [9]}, {'duration': 4, 'demands': [2, 1, 3], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 1, 'end': 3, 'duration': 2, 'demands': [2, 2, 2]}, {'task': 2, 'start': 11, 'end': 14, 'duration': 3, 'demands': [2, 7, 2]}, {'task': 3, 'start': 3, 'end': 11, 'duration': 8, 'demands': [2, 1, 3]}, {'task': 4, 'start': 23, 'end': 26, 'duration': 3, 'demands': [7, 2, 2]}, {'task': 5, 'start': 26, 'end': 31, 'duration': 5, 'demands': [2, 0, 2]}, {'task': 6, 'start': 37, 'end': 40, 'duration': 3, 'demands': [2, 2, 1]}, {'task': 7, 'start': 14, 'end': 18, 'duration': 4, 'demands': [3, 2, 1]}, {'task': 8, 'start': 18, 'end': 23, 'duration': 5, 'demands': [1, 3, 2]}, {'task': 9, 'start': 11, 'end': 13, 'duration': 2, 'demands': [5, 2, 5]}, {'task': 10, 'start': 31, 'end': 34, 'duration': 3, 'demands': [6, 2, 0]}, {'task': 11, 'start': 34, 'end': 37, 'duration': 3, 'demands': [7, 4, 1]}, {'task': 12, 'start': 37, 'end': 38, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 13, 'start': 31, 'end': 32, 'duration': 1, 'demands': [1, 3, 2]}, {'task': 14, 'start': 0, 'end': 7, 'duration': 7, 'demands': [2, 3, 2]}, {'task': 15, 'start': 0, 'end': 3, 'duration': 3, 'demands': [0, 0, 0]}, {'task': 16, 'start': 37, 'end': 41, 'duration': 4, 'demands': [2, 1, 3]}]",41.0,"{'problem_type': 'RCPSP', 'nr_tasks': 17, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17'], 'resources': [1, 2, 3], 'resource_capacities': [{'resource_id': 1, 'capacity': 7}, {'resource_id': 2, 'capacity': 10}, {'resource_id': 3, 'capacity': 7}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3']}, {'task_id': 'T2', 'duration': 2, 'demands': [2, 2, 2], 'successors': ['T4', 'T5', 'T6']}, {'task_id': 'T3', 'duration': 3, 'demands': [2, 7, 2], 'successors': ['T8', 'T11']}, {'task_id': 'T4', 'duration': 8, 'demands': [2, 1, 3], 'successors': ['T10', 'T3']}, {'task_id': 'T5', 'duration': 3, 'demands': [7, 2, 2], 'successors': ['T6', 'T7', 'T12', 'T11']}, {'task_id': 'T6', 'duration': 5, 'demands': [2, 0, 2], 'successors': ['T11', 'T14']}, {'task_id': 'T7', 'duration': 3, 'demands': [2, 2, 1], 'successors': []}, {'task_id': 'T8', 'duration': 4, 'demands': [3, 2, 1], 'successors': ['T9']}, {'task_id': 'T9', 'duration': 5, 'demands': [1, 3, 2], 'successors': ['T13', 'T6']}, {'task_id': 'T10', 'duration': 2, 'demands': [5, 2, 5], 'successors': ['T11', 'T8']}, {'task_id': 'T11', 'duration': 3, 'demands': [6, 2, 0], 'successors': ['T12', 'T7']}, {'task_id': 'T12', 'duration': 3, 'demands': [7, 4, 1], 'successors': ['T13', 'T17']}, {'task_id': 'T13', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}, {'task_id': 'T14', 'duration': 1, 'demands': [1, 3, 2], 'successors': ['T17']}, {'task_id': 'T15', 'duration': 7, 'demands': [2, 3, 2], 'successors': ['T8']}, {'task_id': 'T16', 'duration': 3, 'demands': [0, 0, 0], 'successors': ['T10']}, {'task_id': 'T17', 'duration': 4, 'demands': [2, 1, 3], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 1, 'end': 3, 'duration': 2, 'demands': [2, 2, 2]}, {'task': 'T3', 'start': 11, 'end': 14, 'duration': 3, 'demands': [2, 7, 2]}, {'task': 'T4', 'start': 3, 'end': 11, 'duration': 8, 'demands': [2, 1, 3]}, {'task': 'T5', 'start': 23, 'end': 26, 'duration': 3, 'demands': [7, 2, 2]}, {'task': 'T6', 'start': 26, 'end': 31, 'duration': 5, 'demands': [2, 0, 2]}, {'task': 'T7', 'start': 37, 'end': 40, 'duration': 3, 'demands': [2, 2, 1]}, {'task': 'T8', 'start': 14, 'end': 18, 'duration': 4, 'demands': [3, 2, 1]}, {'task': 'T9', 'start': 18, 'end': 23, 'duration': 5, 'demands': [1, 3, 2]}, {'task': 'T10', 'start': 11, 'end': 13, 'duration': 2, 'demands': [5, 2, 5]}, {'task': 'T11', 'start': 31, 'end': 34, 'duration': 3, 'demands': [6, 2, 0]}, {'task': 'T12', 'start': 34, 'end': 37, 'duration': 3, 'demands': [7, 4, 1]}, {'task': 'T13', 'start': 37, 'end': 38, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T14', 'start': 31, 'end': 32, 'duration': 1, 'demands': [1, 3, 2]}, {'task': 'T15', 'start': 0, 'end': 7, 'duration': 7, 'demands': [2, 3, 2]}, {'task': 'T16', 'start': 0, 'end': 3, 'duration': 3, 'demands': [0, 0, 0]}, {'task': 'T17', 'start': 37, 'end': 41, 'duration': 4, 'demands': [2, 1, 3]}]",40,markdown_table,1
RCPSP,RCPSP,"I like to imagine a busy shop where five things need to happen in order — chassis assembly, then engine installation, then wiring, then testing, and finally certification. The choice to make is when to start each of those steps so they all run in a smooth sequence: some steps can’t start until specific earlier ones finish. Each step always takes a fixed amount of time and needs a certain number of lifts and technicians while it runs, and the lifts and techs are limited, so the schedule can’t ask for more people or lifts at once than exist. The better the plan, the sooner the vehicle is truly finished — measure that by the time the certification step finishes — and every step must be scheduled exactly once, no skipping or doubling up. The concrete details are shown below.
# num_production_steps=18
# num_resource_types=3
# resources=0, 1, 2
resource_id,capacity
0,10
1,12
2,9
step_id,step_duration,resource_demands,successor_steps
T1,1,""0, 0, 0"",""T2, T3, T4""
T2,4,""2, 4, 1"",""T5, T7""
T3,2,""6, 4, 4"",""T6, T8""
T4,1,""8, 3, 4"",""T6, T7""
T5,3,""8, 1, 2"",""T10""
T6,8,""6, 5, 6"",""T9, T10""
T7,8,""5, 6, 3"",""T9""
T8,5,""4, 5, 3"",""T9, T10, T15""
T9,1,""2, 2, 3"",""T11""
T10,2,""2, 2, 3"",""T11, T12""
T11,3,""1, 3, 4"",""T14""
T12,6,""7, 6, 5"",""T13""
T13,1,""5, 4, 5"",""none""
T14,4,""8, 2, 4"",""T16, T18""
T15,1,""5, 2, 1"",""T17""
T16,6,""3, 4, 2"",""T17""
T17,9,""0, 1, 5"",""T18""
T18,1,""0, 0, 0"",""none""
Also, when you send the schedule back, it helps to follow a tiny JSON layout so it's easy to read — something casual and predictable like this:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
This just shows the shape I expect: ""solution"" is a list of task entries, each entry records which task it is and the start and end times for that task. Think of it as a simple form: one line per step, with when it begins and when it wraps up. It's just a sketch of the expected shape, not the actual schedule.
Please make sure every task identifier you use matches exactly what's in the instance input — do not rename identifiers or invent new labels. Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'nr_tasks': 18, 'nr_resources': 3, 'capacities': [10, 12, 9], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2, 3]}, {'duration': 4, 'demands': [2, 4, 1], 'successors': [4, 6]}, {'duration': 2, 'demands': [6, 4, 4], 'successors': [5, 7]}, {'duration': 1, 'demands': [8, 3, 4], 'successors': [5, 6]}, {'duration': 3, 'demands': [8, 1, 2], 'successors': [9]}, {'duration': 8, 'demands': [6, 5, 6], 'successors': [8, 9]}, {'duration': 8, 'demands': [5, 6, 3], 'successors': [8]}, {'duration': 5, 'demands': [4, 5, 3], 'successors': [8, 9, 14]}, {'duration': 1, 'demands': [2, 2, 3], 'successors': [10]}, {'duration': 2, 'demands': [2, 2, 3], 'successors': [10, 11]}, {'duration': 3, 'demands': [1, 3, 4], 'successors': [13]}, {'duration': 6, 'demands': [7, 6, 5], 'successors': [12]}, {'duration': 1, 'demands': [5, 4, 5], 'successors': []}, {'duration': 4, 'demands': [8, 2, 4], 'successors': [15, 17]}, {'duration': 1, 'demands': [5, 2, 1], 'successors': [16]}, {'duration': 6, 'demands': [3, 4, 2], 'successors': [16]}, {'duration': 9, 'demands': [0, 1, 5], 'successors': [17]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 1, 'end': 5, 'duration': 4, 'demands': [2, 4, 1]}, {'task': 2, 'start': 1, 'end': 3, 'duration': 2, 'demands': [6, 4, 4]}, {'task': 3, 'start': 3, 'end': 4, 'duration': 1, 'demands': [8, 3, 4]}, {'task': 4, 'start': 12, 'end': 15, 'duration': 3, 'demands': [8, 1, 2]}, {'task': 5, 'start': 4, 'end': 12, 'duration': 8, 'demands': [6, 5, 6]}, {'task': 6, 'start': 15, 'end': 23, 'duration': 8, 'demands': [5, 6, 3]}, {'task': 7, 'start': 5, 'end': 10, 'duration': 5, 'demands': [4, 5, 3]}, {'task': 8, 'start': 23, 'end': 24, 'duration': 1, 'demands': [2, 2, 3]}, {'task': 9, 'start': 15, 'end': 17, 'duration': 2, 'demands': [2, 2, 3]}, {'task': 10, 'start': 24, 'end': 27, 'duration': 3, 'demands': [1, 3, 4]}, {'task': 11, 'start': 31, 'end': 37, 'duration': 6, 'demands': [7, 6, 5]}, {'task': 12, 'start': 46, 'end': 47, 'duration': 1, 'demands': [5, 4, 5]}, {'task': 13, 'start': 27, 'end': 31, 'duration': 4, 'demands': [8, 2, 4]}, {'task': 14, 'start': 17, 'end': 18, 'duration': 1, 'demands': [5, 2, 1]}, {'task': 15, 'start': 31, 'end': 37, 'duration': 6, 'demands': [3, 4, 2]}, {'task': 16, 'start': 37, 'end': 46, 'duration': 9, 'demands': [0, 1, 5]}, {'task': 17, 'start': 46, 'end': 47, 'duration': 1, 'demands': [0, 0, 0]}]",47.0,"{'problem_type': 'RCPSP', 'nr_tasks': 18, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18'], 'resources': [0, 1, 2], 'resource_capacities': [{'resource_id': 0, 'capacity': 10}, {'resource_id': 1, 'capacity': 12}, {'resource_id': 2, 'capacity': 9}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3', 'T4']}, {'task_id': 'T2', 'duration': 4, 'demands': [2, 4, 1], 'successors': ['T5', 'T7']}, {'task_id': 'T3', 'duration': 2, 'demands': [6, 4, 4], 'successors': ['T6', 'T8']}, {'task_id': 'T4', 'duration': 1, 'demands': [8, 3, 4], 'successors': ['T6', 'T7']}, {'task_id': 'T5', 'duration': 3, 'demands': [8, 1, 2], 'successors': ['T10']}, {'task_id': 'T6', 'duration': 8, 'demands': [6, 5, 6], 'successors': ['T9', 'T10']}, {'task_id': 'T7', 'duration': 8, 'demands': [5, 6, 3], 'successors': ['T9']}, {'task_id': 'T8', 'duration': 5, 'demands': [4, 5, 3], 'successors': ['T9', 'T10', 'T15']}, {'task_id': 'T9', 'duration': 1, 'demands': [2, 2, 3], 'successors': ['T11']}, {'task_id': 'T10', 'duration': 2, 'demands': [2, 2, 3], 'successors': ['T11', 'T12']}, {'task_id': 'T11', 'duration': 3, 'demands': [1, 3, 4], 'successors': ['T14']}, {'task_id': 'T12', 'duration': 6, 'demands': [7, 6, 5], 'successors': ['T13']}, {'task_id': 'T13', 'duration': 1, 'demands': [5, 4, 5], 'successors': []}, {'task_id': 'T14', 'duration': 4, 'demands': [8, 2, 4], 'successors': ['T16', 'T18']}, {'task_id': 'T15', 'duration': 1, 'demands': [5, 2, 1], 'successors': ['T17']}, {'task_id': 'T16', 'duration': 6, 'demands': [3, 4, 2], 'successors': ['T17']}, {'task_id': 'T17', 'duration': 9, 'demands': [0, 1, 5], 'successors': ['T18']}, {'task_id': 'T18', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 1, 'end': 5, 'duration': 4, 'demands': [2, 4, 1]}, {'task': 'T3', 'start': 1, 'end': 3, 'duration': 2, 'demands': [6, 4, 4]}, {'task': 'T4', 'start': 3, 'end': 4, 'duration': 1, 'demands': [8, 3, 4]}, {'task': 'T5', 'start': 12, 'end': 15, 'duration': 3, 'demands': [8, 1, 2]}, {'task': 'T6', 'start': 4, 'end': 12, 'duration': 8, 'demands': [6, 5, 6]}, {'task': 'T7', 'start': 15, 'end': 23, 'duration': 8, 'demands': [5, 6, 3]}, {'task': 'T8', 'start': 5, 'end': 10, 'duration': 5, 'demands': [4, 5, 3]}, {'task': 'T9', 'start': 23, 'end': 24, 'duration': 1, 'demands': [2, 2, 3]}, {'task': 'T10', 'start': 15, 'end': 17, 'duration': 2, 'demands': [2, 2, 3]}, {'task': 'T11', 'start': 24, 'end': 27, 'duration': 3, 'demands': [1, 3, 4]}, {'task': 'T12', 'start': 31, 'end': 37, 'duration': 6, 'demands': [7, 6, 5]}, {'task': 'T13', 'start': 46, 'end': 47, 'duration': 1, 'demands': [5, 4, 5]}, {'task': 'T14', 'start': 27, 'end': 31, 'duration': 4, 'demands': [8, 2, 4]}, {'task': 'T15', 'start': 17, 'end': 18, 'duration': 1, 'demands': [5, 2, 1]}, {'task': 'T16', 'start': 31, 'end': 37, 'duration': 6, 'demands': [3, 4, 2]}, {'task': 'T17', 'start': 37, 'end': 46, 'duration': 9, 'demands': [0, 1, 5]}, {'task': 'T18', 'start': 46, 'end': 47, 'duration': 1, 'demands': [0, 0, 0]}]",41,csv,0
RCPSP,RCPSP,"At the gallery there’s a little choreography to plan: hang the pieces, tweak the lights, attach labels, let the curator do an inspection, then do the opening run-through. Each of those steps takes a known amount of time and consumes a certain number of installers and lighting rigs while it runs, and some steps can’t start until others finish. The planner’s job is to pick start times for each step so each one happens once, the available people and equipment aren’t overused at any moment, and the whole setup completes as early as possible — judged by the clock time when the final step finishes. The specifics — durations, available installers/rigs, and who depends on whom — are listed below.
Here are the 21 steps, the 3 resource types tracked, and the resource capacities .
| resource_id | capacity |
|---|---|
| 0 | 11 |
| 1 | 14 |
| 2 | 14 |
| step_id | step_duration | resource_demands | following_steps |
|---|---|---|---|
| T1 | 1 | 0, 0, 0 | T2, T4 |
| T2 | 2 | 2, 6, 3 | T5, T8 |
| T3 | 6 | 7, 5, 5 | T6, T7 |
| T4 | 4 | 6, 4, 3 | T5, T7 |
| T5 | 1 | 3, 2, 2 | T9 |
| T6 | 7 | 4, 6, 6 | T9, T10 |
| T7 | 5 | 2, 4, 2 | T11 |
| T8 | 8 | 1, 3, 6 | T10, T11 |
| T9 | 4 | 4, 1, 3 | T12 |
| T10 | 2 | 5, 2, 6 | T13 |
| T11 | 9 | 2, 4, 3 | T13, T14, T15 |
| T12 | 4 | 2, 7, 5 | T16 |
| T13 | 1 | 4, 4, 1 | T18 |
| T14 | 3 | 3, 9, 6 | T16 |
| T15 | 4 | 1, 4, 5 | T16, T17 |
| T16 | 7 | 4, 7, 4 | T19 |
| T17 | 1 | 3, 2, 2 | none |
| T18 | 4 | 7, 6, 5 | none |
| T19 | 2 | 1, 8, 11 | T21 |
| T20 | 11 | 1, 8, 3 | T21 |
| T21 | 1 | 0, 0, 0 | none |
Schedule start times so each of the 21 steps happens once, the capacities are never exceeded, and the whole setup finishes as early as possible.
When you’re ready to hand me the schedule, a simple JSON layout like the one below is perfect — it’s just a tiny form that says which task starts and when it ends.
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
Think of that as a little checklist: ""solution"" is the list of steps (each step is an object), ""task"" is the task identifier from the instance, and ""start"" and ""end"" are when that step begins and finishes (using the same time units as the instance). This block is only a sketch of the shape I’m expecting, not your actual answer.
Please make sure to use the exact identifiers from the instance input — no renaming and no new labels. Valid identifiers look like plain numbers such as ""1"" or ""23"", single capital letters like ""A"" or ""B"", or a capital letter followed by digits like ""A1"" or ""X7"".","{'nr_tasks': 21, 'nr_resources': 3, 'capacities': [11, 14, 14], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 3]}, {'duration': 2, 'demands': [2, 6, 3], 'successors': [4, 7]}, {'duration': 6, 'demands': [7, 5, 5], 'successors': [5, 6]}, {'duration': 4, 'demands': [6, 4, 3], 'successors': [4, 6]}, {'duration': 1, 'demands': [3, 2, 2], 'successors': [8]}, {'duration': 7, 'demands': [4, 6, 6], 'successors': [8, 9]}, {'duration': 5, 'demands': [2, 4, 2], 'successors': [10]}, {'duration': 8, 'demands': [1, 3, 6], 'successors': [9, 10]}, {'duration': 4, 'demands': [4, 1, 3], 'successors': [11]}, {'duration': 2, 'demands': [5, 2, 6], 'successors': [12]}, {'duration': 9, 'demands': [2, 4, 3], 'successors': [12, 13, 14]}, {'duration': 4, 'demands': [2, 7, 5], 'successors': [15]}, {'duration': 1, 'demands': [4, 4, 1], 'successors': [17]}, {'duration': 3, 'demands': [3, 9, 6], 'successors': [15]}, {'duration': 4, 'demands': [1, 4, 5], 'successors': [15, 16]}, {'duration': 7, 'demands': [4, 7, 4], 'successors': [18]}, {'duration': 1, 'demands': [3, 2, 2], 'successors': []}, {'duration': 4, 'demands': [7, 6, 5], 'successors': []}, {'duration': 2, 'demands': [1, 8, 11], 'successors': [20]}, {'duration': 11, 'demands': [1, 8, 3], 'successors': [20]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 6, 'end': 8, 'duration': 2, 'demands': [2, 6, 3]}, {'task': 2, 'start': 0, 'end': 6, 'duration': 6, 'demands': [7, 5, 5]}, {'task': 3, 'start': 8, 'end': 12, 'duration': 4, 'demands': [6, 4, 3]}, {'task': 4, 'start': 17, 'end': 18, 'duration': 1, 'demands': [3, 2, 2]}, {'task': 5, 'start': 12, 'end': 19, 'duration': 7, 'demands': [4, 6, 6]}, {'task': 6, 'start': 12, 'end': 17, 'duration': 5, 'demands': [2, 4, 2]}, {'task': 7, 'start': 11, 'end': 19, 'duration': 8, 'demands': [1, 3, 6]}, {'task': 8, 'start': 19, 'end': 23, 'duration': 4, 'demands': [4, 1, 3]}, {'task': 9, 'start': 19, 'end': 21, 'duration': 2, 'demands': [5, 2, 6]}, {'task': 10, 'start': 19, 'end': 28, 'duration': 9, 'demands': [2, 4, 3]}, {'task': 11, 'start': 23, 'end': 27, 'duration': 4, 'demands': [2, 7, 5]}, {'task': 12, 'start': 31, 'end': 32, 'duration': 1, 'demands': [4, 4, 1]}, {'task': 13, 'start': 28, 'end': 31, 'duration': 3, 'demands': [3, 9, 6]}, {'task': 14, 'start': 28, 'end': 32, 'duration': 4, 'demands': [1, 4, 5]}, {'task': 15, 'start': 32, 'end': 39, 'duration': 7, 'demands': [4, 7, 4]}, {'task': 16, 'start': 36, 'end': 37, 'duration': 1, 'demands': [3, 2, 2]}, {'task': 17, 'start': 32, 'end': 36, 'duration': 4, 'demands': [7, 6, 5]}, {'task': 18, 'start': 39, 'end': 41, 'duration': 2, 'demands': [1, 8, 11]}, {'task': 19, 'start': 0, 'end': 11, 'duration': 11, 'demands': [1, 8, 3]}, {'task': 20, 'start': 41, 'end': 42, 'duration': 1, 'demands': [0, 0, 0]}]",42.0,"{'problem_type': 'RCPSP', 'nr_tasks': 21, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18', 'T19', 'T20', 'T21'], 'resources': [0, 1, 2], 'resource_capacities': [{'resource_id': 0, 'capacity': 11}, {'resource_id': 1, 'capacity': 14}, {'resource_id': 2, 'capacity': 14}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T4']}, {'task_id': 'T2', 'duration': 2, 'demands': [2, 6, 3], 'successors': ['T5', 'T8']}, {'task_id': 'T3', 'duration': 6, 'demands': [7, 5, 5], 'successors': ['T6', 'T7']}, {'task_id': 'T4', 'duration': 4, 'demands': [6, 4, 3], 'successors': ['T5', 'T7']}, {'task_id': 'T5', 'duration': 1, 'demands': [3, 2, 2], 'successors': ['T9']}, {'task_id': 'T6', 'duration': 7, 'demands': [4, 6, 6], 'successors': ['T9', 'T10']}, {'task_id': 'T7', 'duration': 5, 'demands': [2, 4, 2], 'successors': ['T11']}, {'task_id': 'T8', 'duration': 8, 'demands': [1, 3, 6], 'successors': ['T10', 'T11']}, {'task_id': 'T9', 'duration': 4, 'demands': [4, 1, 3], 'successors': ['T12']}, {'task_id': 'T10', 'duration': 2, 'demands': [5, 2, 6], 'successors': ['T13']}, {'task_id': 'T11', 'duration': 9, 'demands': [2, 4, 3], 'successors': ['T13', 'T14', 'T15']}, {'task_id': 'T12', 'duration': 4, 'demands': [2, 7, 5], 'successors': ['T16']}, {'task_id': 'T13', 'duration': 1, 'demands': [4, 4, 1], 'successors': ['T18']}, {'task_id': 'T14', 'duration': 3, 'demands': [3, 9, 6], 'successors': ['T16']}, {'task_id': 'T15', 'duration': 4, 'demands': [1, 4, 5], 'successors': ['T16', 'T17']}, {'task_id': 'T16', 'duration': 7, 'demands': [4, 7, 4], 'successors': ['T19']}, {'task_id': 'T17', 'duration': 1, 'demands': [3, 2, 2], 'successors': []}, {'task_id': 'T18', 'duration': 4, 'demands': [7, 6, 5], 'successors': []}, {'task_id': 'T19', 'duration': 2, 'demands': [1, 8, 11], 'successors': ['T21']}, {'task_id': 'T20', 'duration': 11, 'demands': [1, 8, 3], 'successors': ['T21']}, {'task_id': 'T21', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 6, 'end': 8, 'duration': 2, 'demands': [2, 6, 3]}, {'task': 'T3', 'start': 0, 'end': 6, 'duration': 6, 'demands': [7, 5, 5]}, {'task': 'T4', 'start': 8, 'end': 12, 'duration': 4, 'demands': [6, 4, 3]}, {'task': 'T5', 'start': 17, 'end': 18, 'duration': 1, 'demands': [3, 2, 2]}, {'task': 'T6', 'start': 12, 'end': 19, 'duration': 7, 'demands': [4, 6, 6]}, {'task': 'T7', 'start': 12, 'end': 17, 'duration': 5, 'demands': [2, 4, 2]}, {'task': 'T8', 'start': 11, 'end': 19, 'duration': 8, 'demands': [1, 3, 6]}, {'task': 'T9', 'start': 19, 'end': 23, 'duration': 4, 'demands': [4, 1, 3]}, {'task': 'T10', 'start': 19, 'end': 21, 'duration': 2, 'demands': [5, 2, 6]}, {'task': 'T11', 'start': 19, 'end': 28, 'duration': 9, 'demands': [2, 4, 3]}, {'task': 'T12', 'start': 23, 'end': 27, 'duration': 4, 'demands': [2, 7, 5]}, {'task': 'T13', 'start': 31, 'end': 32, 'duration': 1, 'demands': [4, 4, 1]}, {'task': 'T14', 'start': 28, 'end': 31, 'duration': 3, 'demands': [3, 9, 6]}, {'task': 'T15', 'start': 28, 'end': 32, 'duration': 4, 'demands': [1, 4, 5]}, {'task': 'T16', 'start': 32, 'end': 39, 'duration': 7, 'demands': [4, 7, 4]}, {'task': 'T17', 'start': 36, 'end': 37, 'duration': 1, 'demands': [3, 2, 2]}, {'task': 'T18', 'start': 32, 'end': 36, 'duration': 4, 'demands': [7, 6, 5]}, {'task': 'T19', 'start': 39, 'end': 41, 'duration': 2, 'demands': [1, 8, 11]}, {'task': 'T20', 'start': 0, 'end': 11, 'duration': 11, 'demands': [1, 8, 3]}, {'task': 'T21', 'start': 41, 'end': 42, 'duration': 1, 'demands': [0, 0, 0]}]",42,markdown_table,0
RCPSP,RCPSP,"Many people on the team are involved in a pipeline: scanning, metadata entry, quality checks, and finally releasing the digitized items. Every step takes a fixed time and needs a few scanners or catalogers while it’s happening, and some steps can’t start until others are finished. The decision is about when each step should begin so resources never exceed their limits, no task is skipped or duplicated, and the project’s over as soon as possible — that “over” moment is simply when the final task finishes (look at all end times and pick the latest). The specific timings and capacities are listed below.
There are 21 distinct pipeline steps, 3 resource types, and the available capacities for the whole project are .
Step T1 runs for 1, consumes 0, 0, 0 while active, and must finish before these downstream steps start: T2, T3, T4.
Step T2 runs for 2, consumes 5, 9, 2 while active, and must finish before these downstream steps start: T5, T6.
Step T3 runs for 1, consumes 5, 7, 4 while active, and must finish before these downstream steps start: T5, T6.
Step T4 runs for 8, consumes 7, 3, 3 while active, and must finish before these downstream steps start: T6, T7, T8.
Step T5 runs for 1, consumes 6, 1, 5 while active, and must finish before these downstream steps start: T9, T11.
Step T6 runs for 8, consumes 8, 6, 3 while active, and must finish before these downstream steps start: T9, T11.
Step T7 runs for 2, consumes 2, 8, 1 while active, and must finish before these downstream steps start: T9.
Step T8 runs for 2, consumes 1, 5, 5 while active, and must finish before these downstream steps start: T10, T11.
Step T9 runs for 17, consumes 4, 1, 4 while active, and must finish before these downstream steps start: T12.
Step T10 runs for 9, consumes 6, 3, 2 while active, and must finish before these downstream steps start: T13, T15.
Step T11 runs for 1, consumes 2, 2, 2 while active, and must finish before these downstream steps start: T14.
Step T12 runs for 2, consumes 1, 4, 5 while active, and must finish before these downstream steps start: T18.
Step T13 runs for 3, consumes 1, 2, 2 while active, and must finish before these downstream steps start: none.
Step T14 runs for 3, consumes 7, 3, 4 while active, and must finish before these downstream steps start: T17.
Step T15 runs for 3, consumes 1, 4, 3 while active, and must finish before these downstream steps start: T16.
Step T16 runs for 4, consumes 6, 5, 3 while active, and must finish before these downstream steps start: T19, T20.
Step T17 runs for 3, consumes 3, 3, 5 while active, and must finish before these downstream steps start: T19.
Step T18 runs for 12, consumes 7, 2, 4 while active, and must finish before these downstream steps start: T19.
Step T19 runs for 8, consumes 4, 6, 5 while active, and must finish before these downstream steps start: T21.
Step T20 runs for 3, consumes 2, 10, 4 while active, and must finish before these downstream steps start: T21.
Step T21 runs for 1, consumes 0, 0, 0 while active, and must finish before these downstream steps start: none.
Start times must be chosen so resources never exceed and the project completes when the latest final step finishes.
Also, when you send the schedule back, it's easiest if you stick to a tiny JSON shape like this:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
Think of that as a simple form: ""solution"" holds a list of the steps, each entry names which task it is and the start and end times you picked. It's just an example of the shape I expect, not the actual schedule.
Please make sure to use the exact identifiers from the instance input — do not rename them or invent new labels. Valid identifiers look like plain numbers such as ""1"" or ""23"", single capital letters like ""A"" or ""B"", or a capital letter followed by digits like ""A1"" or ""X7"".","{'nr_tasks': 21, 'nr_resources': 3, 'capacities': [12, 11, 10], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2, 3]}, {'duration': 2, 'demands': [5, 9, 2], 'successors': [4, 5]}, {'duration': 1, 'demands': [5, 7, 4], 'successors': [4, 5]}, {'duration': 8, 'demands': [7, 3, 3], 'successors': [5, 6, 7]}, {'duration': 1, 'demands': [6, 1, 5], 'successors': [8, 10]}, {'duration': 8, 'demands': [8, 6, 3], 'successors': [8, 10]}, {'duration': 2, 'demands': [2, 8, 1], 'successors': [8]}, {'duration': 2, 'demands': [1, 5, 5], 'successors': [9, 10]}, {'duration': 17, 'demands': [4, 1, 4], 'successors': [11]}, {'duration': 9, 'demands': [6, 3, 2], 'successors': [12, 14]}, {'duration': 1, 'demands': [2, 2, 2], 'successors': [13]}, {'duration': 2, 'demands': [1, 4, 5], 'successors': [17]}, {'duration': 3, 'demands': [1, 2, 2], 'successors': []}, {'duration': 3, 'demands': [7, 3, 4], 'successors': [16]}, {'duration': 3, 'demands': [1, 4, 3], 'successors': [15]}, {'duration': 4, 'demands': [6, 5, 3], 'successors': [18, 19]}, {'duration': 3, 'demands': [3, 3, 5], 'successors': [18]}, {'duration': 12, 'demands': [7, 2, 4], 'successors': [18]}, {'duration': 8, 'demands': [4, 6, 5], 'successors': [20]}, {'duration': 3, 'demands': [2, 10, 4], 'successors': [20]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 9, 'end': 11, 'duration': 2, 'demands': [5, 9, 2]}, {'task': 2, 'start': 1, 'end': 2, 'duration': 1, 'demands': [5, 7, 4]}, {'task': 3, 'start': 1, 'end': 9, 'duration': 8, 'demands': [7, 3, 3]}, {'task': 4, 'start': 21, 'end': 22, 'duration': 1, 'demands': [6, 1, 5]}, {'task': 5, 'start': 11, 'end': 19, 'duration': 8, 'demands': [8, 6, 3]}, {'task': 6, 'start': 19, 'end': 21, 'duration': 2, 'demands': [2, 8, 1]}, {'task': 7, 'start': 11, 'end': 13, 'duration': 2, 'demands': [1, 5, 5]}, {'task': 8, 'start': 22, 'end': 39, 'duration': 17, 'demands': [4, 1, 4]}, {'task': 9, 'start': 19, 'end': 28, 'duration': 9, 'demands': [6, 3, 2]}, {'task': 10, 'start': 22, 'end': 23, 'duration': 1, 'demands': [2, 2, 2]}, {'task': 11, 'start': 39, 'end': 41, 'duration': 2, 'demands': [1, 4, 5]}, {'task': 12, 'start': 28, 'end': 31, 'duration': 3, 'demands': [1, 2, 2]}, {'task': 13, 'start': 38, 'end': 41, 'duration': 3, 'demands': [7, 3, 4]}, {'task': 14, 'start': 28, 'end': 31, 'duration': 3, 'demands': [1, 4, 3]}, {'task': 15, 'start': 31, 'end': 35, 'duration': 4, 'demands': [6, 5, 3]}, {'task': 16, 'start': 41, 'end': 44, 'duration': 3, 'demands': [3, 3, 5]}, {'task': 17, 'start': 41, 'end': 53, 'duration': 12, 'demands': [7, 2, 4]}, {'task': 18, 'start': 53, 'end': 61, 'duration': 8, 'demands': [4, 6, 5]}, {'task': 19, 'start': 35, 'end': 38, 'duration': 3, 'demands': [2, 10, 4]}, {'task': 20, 'start': 61, 'end': 62, 'duration': 1, 'demands': [0, 0, 0]}]",62.0,"{'problem_type': 'RCPSP', 'nr_tasks': 21, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18', 'T19', 'T20', 'T21'], 'resources': [1, 2, 3], 'resource_capacities': [{'resource_id': 1, 'capacity': 12}, {'resource_id': 2, 'capacity': 11}, {'resource_id': 3, 'capacity': 10}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3', 'T4']}, {'task_id': 'T2', 'duration': 2, 'demands': [5, 9, 2], 'successors': ['T5', 'T6']}, {'task_id': 'T3', 'duration': 1, 'demands': [5, 7, 4], 'successors': ['T5', 'T6']}, {'task_id': 'T4', 'duration': 8, 'demands': [7, 3, 3], 'successors': ['T6', 'T7', 'T8']}, {'task_id': 'T5', 'duration': 1, 'demands': [6, 1, 5], 'successors': ['T9', 'T11']}, {'task_id': 'T6', 'duration': 8, 'demands': [8, 6, 3], 'successors': ['T9', 'T11']}, {'task_id': 'T7', 'duration': 2, 'demands': [2, 8, 1], 'successors': ['T9']}, {'task_id': 'T8', 'duration': 2, 'demands': [1, 5, 5], 'successors': ['T10', 'T11']}, {'task_id': 'T9', 'duration': 17, 'demands': [4, 1, 4], 'successors': ['T12']}, {'task_id': 'T10', 'duration': 9, 'demands': [6, 3, 2], 'successors': ['T13', 'T15']}, {'task_id': 'T11', 'duration': 1, 'demands': [2, 2, 2], 'successors': ['T14']}, {'task_id': 'T12', 'duration': 2, 'demands': [1, 4, 5], 'successors': ['T18']}, {'task_id': 'T13', 'duration': 3, 'demands': [1, 2, 2], 'successors': []}, {'task_id': 'T14', 'duration': 3, 'demands': [7, 3, 4], 'successors': ['T17']}, {'task_id': 'T15', 'duration': 3, 'demands': [1, 4, 3], 'successors': ['T16']}, {'task_id': 'T16', 'duration': 4, 'demands': [6, 5, 3], 'successors': ['T19', 'T20']}, {'task_id': 'T17', 'duration': 3, 'demands': [3, 3, 5], 'successors': ['T19']}, {'task_id': 'T18', 'duration': 12, 'demands': [7, 2, 4], 'successors': ['T19']}, {'task_id': 'T19', 'duration': 8, 'demands': [4, 6, 5], 'successors': ['T21']}, {'task_id': 'T20', 'duration': 3, 'demands': [2, 10, 4], 'successors': ['T21']}, {'task_id': 'T21', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 9, 'end': 11, 'duration': 2, 'demands': [5, 9, 2]}, {'task': 'T3', 'start': 1, 'end': 2, 'duration': 1, 'demands': [5, 7, 4]}, {'task': 'T4', 'start': 1, 'end': 9, 'duration': 8, 'demands': [7, 3, 3]}, {'task': 'T5', 'start': 21, 'end': 22, 'duration': 1, 'demands': [6, 1, 5]}, {'task': 'T6', 'start': 11, 'end': 19, 'duration': 8, 'demands': [8, 6, 3]}, {'task': 'T7', 'start': 19, 'end': 21, 'duration': 2, 'demands': [2, 8, 1]}, {'task': 'T8', 'start': 11, 'end': 13, 'duration': 2, 'demands': [1, 5, 5]}, {'task': 'T9', 'start': 22, 'end': 39, 'duration': 17, 'demands': [4, 1, 4]}, {'task': 'T10', 'start': 19, 'end': 28, 'duration': 9, 'demands': [6, 3, 2]}, {'task': 'T11', 'start': 22, 'end': 23, 'duration': 1, 'demands': [2, 2, 2]}, {'task': 'T12', 'start': 39, 'end': 41, 'duration': 2, 'demands': [1, 4, 5]}, {'task': 'T13', 'start': 28, 'end': 31, 'duration': 3, 'demands': [1, 2, 2]}, {'task': 'T14', 'start': 38, 'end': 41, 'duration': 3, 'demands': [7, 3, 4]}, {'task': 'T15', 'start': 28, 'end': 31, 'duration': 3, 'demands': [1, 4, 3]}, {'task': 'T16', 'start': 31, 'end': 35, 'duration': 4, 'demands': [6, 5, 3]}, {'task': 'T17', 'start': 41, 'end': 44, 'duration': 3, 'demands': [3, 3, 5]}, {'task': 'T18', 'start': 41, 'end': 53, 'duration': 12, 'demands': [7, 2, 4]}, {'task': 'T19', 'start': 53, 'end': 61, 'duration': 8, 'demands': [4, 6, 5]}, {'task': 'T20', 'start': 35, 'end': 38, 'duration': 3, 'demands': [2, 10, 4]}, {'task': 'T21', 'start': 61, 'end': 62, 'duration': 1, 'demands': [0, 0, 0]}]",43,nl,1
RCPSP,RCPSP,"We’re looking at a typical maintenance cycle: first a safety walk-through, then ordering parts, followed by replacing worn components, calibrating the gear, and a final verification pass. Each activity lasts a set amount of time and needs inspectors and a limited number of specialized tools while it’s happening, and some activities have to wait for others to finish. The plan is to set the start time for each activity so every item is done once (no skipping or doubling up), we never overbook inspectors or tools at the same time, and the entire cycle completes as early as possible — the finish time being when the last task ends. The exact task times, resource limits, and required order are listed below.
We have 21 activities, 3 resource types, and resource capacities .
We perform T1 for 1 time units, it requires 0, 0, 0 while running, and it must finish before T2, T3, T4, T16, T17 can start.
We perform T2 for 3 time units, it requires 3, 3, 9 while running, and it must finish before T5 can start.
We perform T3 for 4 time units, it requires 2, 6, 0 while running, and it must finish before T6, T7, T8 can start.
We perform T4 for 3 time units, it requires 2, 3, 2 while running, and it must finish before T9, T10 can start.
We perform T5 for 6 time units, it requires 5, 2, 2 while running, and it must finish before none can start.
We perform T6 for 1 time units, it requires 5, 2, 8 while running, and it must finish before T11 can start.
We perform T7 for 2 time units, it requires 5, 0, 2 while running, and it must finish before T13 can start.
We perform T8 for 4 time units, it requires 5, 5, 6 while running, and it must finish before T14, T15 can start.
We perform T9 for 5 time units, it requires 3, 9, 4 while running, and it must finish before T21 can start.
We perform T10 for 1 time units, it requires 3, 7, 0 while running, and it must finish before T14, T15 can start.
We perform T11 for 1 time units, it requires 2, 4, 1 while running, and it must finish before T18 can start.
We perform T12 for 10 time units, it requires 10, 2, 3 while running, and it must finish before none can start.
We perform T13 for 2 time units, it requires 9, 9, 2 while running, and it must finish before T21 can start.
We perform T14 for 5 time units, it requires 7, 2, 4 while running, and it must finish before T21 can start.
We perform T15 for 5 time units, it requires 0, 6, 8 while running, and it must finish before T20 can start.
We perform T16 for 1 time units, it requires 0, 0, 0 while running, and it must finish before T18 can start.
We perform T17 for 1 time units, it requires 0, 0, 0 while running, and it must finish before T20 can start.
We perform T18 for 6 time units, it requires 1, 4, 0 while running, and it must finish before none can start.
We perform T19 for 3 time units, it requires 6, 3, 3 while running, and it must finish before none can start.
We perform T20 for 1 time units, it requires 2, 1, 2 while running, and it must finish before T21 can start.
We perform T21 for 1 time units, it requires 0, 0, 0 while running, and it must finish before none can start.
We will set start times so all 21 activities are done once and the cycle finishes as early as possible without exceeding the listed capacities .
You can just hand the schedule back in a tiny JSON snippet like this — one ""solution"" array with an entry per activity:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
This shows the shape I expect: each object in the solution list is one activity, ""task"" is that activity's identifier, ""start"" is when it begins, and ""end"" is when it finishes. Think of it like a simple to-do list with start/end times — nothing fancy. This is just a sketch of the expected format, not the actual schedule.
Please make sure to use the exact identifiers from the instance input — do not rename them or invent new labels. Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'nr_tasks': 21, 'nr_resources': 3, 'capacities': [11, 14, 9], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2, 3, 15, 16]}, {'duration': 3, 'demands': [3, 3, 9], 'successors': [4]}, {'duration': 4, 'demands': [2, 6, 0], 'successors': [5, 6, 7]}, {'duration': 3, 'demands': [2, 3, 2], 'successors': [8, 9]}, {'duration': 6, 'demands': [5, 2, 2], 'successors': []}, {'duration': 1, 'demands': [5, 2, 8], 'successors': [10]}, {'duration': 2, 'demands': [5, 0, 2], 'successors': [12]}, {'duration': 4, 'demands': [5, 5, 6], 'successors': [13, 14]}, {'duration': 5, 'demands': [3, 9, 4], 'successors': [20]}, {'duration': 1, 'demands': [3, 7, 0], 'successors': [13, 14]}, {'duration': 1, 'demands': [2, 4, 1], 'successors': [17]}, {'duration': 10, 'demands': [10, 2, 3], 'successors': []}, {'duration': 2, 'demands': [9, 9, 2], 'successors': [20]}, {'duration': 5, 'demands': [7, 2, 4], 'successors': [20]}, {'duration': 5, 'demands': [0, 6, 8], 'successors': [19]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': [17]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': [19]}, {'duration': 6, 'demands': [1, 4, 0], 'successors': []}, {'duration': 3, 'demands': [6, 3, 3], 'successors': []}, {'duration': 1, 'demands': [2, 1, 2], 'successors': [20]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 1, 'end': 4, 'duration': 3, 'demands': [3, 3, 9]}, {'task': 2, 'start': 1, 'end': 5, 'duration': 4, 'demands': [2, 6, 0]}, {'task': 3, 'start': 4, 'end': 7, 'duration': 3, 'demands': [2, 3, 2]}, {'task': 4, 'start': 4, 'end': 10, 'duration': 6, 'demands': [5, 2, 2]}, {'task': 5, 'start': 13, 'end': 14, 'duration': 1, 'demands': [5, 2, 8]}, {'task': 6, 'start': 11, 'end': 13, 'duration': 2, 'demands': [5, 0, 2]}, {'task': 7, 'start': 7, 'end': 11, 'duration': 4, 'demands': [5, 5, 6]}, {'task': 8, 'start': 21, 'end': 26, 'duration': 5, 'demands': [3, 9, 4]}, {'task': 9, 'start': 13, 'end': 14, 'duration': 1, 'demands': [3, 7, 0]}, {'task': 10, 'start': 14, 'end': 15, 'duration': 1, 'demands': [2, 4, 1]}, {'task': 11, 'start': 26, 'end': 36, 'duration': 10, 'demands': [10, 2, 3]}, {'task': 12, 'start': 19, 'end': 21, 'duration': 2, 'demands': [9, 9, 2]}, {'task': 13, 'start': 21, 'end': 26, 'duration': 5, 'demands': [7, 2, 4]}, {'task': 14, 'start': 14, 'end': 19, 'duration': 5, 'demands': [0, 6, 8]}, {'task': 15, 'start': 6, 'end': 7, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 16, 'start': 13, 'end': 14, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 17, 'start': 26, 'end': 32, 'duration': 6, 'demands': [1, 4, 0]}, {'task': 18, 'start': 10, 'end': 13, 'duration': 3, 'demands': [6, 3, 3]}, {'task': 19, 'start': 19, 'end': 20, 'duration': 1, 'demands': [2, 1, 2]}, {'task': 20, 'start': 26, 'end': 27, 'duration': 1, 'demands': [0, 0, 0]}]",36.0,"{'problem_type': 'RCPSP', 'nr_tasks': 21, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18', 'T19', 'T20', 'T21'], 'resources': [1, 2, 3], 'resource_capacities': [{'resource_id': 1, 'capacity': 11}, {'resource_id': 2, 'capacity': 14}, {'resource_id': 3, 'capacity': 9}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3', 'T4', 'T16', 'T17']}, {'task_id': 'T2', 'duration': 3, 'demands': [3, 3, 9], 'successors': ['T5']}, {'task_id': 'T3', 'duration': 4, 'demands': [2, 6, 0], 'successors': ['T6', 'T7', 'T8']}, {'task_id': 'T4', 'duration': 3, 'demands': [2, 3, 2], 'successors': ['T9', 'T10']}, {'task_id': 'T5', 'duration': 6, 'demands': [5, 2, 2], 'successors': []}, {'task_id': 'T6', 'duration': 1, 'demands': [5, 2, 8], 'successors': ['T11']}, {'task_id': 'T7', 'duration': 2, 'demands': [5, 0, 2], 'successors': ['T13']}, {'task_id': 'T8', 'duration': 4, 'demands': [5, 5, 6], 'successors': ['T14', 'T15']}, {'task_id': 'T9', 'duration': 5, 'demands': [3, 9, 4], 'successors': ['T21']}, {'task_id': 'T10', 'duration': 1, 'demands': [3, 7, 0], 'successors': ['T14', 'T15']}, {'task_id': 'T11', 'duration': 1, 'demands': [2, 4, 1], 'successors': ['T18']}, {'task_id': 'T12', 'duration': 10, 'demands': [10, 2, 3], 'successors': []}, {'task_id': 'T13', 'duration': 2, 'demands': [9, 9, 2], 'successors': ['T21']}, {'task_id': 'T14', 'duration': 5, 'demands': [7, 2, 4], 'successors': ['T21']}, {'task_id': 'T15', 'duration': 5, 'demands': [0, 6, 8], 'successors': ['T20']}, {'task_id': 'T16', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T18']}, {'task_id': 'T17', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T20']}, {'task_id': 'T18', 'duration': 6, 'demands': [1, 4, 0], 'successors': []}, {'task_id': 'T19', 'duration': 3, 'demands': [6, 3, 3], 'successors': []}, {'task_id': 'T20', 'duration': 1, 'demands': [2, 1, 2], 'successors': ['T21']}, {'task_id': 'T21', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 1, 'end': 4, 'duration': 3, 'demands': [3, 3, 9]}, {'task': 'T3', 'start': 1, 'end': 5, 'duration': 4, 'demands': [2, 6, 0]}, {'task': 'T4', 'start': 4, 'end': 7, 'duration': 3, 'demands': [2, 3, 2]}, {'task': 'T5', 'start': 4, 'end': 10, 'duration': 6, 'demands': [5, 2, 2]}, {'task': 'T6', 'start': 13, 'end': 14, 'duration': 1, 'demands': [5, 2, 8]}, {'task': 'T7', 'start': 11, 'end': 13, 'duration': 2, 'demands': [5, 0, 2]}, {'task': 'T8', 'start': 7, 'end': 11, 'duration': 4, 'demands': [5, 5, 6]}, {'task': 'T9', 'start': 21, 'end': 26, 'duration': 5, 'demands': [3, 9, 4]}, {'task': 'T10', 'start': 13, 'end': 14, 'duration': 1, 'demands': [3, 7, 0]}, {'task': 'T11', 'start': 14, 'end': 15, 'duration': 1, 'demands': [2, 4, 1]}, {'task': 'T12', 'start': 26, 'end': 36, 'duration': 10, 'demands': [10, 2, 3]}, {'task': 'T13', 'start': 19, 'end': 21, 'duration': 2, 'demands': [9, 9, 2]}, {'task': 'T14', 'start': 21, 'end': 26, 'duration': 5, 'demands': [7, 2, 4]}, {'task': 'T15', 'start': 14, 'end': 19, 'duration': 5, 'demands': [0, 6, 8]}, {'task': 'T16', 'start': 6, 'end': 7, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T17', 'start': 13, 'end': 14, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T18', 'start': 26, 'end': 32, 'duration': 6, 'demands': [1, 4, 0]}, {'task': 'T19', 'start': 10, 'end': 13, 'duration': 3, 'demands': [6, 3, 3]}, {'task': 'T20', 'start': 19, 'end': 20, 'duration': 1, 'demands': [2, 1, 2]}, {'task': 'T21', 'start': 26, 'end': 27, 'duration': 1, 'demands': [0, 0, 0]}]",44,nl,1
RCPSP,RCPSP,"Recently a shop had to plan five steps — primer, main coat, drying, touch-up, sealing — where each step has a fixed length and requires certain painters and rack spots while it’s running. The planner’s job is to set start times so the natural order is kept (some steps can’t begin until others end) and at no time are there more painters or racks in use than the shop has. The best way is the one that gets the entire job fully wrapped up earliest — compare schedules by the time the final sealing finishes. No task can be skipped or repeated; the exact durations and resource availability are given below.
# total_steps=20
# resource_types=3
# resources=A, B, C
resource_id,capacity
A,9
B,11
C,12
step_id,step_duration,step_demands,successor_steps
T1,1,""0, 0, 0"",""T3, T4""
T2,3,""4, 8, 4"",""T6, T7, T8""
T3,4,""9, 2, 3"",""T5, T6""
T4,3,""6, 3, 3"",""T5, T6""
T5,5,""3, 2, 6"",""T9, T11""
T6,10,""5, 8, 5"",""T9, T11""
T7,5,""6, 6, 4"",""T9, T10""
T8,10,""3, 5, 6"",""T9, T10""
T9,2,""5, 3, 3"",""T12""
T10,3,""2, 2, 4"",""T14""
T11,6,""3, 2, 3"",""T12, T13""
T12,6,""2, 7, 7"",""T16""
T13,7,""5, 9, 7"",""T15""
T14,6,""1, 9, 5"",""T16""
T15,2,""3, 5, 8"",""T18, T19""
T16,1,""3, 3, 3"",""T18""
T17,1,""9, 5, 2"",""T18""
T18,4,""4, 6, 12"",""T20""
T19,6,""2, 11, 1"",""T20""
T20,1,""0, 0, 0"",""none""
When you send the final schedule back, just use a simple JSON shape like this — easy to read and copy-paste.
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
Here ""solution"" is a list of the scheduled steps. Each item says which task (that task id goes in task), and the numeric start and end times for that task. Think of it like filling out a little form for each step: which step, when it starts, when it finishes. This block is just a sketch of the shape I need, not the actual schedule.
Please make sure to use the exact identifiers from the instance input — no renaming and no new labels. Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'nr_tasks': 20, 'nr_resources': 3, 'capacities': [9, 11, 12], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [2, 3]}, {'duration': 3, 'demands': [4, 8, 4], 'successors': [5, 6, 7]}, {'duration': 4, 'demands': [9, 2, 3], 'successors': [4, 5]}, {'duration': 3, 'demands': [6, 3, 3], 'successors': [4, 5]}, {'duration': 5, 'demands': [3, 2, 6], 'successors': [8, 10]}, {'duration': 10, 'demands': [5, 8, 5], 'successors': [8, 10]}, {'duration': 5, 'demands': [6, 6, 4], 'successors': [8, 9]}, {'duration': 10, 'demands': [3, 5, 6], 'successors': [8, 9]}, {'duration': 2, 'demands': [5, 3, 3], 'successors': [11]}, {'duration': 3, 'demands': [2, 2, 4], 'successors': [13]}, {'duration': 6, 'demands': [3, 2, 3], 'successors': [11, 12]}, {'duration': 6, 'demands': [2, 7, 7], 'successors': [15]}, {'duration': 7, 'demands': [5, 9, 7], 'successors': [14]}, {'duration': 6, 'demands': [1, 9, 5], 'successors': [15]}, {'duration': 2, 'demands': [3, 5, 8], 'successors': [17, 18]}, {'duration': 1, 'demands': [3, 3, 3], 'successors': [17]}, {'duration': 1, 'demands': [9, 5, 2], 'successors': [17]}, {'duration': 4, 'demands': [4, 6, 12], 'successors': [19]}, {'duration': 6, 'demands': [2, 11, 1], 'successors': [19]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 0, 'end': 3, 'duration': 3, 'demands': [4, 8, 4]}, {'task': 2, 'start': 3, 'end': 7, 'duration': 4, 'demands': [9, 2, 3]}, {'task': 3, 'start': 7, 'end': 10, 'duration': 3, 'demands': [6, 3, 3]}, {'task': 4, 'start': 15, 'end': 20, 'duration': 5, 'demands': [3, 2, 6]}, {'task': 5, 'start': 17, 'end': 27, 'duration': 10, 'demands': [5, 8, 5]}, {'task': 6, 'start': 10, 'end': 15, 'duration': 5, 'demands': [6, 6, 4]}, {'task': 7, 'start': 7, 'end': 17, 'duration': 10, 'demands': [3, 5, 6]}, {'task': 8, 'start': 40, 'end': 42, 'duration': 2, 'demands': [5, 3, 3]}, {'task': 9, 'start': 20, 'end': 23, 'duration': 3, 'demands': [2, 2, 4]}, {'task': 10, 'start': 27, 'end': 33, 'duration': 6, 'demands': [3, 2, 3]}, {'task': 11, 'start': 42, 'end': 48, 'duration': 6, 'demands': [2, 7, 7]}, {'task': 12, 'start': 33, 'end': 40, 'duration': 7, 'demands': [5, 9, 7]}, {'task': 13, 'start': 27, 'end': 33, 'duration': 6, 'demands': [1, 9, 5]}, {'task': 14, 'start': 40, 'end': 42, 'duration': 2, 'demands': [3, 5, 8]}, {'task': 15, 'start': 54, 'end': 55, 'duration': 1, 'demands': [3, 3, 3]}, {'task': 16, 'start': 55, 'end': 56, 'duration': 1, 'demands': [9, 5, 2]}, {'task': 17, 'start': 56, 'end': 60, 'duration': 4, 'demands': [4, 6, 12]}, {'task': 18, 'start': 48, 'end': 54, 'duration': 6, 'demands': [2, 11, 1]}, {'task': 19, 'start': 60, 'end': 61, 'duration': 1, 'demands': [0, 0, 0]}]",61.0,"{'problem_type': 'RCPSP', 'nr_tasks': 20, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18', 'T19', 'T20'], 'resources': ['A', 'B', 'C'], 'resource_capacities': [{'resource_id': 'A', 'capacity': 9}, {'resource_id': 'B', 'capacity': 11}, {'resource_id': 'C', 'capacity': 12}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T3', 'T4']}, {'task_id': 'T2', 'duration': 3, 'demands': [4, 8, 4], 'successors': ['T6', 'T7', 'T8']}, {'task_id': 'T3', 'duration': 4, 'demands': [9, 2, 3], 'successors': ['T5', 'T6']}, {'task_id': 'T4', 'duration': 3, 'demands': [6, 3, 3], 'successors': ['T5', 'T6']}, {'task_id': 'T5', 'duration': 5, 'demands': [3, 2, 6], 'successors': ['T9', 'T11']}, {'task_id': 'T6', 'duration': 10, 'demands': [5, 8, 5], 'successors': ['T9', 'T11']}, {'task_id': 'T7', 'duration': 5, 'demands': [6, 6, 4], 'successors': ['T9', 'T10']}, {'task_id': 'T8', 'duration': 10, 'demands': [3, 5, 6], 'successors': ['T9', 'T10']}, {'task_id': 'T9', 'duration': 2, 'demands': [5, 3, 3], 'successors': ['T12']}, {'task_id': 'T10', 'duration': 3, 'demands': [2, 2, 4], 'successors': ['T14']}, {'task_id': 'T11', 'duration': 6, 'demands': [3, 2, 3], 'successors': ['T12', 'T13']}, {'task_id': 'T12', 'duration': 6, 'demands': [2, 7, 7], 'successors': ['T16']}, {'task_id': 'T13', 'duration': 7, 'demands': [5, 9, 7], 'successors': ['T15']}, {'task_id': 'T14', 'duration': 6, 'demands': [1, 9, 5], 'successors': ['T16']}, {'task_id': 'T15', 'duration': 2, 'demands': [3, 5, 8], 'successors': ['T18', 'T19']}, {'task_id': 'T16', 'duration': 1, 'demands': [3, 3, 3], 'successors': ['T18']}, {'task_id': 'T17', 'duration': 1, 'demands': [9, 5, 2], 'successors': ['T18']}, {'task_id': 'T18', 'duration': 4, 'demands': [4, 6, 12], 'successors': ['T20']}, {'task_id': 'T19', 'duration': 6, 'demands': [2, 11, 1], 'successors': ['T20']}, {'task_id': 'T20', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 0, 'end': 3, 'duration': 3, 'demands': [4, 8, 4]}, {'task': 'T3', 'start': 3, 'end': 7, 'duration': 4, 'demands': [9, 2, 3]}, {'task': 'T4', 'start': 7, 'end': 10, 'duration': 3, 'demands': [6, 3, 3]}, {'task': 'T5', 'start': 15, 'end': 20, 'duration': 5, 'demands': [3, 2, 6]}, {'task': 'T6', 'start': 17, 'end': 27, 'duration': 10, 'demands': [5, 8, 5]}, {'task': 'T7', 'start': 10, 'end': 15, 'duration': 5, 'demands': [6, 6, 4]}, {'task': 'T8', 'start': 7, 'end': 17, 'duration': 10, 'demands': [3, 5, 6]}, {'task': 'T9', 'start': 40, 'end': 42, 'duration': 2, 'demands': [5, 3, 3]}, {'task': 'T10', 'start': 20, 'end': 23, 'duration': 3, 'demands': [2, 2, 4]}, {'task': 'T11', 'start': 27, 'end': 33, 'duration': 6, 'demands': [3, 2, 3]}, {'task': 'T12', 'start': 42, 'end': 48, 'duration': 6, 'demands': [2, 7, 7]}, {'task': 'T13', 'start': 33, 'end': 40, 'duration': 7, 'demands': [5, 9, 7]}, {'task': 'T14', 'start': 27, 'end': 33, 'duration': 6, 'demands': [1, 9, 5]}, {'task': 'T15', 'start': 40, 'end': 42, 'duration': 2, 'demands': [3, 5, 8]}, {'task': 'T16', 'start': 54, 'end': 55, 'duration': 1, 'demands': [3, 3, 3]}, {'task': 'T17', 'start': 55, 'end': 56, 'duration': 1, 'demands': [9, 5, 2]}, {'task': 'T18', 'start': 56, 'end': 60, 'duration': 4, 'demands': [4, 6, 12]}, {'task': 'T19', 'start': 48, 'end': 54, 'duration': 6, 'demands': [2, 11, 1]}, {'task': 'T20', 'start': 60, 'end': 61, 'duration': 1, 'demands': [0, 0, 0]}]",45,csv,names
RCPSP,RCPSP,"Recently the lab filled up with overlapping student experiments, and the instructor needs to slot start times for each activity. Every step takes a fixed amount of time, requires some of our limited benches or instruments while it runs, and a few steps are chained behind others. The plan has to make sure every activity happens once, no bench is double-booked, and dependent steps wait their turn, so that all projects finish as soon as possible. To compare plans, simply check the finishing time of the last scheduled activity — a smaller finishing time means a tighter, better schedule. The concrete schedule inputs (tasks, durations, resources, dependencies) are shown below.
Here are those inputs: 17 activities, 3 resource types, capacities .
| resource_id | capacity |
|---|---|
| 1 | 12 |
| 2 | 14 |
| 3 | 11 |
| activity_id | activity_duration | resource_demands | successor_activities |
|---|---|---|---|
| T1 | 7 | 10, 6, 4 | T3, T6, T11 |
| T2 | 6 | 5, 2, 2 | T3, T4, T10 |
| T3 | 1 | 7, 1, 3 | T7, T10 |
| T4 | 4 | 6, 4, 3 | T7, T8 |
| T5 | 2 | 3, 10, 3 | T7, T8 |
| T6 | 2 | 3, 7, 6 | T9, T10 |
| T7 | 4 | 4, 1, 1 | T11, T12 |
| T8 | 3 | 2, 4, 6 | T11, T13 |
| T9 | 3 | 5, 2, 3 | T12 |
| T10 | 4 | 4, 1, 5 | T11 |
| T11 | 3 | 2, 6, 5 | T15 |
| T12 | 3 | 3, 1, 2 | T14, T11, T15 |
| T13 | 1 | 1, 6, 3 | T14, T12 |
| T14 | 2 | 4, 3, 8 | T16, T17 |
| T15 | 13 | 4, 7, 5 | T16 |
| T16 | 1 | 2, 11, 3 | none |
| T17 | 4 | 0, 1, 3 | none |
We must schedule all 17 activities without exceeding capacities so the final finishing time is as small as possible.
Oh, and when you send the schedule back, please use this simple JSON shape so it's easy to parse and compare:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
This just shows a list of scheduled activities: each entry assigns a task its start time and end time. Think of ""task"" as the exact activity label from the plan, and ""start""/""end"" as the times (in the same units used in the instance) when that activity begins and finishes. The block above is just a sketch of the expected shape — don't treat it as the actual schedule.
Please make sure you use the exact task identifiers given in the instance input — do not rename them or invent new labels. Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'nr_tasks': 17, 'nr_resources': 3, 'capacities': [12, 14, 11], 'tasks': [{'duration': 7, 'demands': [10, 6, 4], 'successors': [2, 5, 10]}, {'duration': 6, 'demands': [5, 2, 2], 'successors': [2, 3, 9]}, {'duration': 1, 'demands': [7, 1, 3], 'successors': [6, 9]}, {'duration': 4, 'demands': [6, 4, 3], 'successors': [6, 7]}, {'duration': 2, 'demands': [3, 10, 3], 'successors': [6, 7]}, {'duration': 2, 'demands': [3, 7, 6], 'successors': [8, 9]}, {'duration': 4, 'demands': [4, 1, 1], 'successors': [10, 11]}, {'duration': 3, 'demands': [2, 4, 6], 'successors': [10, 12]}, {'duration': 3, 'demands': [5, 2, 3], 'successors': [11]}, {'duration': 4, 'demands': [4, 1, 5], 'successors': [10]}, {'duration': 3, 'demands': [2, 6, 5], 'successors': [14]}, {'duration': 3, 'demands': [3, 1, 2], 'successors': [13, 10, 14]}, {'duration': 1, 'demands': [1, 6, 3], 'successors': [13, 11]}, {'duration': 2, 'demands': [4, 3, 8], 'successors': [15, 16]}, {'duration': 13, 'demands': [4, 7, 5], 'successors': [15]}, {'duration': 1, 'demands': [2, 11, 3], 'successors': []}, {'duration': 4, 'demands': [0, 1, 3], 'successors': []}]}","[{'task': 0, 'start': 6, 'end': 13, 'duration': 7, 'demands': [10, 6, 4]}, {'task': 1, 'start': 0, 'end': 6, 'duration': 6, 'demands': [5, 2, 2]}, {'task': 2, 'start': 17, 'end': 18, 'duration': 1, 'demands': [7, 1, 3]}, {'task': 3, 'start': 13, 'end': 17, 'duration': 4, 'demands': [6, 4, 3]}, {'task': 4, 'start': 0, 'end': 2, 'duration': 2, 'demands': [3, 10, 3]}, {'task': 5, 'start': 13, 'end': 15, 'duration': 2, 'demands': [3, 7, 6]}, {'task': 6, 'start': 18, 'end': 22, 'duration': 4, 'demands': [4, 1, 1]}, {'task': 7, 'start': 18, 'end': 21, 'duration': 3, 'demands': [2, 4, 6]}, {'task': 8, 'start': 15, 'end': 18, 'duration': 3, 'demands': [5, 2, 3]}, {'task': 9, 'start': 21, 'end': 25, 'duration': 4, 'demands': [4, 1, 5]}, {'task': 10, 'start': 25, 'end': 28, 'duration': 3, 'demands': [2, 6, 5]}, {'task': 11, 'start': 22, 'end': 25, 'duration': 3, 'demands': [3, 1, 2]}, {'task': 12, 'start': 21, 'end': 22, 'duration': 1, 'demands': [1, 6, 3]}, {'task': 13, 'start': 28, 'end': 30, 'duration': 2, 'demands': [4, 3, 8]}, {'task': 14, 'start': 30, 'end': 43, 'duration': 13, 'demands': [4, 7, 5]}, {'task': 15, 'start': 43, 'end': 44, 'duration': 1, 'demands': [2, 11, 3]}, {'task': 16, 'start': 30, 'end': 34, 'duration': 4, 'demands': [0, 1, 3]}]",44.0,"{'problem_type': 'RCPSP', 'nr_tasks': 17, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17'], 'resources': [1, 2, 3], 'resource_capacities': [{'resource_id': 1, 'capacity': 12}, {'resource_id': 2, 'capacity': 14}, {'resource_id': 3, 'capacity': 11}], 'task_records': [{'task_id': 'T1', 'duration': 7, 'demands': [10, 6, 4], 'successors': ['T3', 'T6', 'T11']}, {'task_id': 'T2', 'duration': 6, 'demands': [5, 2, 2], 'successors': ['T3', 'T4', 'T10']}, {'task_id': 'T3', 'duration': 1, 'demands': [7, 1, 3], 'successors': ['T7', 'T10']}, {'task_id': 'T4', 'duration': 4, 'demands': [6, 4, 3], 'successors': ['T7', 'T8']}, {'task_id': 'T5', 'duration': 2, 'demands': [3, 10, 3], 'successors': ['T7', 'T8']}, {'task_id': 'T6', 'duration': 2, 'demands': [3, 7, 6], 'successors': ['T9', 'T10']}, {'task_id': 'T7', 'duration': 4, 'demands': [4, 1, 1], 'successors': ['T11', 'T12']}, {'task_id': 'T8', 'duration': 3, 'demands': [2, 4, 6], 'successors': ['T11', 'T13']}, {'task_id': 'T9', 'duration': 3, 'demands': [5, 2, 3], 'successors': ['T12']}, {'task_id': 'T10', 'duration': 4, 'demands': [4, 1, 5], 'successors': ['T11']}, {'task_id': 'T11', 'duration': 3, 'demands': [2, 6, 5], 'successors': ['T15']}, {'task_id': 'T12', 'duration': 3, 'demands': [3, 1, 2], 'successors': ['T14', 'T11', 'T15']}, {'task_id': 'T13', 'duration': 1, 'demands': [1, 6, 3], 'successors': ['T14', 'T12']}, {'task_id': 'T14', 'duration': 2, 'demands': [4, 3, 8], 'successors': ['T16', 'T17']}, {'task_id': 'T15', 'duration': 13, 'demands': [4, 7, 5], 'successors': ['T16']}, {'task_id': 'T16', 'duration': 1, 'demands': [2, 11, 3], 'successors': []}, {'task_id': 'T17', 'duration': 4, 'demands': [0, 1, 3], 'successors': []}]}","[{'task': 'T1', 'start': 6, 'end': 13, 'duration': 7, 'demands': [10, 6, 4]}, {'task': 'T2', 'start': 0, 'end': 6, 'duration': 6, 'demands': [5, 2, 2]}, {'task': 'T3', 'start': 17, 'end': 18, 'duration': 1, 'demands': [7, 1, 3]}, {'task': 'T4', 'start': 13, 'end': 17, 'duration': 4, 'demands': [6, 4, 3]}, {'task': 'T5', 'start': 0, 'end': 2, 'duration': 2, 'demands': [3, 10, 3]}, {'task': 'T6', 'start': 13, 'end': 15, 'duration': 2, 'demands': [3, 7, 6]}, {'task': 'T7', 'start': 18, 'end': 22, 'duration': 4, 'demands': [4, 1, 1]}, {'task': 'T8', 'start': 18, 'end': 21, 'duration': 3, 'demands': [2, 4, 6]}, {'task': 'T9', 'start': 15, 'end': 18, 'duration': 3, 'demands': [5, 2, 3]}, {'task': 'T10', 'start': 21, 'end': 25, 'duration': 4, 'demands': [4, 1, 5]}, {'task': 'T11', 'start': 25, 'end': 28, 'duration': 3, 'demands': [2, 6, 5]}, {'task': 'T12', 'start': 22, 'end': 25, 'duration': 3, 'demands': [3, 1, 2]}, {'task': 'T13', 'start': 21, 'end': 22, 'duration': 1, 'demands': [1, 6, 3]}, {'task': 'T14', 'start': 28, 'end': 30, 'duration': 2, 'demands': [4, 3, 8]}, {'task': 'T15', 'start': 30, 'end': 43, 'duration': 13, 'demands': [4, 7, 5]}, {'task': 'T16', 'start': 43, 'end': 44, 'duration': 1, 'demands': [2, 11, 3]}, {'task': 'T17', 'start': 30, 'end': 34, 'duration': 4, 'demands': [0, 1, 3]}]",46,markdown_table,1
RCPSP,RCPSP,"Someone needs to line up the whole test campaign by setting start times for each run. Each run has a fixed duration and consumes one or more of the lab’s limited chambers or rigs while it’s running, and some runs are dependent on earlier ones finishing first. The aim is simple: get the last test done as early as possible — the campaign’s length is the time when that final run ends, and shorter is better. All tests must be scheduled exactly once and the equipment must never be oversubscribed. The specific runs, durations, dependencies and resource limits are shown below.
# total_test_runs=21
# num_equipment_types=3
# resources=1, 2, 3
resource_id,capacity
1,11
2,14
3,12
test_run_id,run_duration_in_time_units,resource_requirements_vector,successor_run_ids
T1,1,""0, 0, 0"",""T2, T3, T4""
T2,2,""5, 5, 2"",""T8""
T3,2,""5, 5, 2"",""T8""
T4,6,""4, 3, 4"",""T6, T7""
T5,2,""4, 2, 2"",""T9, T10""
T6,2,""6, 5, 4"",""T9, T10""
T7,4,""2, 10, 3"",""T9, T10""
T8,11,""1, 2, 6"",""T11""
T9,4,""2, 3, 2"",""T15""
T10,5,""4, 4, 6"",""T12""
T11,1,""4, 4, 3"",""T13, T14""
T12,6,""1, 7, 6"",""T16""
T13,5,""3, 2, 1"",""T17""
T14,8,""7, 5, 5"",""T16""
T15,7,""2, 5, 5"",""T16""
T16,3,""5, 8, 8"",""none""
T17,2,""5, 2, 4"",""T19""
T18,6,""8, 6, 6"",""T20""
T19,13,""2, 2, 11"",""T21""
T20,1,""2, 11, 3"",""T21""
T21,1,""0, 0, 0"",""none""
Quick note on how I’d like the schedule returned: please use this simple JSON layout for the reply so it’s easy to read and check.
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
Think of that JSON like a little form: ""solution"" is the list of all the scheduled runs; each entry names the run (""task""), when it begins (""start"") and when it finishes (""end""). Keep it light — this block is just the shape I expect, not the actual schedule.
Please use the exact identifiers from the instance input — don’t rename anything and don’t introduce new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'nr_tasks': 21, 'nr_resources': 3, 'capacities': [11, 14, 12], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2, 3]}, {'duration': 2, 'demands': [5, 5, 2], 'successors': [7]}, {'duration': 2, 'demands': [5, 5, 2], 'successors': [7]}, {'duration': 6, 'demands': [4, 3, 4], 'successors': [5, 6]}, {'duration': 2, 'demands': [4, 2, 2], 'successors': [8, 9]}, {'duration': 2, 'demands': [6, 5, 4], 'successors': [8, 9]}, {'duration': 4, 'demands': [2, 10, 3], 'successors': [8, 9]}, {'duration': 11, 'demands': [1, 2, 6], 'successors': [10]}, {'duration': 4, 'demands': [2, 3, 2], 'successors': [14]}, {'duration': 5, 'demands': [4, 4, 6], 'successors': [11]}, {'duration': 1, 'demands': [4, 4, 3], 'successors': [12, 13]}, {'duration': 6, 'demands': [1, 7, 6], 'successors': [15]}, {'duration': 5, 'demands': [3, 2, 1], 'successors': [16]}, {'duration': 8, 'demands': [7, 5, 5], 'successors': [15]}, {'duration': 7, 'demands': [2, 5, 5], 'successors': [15]}, {'duration': 3, 'demands': [5, 8, 8], 'successors': []}, {'duration': 2, 'demands': [5, 2, 4], 'successors': [18]}, {'duration': 6, 'demands': [8, 6, 6], 'successors': [19]}, {'duration': 13, 'demands': [2, 2, 11], 'successors': [20]}, {'duration': 1, 'demands': [2, 11, 3], 'successors': [20]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 3, 'end': 5, 'duration': 2, 'demands': [5, 5, 2]}, {'task': 2, 'start': 1, 'end': 3, 'duration': 2, 'demands': [5, 5, 2]}, {'task': 3, 'start': 1, 'end': 7, 'duration': 6, 'demands': [4, 3, 4]}, {'task': 4, 'start': 5, 'end': 7, 'duration': 2, 'demands': [4, 2, 2]}, {'task': 5, 'start': 11, 'end': 13, 'duration': 2, 'demands': [6, 5, 4]}, {'task': 6, 'start': 7, 'end': 11, 'duration': 4, 'demands': [2, 10, 3]}, {'task': 7, 'start': 5, 'end': 16, 'duration': 11, 'demands': [1, 2, 6]}, {'task': 8, 'start': 16, 'end': 20, 'duration': 4, 'demands': [2, 3, 2]}, {'task': 9, 'start': 13, 'end': 18, 'duration': 5, 'demands': [4, 4, 6]}, {'task': 10, 'start': 16, 'end': 17, 'duration': 1, 'demands': [4, 4, 3]}, {'task': 11, 'start': 20, 'end': 26, 'duration': 6, 'demands': [1, 7, 6]}, {'task': 12, 'start': 20, 'end': 25, 'duration': 5, 'demands': [3, 2, 1]}, {'task': 13, 'start': 18, 'end': 26, 'duration': 8, 'demands': [7, 5, 5]}, {'task': 14, 'start': 26, 'end': 33, 'duration': 7, 'demands': [2, 5, 5]}, {'task': 15, 'start': 47, 'end': 50, 'duration': 3, 'demands': [5, 8, 8]}, {'task': 16, 'start': 32, 'end': 34, 'duration': 2, 'demands': [5, 2, 4]}, {'task': 17, 'start': 26, 'end': 32, 'duration': 6, 'demands': [8, 6, 6]}, {'task': 18, 'start': 34, 'end': 47, 'duration': 13, 'demands': [2, 2, 11]}, {'task': 19, 'start': 33, 'end': 34, 'duration': 1, 'demands': [2, 11, 3]}, {'task': 20, 'start': 47, 'end': 48, 'duration': 1, 'demands': [0, 0, 0]}]",50.0,"{'problem_type': 'RCPSP', 'nr_tasks': 21, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18', 'T19', 'T20', 'T21'], 'resources': [1, 2, 3], 'resource_capacities': [{'resource_id': 1, 'capacity': 11}, {'resource_id': 2, 'capacity': 14}, {'resource_id': 3, 'capacity': 12}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3', 'T4']}, {'task_id': 'T2', 'duration': 2, 'demands': [5, 5, 2], 'successors': ['T8']}, {'task_id': 'T3', 'duration': 2, 'demands': [5, 5, 2], 'successors': ['T8']}, {'task_id': 'T4', 'duration': 6, 'demands': [4, 3, 4], 'successors': ['T6', 'T7']}, {'task_id': 'T5', 'duration': 2, 'demands': [4, 2, 2], 'successors': ['T9', 'T10']}, {'task_id': 'T6', 'duration': 2, 'demands': [6, 5, 4], 'successors': ['T9', 'T10']}, {'task_id': 'T7', 'duration': 4, 'demands': [2, 10, 3], 'successors': ['T9', 'T10']}, {'task_id': 'T8', 'duration': 11, 'demands': [1, 2, 6], 'successors': ['T11']}, {'task_id': 'T9', 'duration': 4, 'demands': [2, 3, 2], 'successors': ['T15']}, {'task_id': 'T10', 'duration': 5, 'demands': [4, 4, 6], 'successors': ['T12']}, {'task_id': 'T11', 'duration': 1, 'demands': [4, 4, 3], 'successors': ['T13', 'T14']}, {'task_id': 'T12', 'duration': 6, 'demands': [1, 7, 6], 'successors': ['T16']}, {'task_id': 'T13', 'duration': 5, 'demands': [3, 2, 1], 'successors': ['T17']}, {'task_id': 'T14', 'duration': 8, 'demands': [7, 5, 5], 'successors': ['T16']}, {'task_id': 'T15', 'duration': 7, 'demands': [2, 5, 5], 'successors': ['T16']}, {'task_id': 'T16', 'duration': 3, 'demands': [5, 8, 8], 'successors': []}, {'task_id': 'T17', 'duration': 2, 'demands': [5, 2, 4], 'successors': ['T19']}, {'task_id': 'T18', 'duration': 6, 'demands': [8, 6, 6], 'successors': ['T20']}, {'task_id': 'T19', 'duration': 13, 'demands': [2, 2, 11], 'successors': ['T21']}, {'task_id': 'T20', 'duration': 1, 'demands': [2, 11, 3], 'successors': ['T21']}, {'task_id': 'T21', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 3, 'end': 5, 'duration': 2, 'demands': [5, 5, 2]}, {'task': 'T3', 'start': 1, 'end': 3, 'duration': 2, 'demands': [5, 5, 2]}, {'task': 'T4', 'start': 1, 'end': 7, 'duration': 6, 'demands': [4, 3, 4]}, {'task': 'T5', 'start': 5, 'end': 7, 'duration': 2, 'demands': [4, 2, 2]}, {'task': 'T6', 'start': 11, 'end': 13, 'duration': 2, 'demands': [6, 5, 4]}, {'task': 'T7', 'start': 7, 'end': 11, 'duration': 4, 'demands': [2, 10, 3]}, {'task': 'T8', 'start': 5, 'end': 16, 'duration': 11, 'demands': [1, 2, 6]}, {'task': 'T9', 'start': 16, 'end': 20, 'duration': 4, 'demands': [2, 3, 2]}, {'task': 'T10', 'start': 13, 'end': 18, 'duration': 5, 'demands': [4, 4, 6]}, {'task': 'T11', 'start': 16, 'end': 17, 'duration': 1, 'demands': [4, 4, 3]}, {'task': 'T12', 'start': 20, 'end': 26, 'duration': 6, 'demands': [1, 7, 6]}, {'task': 'T13', 'start': 20, 'end': 25, 'duration': 5, 'demands': [3, 2, 1]}, {'task': 'T14', 'start': 18, 'end': 26, 'duration': 8, 'demands': [7, 5, 5]}, {'task': 'T15', 'start': 26, 'end': 33, 'duration': 7, 'demands': [2, 5, 5]}, {'task': 'T16', 'start': 47, 'end': 50, 'duration': 3, 'demands': [5, 8, 8]}, {'task': 'T17', 'start': 32, 'end': 34, 'duration': 2, 'demands': [5, 2, 4]}, {'task': 'T18', 'start': 26, 'end': 32, 'duration': 6, 'demands': [8, 6, 6]}, {'task': 'T19', 'start': 34, 'end': 47, 'duration': 13, 'demands': [2, 2, 11]}, {'task': 'T20', 'start': 33, 'end': 34, 'duration': 1, 'demands': [2, 11, 3]}, {'task': 'T21', 'start': 47, 'end': 48, 'duration': 1, 'demands': [0, 0, 0]}]",47,csv,1
RCPSP,RCPSP,"There’s a planner at the plant who needs to line up every workstation’s start time: each job has a set duration, uses certain stations or tools while in progress, and can’t start until earlier steps are done. The planner must place every job once on the timeline so no tool is used by too many jobs at the same time and the handoffs happen in the right order. A good plan is the one where the final job finishes as early as possible — simply check the finishing time of the last task to compare plans. The specific jobs, their durations, dependencies, and resource limits are listed below.
The planner must place 17 workstation tasks across 3 resource types with capacities .
Workstation task T1 runs for 1 time units, consumes 0, 0, 0 while running, and must finish before its successors T2, T3, T4 can start.
Workstation task T2 runs for 2 time units, consumes 5, 7, 4 while running, and must finish before its successors T6, T7, T8 can start.
Workstation task T3 runs for 1 time units, consumes 6, 4, 4 while running, and must finish before its successors T5, T6, T10, T12 can start.
Workstation task T4 runs for 1 time units, consumes 10, 3, 4 while running, and must finish before its successors T5, T6 can start.
Workstation task T5 runs for 4 time units, consumes 5, 1, 5 while running, and must finish before its successors T9, T10 can start.
Workstation task T6 runs for 6 time units, consumes 3, 3, 3 while running, and must finish before its successors T9, T10 can start.
Workstation task T7 runs for 4 time units, consumes 5, 3, 3 while running, and must finish before its successors T9, T10 can start.
Workstation task T8 runs for 1 time units, consumes 1, 3, 3 while running, and must finish before its successors T9 can start.
Workstation task T9 runs for 8 time units, consumes 2, 3, 3 while running, and must finish before its successors none can start.
Workstation task T10 runs for 10 time units, consumes 6, 1, 4 while running, and must finish before its successors T11 can start.
Workstation task T11 runs for 4 time units, consumes 1, 5, 8 while running, and must finish before its successors T13, T14 can start.
Workstation task T12 runs for 2 time units, consumes 5, 9, 7 while running, and must finish before its successors T15 can start.
Workstation task T13 runs for 3 time units, consumes 3, 3, 5 while running, and must finish before its successors T15 can start.
Workstation task T14 runs for 2 time units, consumes 4, 3, 3 while running, and must finish before its successors T15, T16 can start.
Workstation task T15 runs for 3 time units, consumes 1, 5, 9 while running, and must finish before its successors T17 can start.
Workstation task T16 runs for 4 time units, consumes 1, 7, 3 while running, and must finish before its successors T17 can start.
Workstation task T17 runs for 1 time units, consumes 0, 0, 0 while running, and must finish before its successors none can start.
The planner compares plans by the finishing time of the last task.
Also, when you send the schedule back, please use this simple JSON layout so it's easy to parse and double-check.
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
This just shows the shape I need: a ""solution"" is a list of task entries, and each entry is a little timetable row — which task it is, when it starts, and when it finishes. Think of it like filling out a simple form: task, start time, end time. It's only a sketch of the expected shape, not the actual schedule itself.
Please make sure every identifier you use matches exactly what's in the instance input — no renaming, no new labels. Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'nr_tasks': 17, 'nr_resources': 3, 'capacities': [14, 11, 12], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2, 3]}, {'duration': 2, 'demands': [5, 7, 4], 'successors': [5, 6, 7]}, {'duration': 1, 'demands': [6, 4, 4], 'successors': [4, 5, 9, 11]}, {'duration': 1, 'demands': [10, 3, 4], 'successors': [4, 5]}, {'duration': 4, 'demands': [5, 1, 5], 'successors': [8, 9]}, {'duration': 6, 'demands': [3, 3, 3], 'successors': [8, 9]}, {'duration': 4, 'demands': [5, 3, 3], 'successors': [8, 9]}, {'duration': 1, 'demands': [1, 3, 3], 'successors': [8]}, {'duration': 8, 'demands': [2, 3, 3], 'successors': []}, {'duration': 10, 'demands': [6, 1, 4], 'successors': [10]}, {'duration': 4, 'demands': [1, 5, 8], 'successors': [12, 13]}, {'duration': 2, 'demands': [5, 9, 7], 'successors': [14]}, {'duration': 3, 'demands': [3, 3, 5], 'successors': [14]}, {'duration': 2, 'demands': [4, 3, 3], 'successors': [14, 15]}, {'duration': 3, 'demands': [1, 5, 9], 'successors': [16]}, {'duration': 4, 'demands': [1, 7, 3], 'successors': [16]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 1, 'end': 3, 'duration': 2, 'demands': [5, 7, 4]}, {'task': 2, 'start': 1, 'end': 2, 'duration': 1, 'demands': [6, 4, 4]}, {'task': 3, 'start': 3, 'end': 4, 'duration': 1, 'demands': [10, 3, 4]}, {'task': 4, 'start': 4, 'end': 8, 'duration': 4, 'demands': [5, 1, 5]}, {'task': 5, 'start': 4, 'end': 10, 'duration': 6, 'demands': [3, 3, 3]}, {'task': 6, 'start': 4, 'end': 8, 'duration': 4, 'demands': [5, 3, 3]}, {'task': 7, 'start': 3, 'end': 4, 'duration': 1, 'demands': [1, 3, 3]}, {'task': 8, 'start': 10, 'end': 18, 'duration': 8, 'demands': [2, 3, 3]}, {'task': 9, 'start': 10, 'end': 20, 'duration': 10, 'demands': [6, 1, 4]}, {'task': 10, 'start': 20, 'end': 24, 'duration': 4, 'demands': [1, 5, 8]}, {'task': 11, 'start': 18, 'end': 20, 'duration': 2, 'demands': [5, 9, 7]}, {'task': 12, 'start': 24, 'end': 27, 'duration': 3, 'demands': [3, 3, 5]}, {'task': 13, 'start': 24, 'end': 26, 'duration': 2, 'demands': [4, 3, 3]}, {'task': 14, 'start': 30, 'end': 33, 'duration': 3, 'demands': [1, 5, 9]}, {'task': 15, 'start': 26, 'end': 30, 'duration': 4, 'demands': [1, 7, 3]}, {'task': 16, 'start': 33, 'end': 34, 'duration': 1, 'demands': [0, 0, 0]}]",34.0,"{'problem_type': 'RCPSP', 'nr_tasks': 17, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17'], 'resources': [1, 2, 3], 'resource_capacities': [{'resource_id': 1, 'capacity': 14}, {'resource_id': 2, 'capacity': 11}, {'resource_id': 3, 'capacity': 12}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3', 'T4']}, {'task_id': 'T2', 'duration': 2, 'demands': [5, 7, 4], 'successors': ['T6', 'T7', 'T8']}, {'task_id': 'T3', 'duration': 1, 'demands': [6, 4, 4], 'successors': ['T5', 'T6', 'T10', 'T12']}, {'task_id': 'T4', 'duration': 1, 'demands': [10, 3, 4], 'successors': ['T5', 'T6']}, {'task_id': 'T5', 'duration': 4, 'demands': [5, 1, 5], 'successors': ['T9', 'T10']}, {'task_id': 'T6', 'duration': 6, 'demands': [3, 3, 3], 'successors': ['T9', 'T10']}, {'task_id': 'T7', 'duration': 4, 'demands': [5, 3, 3], 'successors': ['T9', 'T10']}, {'task_id': 'T8', 'duration': 1, 'demands': [1, 3, 3], 'successors': ['T9']}, {'task_id': 'T9', 'duration': 8, 'demands': [2, 3, 3], 'successors': []}, {'task_id': 'T10', 'duration': 10, 'demands': [6, 1, 4], 'successors': ['T11']}, {'task_id': 'T11', 'duration': 4, 'demands': [1, 5, 8], 'successors': ['T13', 'T14']}, {'task_id': 'T12', 'duration': 2, 'demands': [5, 9, 7], 'successors': ['T15']}, {'task_id': 'T13', 'duration': 3, 'demands': [3, 3, 5], 'successors': ['T15']}, {'task_id': 'T14', 'duration': 2, 'demands': [4, 3, 3], 'successors': ['T15', 'T16']}, {'task_id': 'T15', 'duration': 3, 'demands': [1, 5, 9], 'successors': ['T17']}, {'task_id': 'T16', 'duration': 4, 'demands': [1, 7, 3], 'successors': ['T17']}, {'task_id': 'T17', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 1, 'end': 3, 'duration': 2, 'demands': [5, 7, 4]}, {'task': 'T3', 'start': 1, 'end': 2, 'duration': 1, 'demands': [6, 4, 4]}, {'task': 'T4', 'start': 3, 'end': 4, 'duration': 1, 'demands': [10, 3, 4]}, {'task': 'T5', 'start': 4, 'end': 8, 'duration': 4, 'demands': [5, 1, 5]}, {'task': 'T6', 'start': 4, 'end': 10, 'duration': 6, 'demands': [3, 3, 3]}, {'task': 'T7', 'start': 4, 'end': 8, 'duration': 4, 'demands': [5, 3, 3]}, {'task': 'T8', 'start': 3, 'end': 4, 'duration': 1, 'demands': [1, 3, 3]}, {'task': 'T9', 'start': 10, 'end': 18, 'duration': 8, 'demands': [2, 3, 3]}, {'task': 'T10', 'start': 10, 'end': 20, 'duration': 10, 'demands': [6, 1, 4]}, {'task': 'T11', 'start': 20, 'end': 24, 'duration': 4, 'demands': [1, 5, 8]}, {'task': 'T12', 'start': 18, 'end': 20, 'duration': 2, 'demands': [5, 9, 7]}, {'task': 'T13', 'start': 24, 'end': 27, 'duration': 3, 'demands': [3, 3, 5]}, {'task': 'T14', 'start': 24, 'end': 26, 'duration': 2, 'demands': [4, 3, 3]}, {'task': 'T15', 'start': 30, 'end': 33, 'duration': 3, 'demands': [1, 5, 9]}, {'task': 'T16', 'start': 26, 'end': 30, 'duration': 4, 'demands': [1, 7, 3]}, {'task': 'T17', 'start': 33, 'end': 34, 'duration': 1, 'demands': [0, 0, 0]}]",48,nl,1
RCPSP,RCPSP,"I’m helping plan a celebration where a handful of setup crews and catering teams all have to get their jobs done in the right order. The planners need to pick a start time for every setup and food task so that things that depend on others don’t start too early, each job runs for its given length and uses the staff and gear assigned to it, and no team or piece of equipment is asked to do more than it has capacity for. The better plan is the one that gets the whole venue ready the fastest — in practice that means looking at when the last job finishes and making that time as early as possible (or, if you prefer, shrinking the time span from the first start to that final finish). Every task has to appear exactly once, can’t be split or duplicated, and the exact list of jobs, durations, staff and equipment available are shown below.
There are 19 jobs to schedule, using 3 resource types with capacities .
Job T1 lasts 1, requires 0, 0, 0 while it runs, and lists T2, T3, T4 as jobs that may only start after it finishes.
Job T2 lasts 5, requires 5, 6, 2 while it runs, and lists T6, T8 as jobs that may only start after it finishes.
Job T3 lasts 1, requires 4, 7, 5 while it runs, and lists T5, T8 as jobs that may only start after it finishes.
Job T4 lasts 3, requires 8, 2, 1 while it runs, and lists T6, T7 as jobs that may only start after it finishes.
Job T5 lasts 5, requires 7, 2, 6 while it runs, and lists T9, T10 as jobs that may only start after it finishes.
Job T6 lasts 3, requires 5, 8, 7 while it runs, and lists T9, T10 as jobs that may only start after it finishes.
Job T7 lasts 5, requires 6, 7, 3 while it runs, and lists T9, T10 as jobs that may only start after it finishes.
Job T8 lasts 9, requires 2, 3, 6 while it runs, and lists T9 as jobs that may only start after it finishes.
Job T9 lasts 5, requires 4, 3, 4 while it runs, and lists T12 as jobs that may only start after it finishes.
Job T10 lasts 12, requires 4, 4, 7 while it runs, and lists T12 as jobs that may only start after it finishes.
Job T11 lasts 1, requires 4, 2, 3 while it runs, and lists T13 as jobs that may only start after it finishes.
Job T12 lasts 3, requires 1, 7, 7 while it runs, and lists T14 as jobs that may only start after it finishes.
Job T13 lasts 12, requires 4, 5, 7 while it runs, and lists T14, T16 as jobs that may only start after it finishes.
Job T14 lasts 4, requires 4, 6, 8 while it runs, and lists T17 as jobs that may only start after it finishes.
Job T15 lasts 1, requires 2, 1, 5 while it runs, and lists T17 as jobs that may only start after it finishes.
Job T16 lasts 4, requires 7, 2, 5 while it runs, and lists T18 as jobs that may only start after it finishes.
Job T17 lasts 9, requires 4, 5, 5 while it runs, and lists T19 as jobs that may only start after it finishes.
Job T18 lasts 1, requires 1, 9, 3 while it runs, and lists T19 as jobs that may only start after it finishes.
Job T19 lasts 1, requires 0, 0, 0 while it runs, and lists none as jobs that may only start after it finishes.
Each job must appear exactly once; we’ll use these lines to build the fastest feasible plan.
You can just send the schedule back in a tiny JSON shape like this — nothing fancy, just a list of tasks with their start and end times:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
Think of it like a little table: each object in the ""solution"" list is one job, ""task"" is the task identifier from the instance, and ""start"" and ""end"" are the times when that job begins and finishes. This is only a sketch of the expected shape — not the actual schedule — so don’t fill it in here unless you’re ready to submit the real timings.
Please use the exact task identifiers from the instance input — no renaming and no new labels.
- for example: ""Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.""","{'nr_tasks': 19, 'nr_resources': 3, 'capacities': [11, 10, 12], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2, 3]}, {'duration': 5, 'demands': [5, 6, 2], 'successors': [5, 7]}, {'duration': 1, 'demands': [4, 7, 5], 'successors': [4, 7]}, {'duration': 3, 'demands': [8, 2, 1], 'successors': [5, 6]}, {'duration': 5, 'demands': [7, 2, 6], 'successors': [8, 9]}, {'duration': 3, 'demands': [5, 8, 7], 'successors': [8, 9]}, {'duration': 5, 'demands': [6, 7, 3], 'successors': [8, 9]}, {'duration': 9, 'demands': [2, 3, 6], 'successors': [8]}, {'duration': 5, 'demands': [4, 3, 4], 'successors': [11]}, {'duration': 12, 'demands': [4, 4, 7], 'successors': [11]}, {'duration': 1, 'demands': [4, 2, 3], 'successors': [12]}, {'duration': 3, 'demands': [1, 7, 7], 'successors': [13]}, {'duration': 12, 'demands': [4, 5, 7], 'successors': [13, 15]}, {'duration': 4, 'demands': [4, 6, 8], 'successors': [16]}, {'duration': 1, 'demands': [2, 1, 5], 'successors': [16]}, {'duration': 4, 'demands': [7, 2, 5], 'successors': [17]}, {'duration': 9, 'demands': [4, 5, 5], 'successors': [18]}, {'duration': 1, 'demands': [1, 9, 3], 'successors': [18]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 1, 'end': 6, 'duration': 5, 'demands': [5, 6, 2]}, {'task': 2, 'start': 6, 'end': 7, 'duration': 1, 'demands': [4, 7, 5]}, {'task': 3, 'start': 7, 'end': 10, 'duration': 3, 'demands': [8, 2, 1]}, {'task': 4, 'start': 15, 'end': 20, 'duration': 5, 'demands': [7, 2, 6]}, {'task': 5, 'start': 20, 'end': 23, 'duration': 3, 'demands': [5, 8, 7]}, {'task': 6, 'start': 10, 'end': 15, 'duration': 5, 'demands': [6, 7, 3]}, {'task': 7, 'start': 7, 'end': 16, 'duration': 9, 'demands': [2, 3, 6]}, {'task': 8, 'start': 23, 'end': 28, 'duration': 5, 'demands': [4, 3, 4]}, {'task': 9, 'start': 23, 'end': 35, 'duration': 12, 'demands': [4, 4, 7]}, {'task': 10, 'start': 0, 'end': 1, 'duration': 1, 'demands': [4, 2, 3]}, {'task': 11, 'start': 35, 'end': 38, 'duration': 3, 'demands': [1, 7, 7]}, {'task': 12, 'start': 38, 'end': 50, 'duration': 12, 'demands': [4, 5, 7]}, {'task': 13, 'start': 50, 'end': 54, 'duration': 4, 'demands': [4, 6, 8]}, {'task': 14, 'start': 0, 'end': 1, 'duration': 1, 'demands': [2, 1, 5]}, {'task': 15, 'start': 54, 'end': 58, 'duration': 4, 'demands': [7, 2, 5]}, {'task': 16, 'start': 54, 'end': 63, 'duration': 9, 'demands': [4, 5, 5]}, {'task': 17, 'start': 63, 'end': 64, 'duration': 1, 'demands': [1, 9, 3]}, {'task': 18, 'start': 64, 'end': 65, 'duration': 1, 'demands': [0, 0, 0]}]",65.0,"{'problem_type': 'RCPSP', 'nr_tasks': 19, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18', 'T19'], 'resources': [1, 2, 3], 'resource_capacities': [{'resource_id': 1, 'capacity': 11}, {'resource_id': 2, 'capacity': 10}, {'resource_id': 3, 'capacity': 12}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3', 'T4']}, {'task_id': 'T2', 'duration': 5, 'demands': [5, 6, 2], 'successors': ['T6', 'T8']}, {'task_id': 'T3', 'duration': 1, 'demands': [4, 7, 5], 'successors': ['T5', 'T8']}, {'task_id': 'T4', 'duration': 3, 'demands': [8, 2, 1], 'successors': ['T6', 'T7']}, {'task_id': 'T5', 'duration': 5, 'demands': [7, 2, 6], 'successors': ['T9', 'T10']}, {'task_id': 'T6', 'duration': 3, 'demands': [5, 8, 7], 'successors': ['T9', 'T10']}, {'task_id': 'T7', 'duration': 5, 'demands': [6, 7, 3], 'successors': ['T9', 'T10']}, {'task_id': 'T8', 'duration': 9, 'demands': [2, 3, 6], 'successors': ['T9']}, {'task_id': 'T9', 'duration': 5, 'demands': [4, 3, 4], 'successors': ['T12']}, {'task_id': 'T10', 'duration': 12, 'demands': [4, 4, 7], 'successors': ['T12']}, {'task_id': 'T11', 'duration': 1, 'demands': [4, 2, 3], 'successors': ['T13']}, {'task_id': 'T12', 'duration': 3, 'demands': [1, 7, 7], 'successors': ['T14']}, {'task_id': 'T13', 'duration': 12, 'demands': [4, 5, 7], 'successors': ['T14', 'T16']}, {'task_id': 'T14', 'duration': 4, 'demands': [4, 6, 8], 'successors': ['T17']}, {'task_id': 'T15', 'duration': 1, 'demands': [2, 1, 5], 'successors': ['T17']}, {'task_id': 'T16', 'duration': 4, 'demands': [7, 2, 5], 'successors': ['T18']}, {'task_id': 'T17', 'duration': 9, 'demands': [4, 5, 5], 'successors': ['T19']}, {'task_id': 'T18', 'duration': 1, 'demands': [1, 9, 3], 'successors': ['T19']}, {'task_id': 'T19', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 1, 'end': 6, 'duration': 5, 'demands': [5, 6, 2]}, {'task': 'T3', 'start': 6, 'end': 7, 'duration': 1, 'demands': [4, 7, 5]}, {'task': 'T4', 'start': 7, 'end': 10, 'duration': 3, 'demands': [8, 2, 1]}, {'task': 'T5', 'start': 15, 'end': 20, 'duration': 5, 'demands': [7, 2, 6]}, {'task': 'T6', 'start': 20, 'end': 23, 'duration': 3, 'demands': [5, 8, 7]}, {'task': 'T7', 'start': 10, 'end': 15, 'duration': 5, 'demands': [6, 7, 3]}, {'task': 'T8', 'start': 7, 'end': 16, 'duration': 9, 'demands': [2, 3, 6]}, {'task': 'T9', 'start': 23, 'end': 28, 'duration': 5, 'demands': [4, 3, 4]}, {'task': 'T10', 'start': 23, 'end': 35, 'duration': 12, 'demands': [4, 4, 7]}, {'task': 'T11', 'start': 0, 'end': 1, 'duration': 1, 'demands': [4, 2, 3]}, {'task': 'T12', 'start': 35, 'end': 38, 'duration': 3, 'demands': [1, 7, 7]}, {'task': 'T13', 'start': 38, 'end': 50, 'duration': 12, 'demands': [4, 5, 7]}, {'task': 'T14', 'start': 50, 'end': 54, 'duration': 4, 'demands': [4, 6, 8]}, {'task': 'T15', 'start': 0, 'end': 1, 'duration': 1, 'demands': [2, 1, 5]}, {'task': 'T16', 'start': 54, 'end': 58, 'duration': 4, 'demands': [7, 2, 5]}, {'task': 'T17', 'start': 54, 'end': 63, 'duration': 9, 'demands': [4, 5, 5]}, {'task': 'T18', 'start': 63, 'end': 64, 'duration': 1, 'demands': [1, 9, 3]}, {'task': 'T19', 'start': 64, 'end': 65, 'duration': 1, 'demands': [0, 0, 0]}]",49,nl,1
RCPSP,RCPSP,"Recently the engineering crew faced a staged rollout where every stage runs for a known stretch of time and consumes some servers and network capacity while active, and certain stages have to wait for earlier ones to finish. The planner’s job was to pick start moments for each stage so the whole rollout completes as quickly as possible — success is simply the finish time of the final stage, so a smaller finish time is better. It’s important that every stage appears once and only once, no stage begins before its prerequisites are done, and the combined server and bandwidth usage at any second never exceeds what’s available. The detailed instance (tasks, times, resources) follows below.
{
""nr_stages"": 21,
""nr_resource_types"": 3,
""resources"": [
""A"",
""B"",
""C""
],
""resource_capacities"": [
{
""resource_id"": ""A"",
""capacity"": 11
},
{
""resource_id"": ""B"",
""capacity"": 10
},
{
""resource_id"": ""C"",
""capacity"": 13
}
],
""tasks"": [
{
""stage_id"": ""T1"",
""stage_duration"": 1,
""stage_resource_demands"": [
0,
0,
0
],
""successor_stage_ids"": [
""T2"",
""T3"",
""T4""
]
},
{
""stage_id"": ""T2"",
""stage_duration"": 15,
""stage_resource_demands"": [
5,
8,
1
],
""successor_stage_ids"": [
""T5"",
""T8""
]
},
{
""stage_id"": ""T3"",
""stage_duration"": 3,
""stage_resource_demands"": [
4,
7,
2
],
""successor_stage_ids"": [
""T5"",
""T6"",
""T7""
]
},
{
""stage_id"": ""T4"",
""stage_duration"": 9,
""stage_resource_demands"": [
5,
1,
1
],
""successor_stage_ids"": [
""T6"",
""T8""
]
},
{
""stage_id"": ""T5"",
""stage_duration"": 4,
""stage_resource_demands"": [
7,
2,
3
],
""successor_stage_ids"": [
""T9"",
""T10""
]
},
{
""stage_id"": ""T6"",
""stage_duration"": 11,
""stage_resource_demands"": [
8,
6,
6
],
""successor_stage_ids"": [
""T11"",
""T12""
]
},
{
""stage_id"": ""T7"",
""stage_duration"": 4,
""stage_resource_demands"": [
2,
9,
1
],
""successor_stage_ids"": [
""T9"",
""T10""
]
},
{
""stage_id"": ""T8"",
""stage_duration"": 1,
""stage_resource_demands"": [
2,
4,
4
],
""successor_stage_ids"": [
""T10"",
""T12""
]
},
{
""stage_id"": ""T9"",
""stage_duration"": 3,
""stage_resource_demands"": [
2,
3,
4
],
""successor_stage_ids"": [
""T14"",
""T15""
]
},
{
""stage_id"": ""T10"",
""stage_duration"": 5,
""stage_resource_demands"": [
2,
3,
4
],
""successor_stage_ids"": [
""T13""
]
},
{
""stage_id"": ""T11"",
""stage_duration"": 13,
""stage_resource_demands"": [
3,
4,
3
],
""successor_stage_ids"": [
""T14""
]
},
{
""stage_id"": ""T12"",
""stage_duration"": 2,
""stage_resource_demands"": [
7,
1,
5
],
""successor_stage_ids"": [
""T15""
]
},
{
""stage_id"": ""T13"",
""stage_duration"": 3,
""stage_resource_demands"": [
1,
6,
4
],
""successor_stage_ids"": [
""T17"",
""T18""
]
},
{
""stage_id"": ""T14"",
""stage_duration"": 5,
""stage_resource_demands"": [
1,
3,
4
],
""successor_stage_ids"": [
""T16""
]
},
{
""stage_id"": ""T15"",
""stage_duration"": 6,
""stage_resource_demands"": [
4,
10,
7
],
""successor_stage_ids"": [
""T17""
]
},
{
""stage_id"": ""T16"",
""stage_duration"": 5,
""stage_resource_demands"": [
7,
4,
4
],
""successor_stage_ids"": []
},
{
""stage_id"": ""T17"",
""stage_duration"": 1,
""stage_resource_demands"": [
2,
3,
3
],
""successor_stage_ids"": []
},
{
""stage_id"": ""T18"",
""stage_duration"": 6,
""stage_resource_demands"": [
4,
4,
8
],
""successor_stage_ids"": [
""T19""
]
},
{
""stage_id"": ""T19"",
""stage_duration"": 4,
""stage_resource_demands"": [
2,
4,
2
],
""successor_stage_ids"": [
""T20""
]
},
{
""stage_id"": ""T20"",
""stage_duration"": 1,
""stage_resource_demands"": [
0,
1,
2
],
""successor_stage_ids"": [
""T21""
]
},
{
""stage_id"": ""T21"",
""stage_duration"": 1,
""stage_resource_demands"": [
0,
0,
0
],
""successor_stage_ids"": []
}
]
}
Also, to keep things tidy when you send back the schedule, please follow this simple JSON layout — just a little template to show how I expect the answer to be shaped:
{
""solution"": [
{
""task"": <task_id>,
""start"": <start_time>,
""end"": <end_time>
}
]
}
Think of this like a little form: ""solution"" is a list of stages, and each entry says which task it is and when it begins and finishes. Super casual — just fill in each task once with its start and end times from the instance. This block is only a sketch of the shape I want, not the actual schedule.
Please be sure to use the exact identifiers as they appear in the instance input — do not rename tasks or invent new labels.
Valid identifiers look like plain numbers such as “1” or “23”, single capital letters like “A” or “B”, or a capital letter followed by digits like “A1” or “X7”.","{'nr_tasks': 21, 'nr_resources': 3, 'capacities': [11, 10, 13], 'tasks': [{'duration': 1, 'demands': [0, 0, 0], 'successors': [1, 2, 3]}, {'duration': 15, 'demands': [5, 8, 1], 'successors': [4, 7]}, {'duration': 3, 'demands': [4, 7, 2], 'successors': [4, 5, 6]}, {'duration': 9, 'demands': [5, 1, 1], 'successors': [5, 7]}, {'duration': 4, 'demands': [7, 2, 3], 'successors': [8, 9]}, {'duration': 11, 'demands': [8, 6, 6], 'successors': [10, 11]}, {'duration': 4, 'demands': [2, 9, 1], 'successors': [8, 9]}, {'duration': 1, 'demands': [2, 4, 4], 'successors': [9, 11]}, {'duration': 3, 'demands': [2, 3, 4], 'successors': [13, 14]}, {'duration': 5, 'demands': [2, 3, 4], 'successors': [12]}, {'duration': 13, 'demands': [3, 4, 3], 'successors': [13]}, {'duration': 2, 'demands': [7, 1, 5], 'successors': [14]}, {'duration': 3, 'demands': [1, 6, 4], 'successors': [16, 17]}, {'duration': 5, 'demands': [1, 3, 4], 'successors': [15]}, {'duration': 6, 'demands': [4, 10, 7], 'successors': [16]}, {'duration': 5, 'demands': [7, 4, 4], 'successors': []}, {'duration': 1, 'demands': [2, 3, 3], 'successors': []}, {'duration': 6, 'demands': [4, 4, 8], 'successors': [18]}, {'duration': 4, 'demands': [2, 4, 2], 'successors': [19]}, {'duration': 1, 'demands': [0, 1, 2], 'successors': [20]}, {'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 0, 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 1, 'start': 1, 'end': 16, 'duration': 15, 'demands': [5, 8, 1]}, {'task': 2, 'start': 16, 'end': 19, 'duration': 3, 'demands': [4, 7, 2]}, {'task': 3, 'start': 1, 'end': 10, 'duration': 9, 'demands': [5, 1, 1]}, {'task': 4, 'start': 34, 'end': 38, 'duration': 4, 'demands': [7, 2, 3]}, {'task': 5, 'start': 19, 'end': 30, 'duration': 11, 'demands': [8, 6, 6]}, {'task': 6, 'start': 30, 'end': 34, 'duration': 4, 'demands': [2, 9, 1]}, {'task': 7, 'start': 19, 'end': 20, 'duration': 1, 'demands': [2, 4, 4]}, {'task': 8, 'start': 38, 'end': 41, 'duration': 3, 'demands': [2, 3, 4]}, {'task': 9, 'start': 38, 'end': 43, 'duration': 5, 'demands': [2, 3, 4]}, {'task': 10, 'start': 34, 'end': 47, 'duration': 13, 'demands': [3, 4, 3]}, {'task': 11, 'start': 30, 'end': 32, 'duration': 2, 'demands': [7, 1, 5]}, {'task': 12, 'start': 43, 'end': 46, 'duration': 3, 'demands': [1, 6, 4]}, {'task': 13, 'start': 47, 'end': 52, 'duration': 5, 'demands': [1, 3, 4]}, {'task': 14, 'start': 52, 'end': 58, 'duration': 6, 'demands': [4, 10, 7]}, {'task': 15, 'start': 58, 'end': 63, 'duration': 5, 'demands': [7, 4, 4]}, {'task': 16, 'start': 62, 'end': 63, 'duration': 1, 'demands': [2, 3, 3]}, {'task': 17, 'start': 46, 'end': 52, 'duration': 6, 'demands': [4, 4, 8]}, {'task': 18, 'start': 58, 'end': 62, 'duration': 4, 'demands': [2, 4, 2]}, {'task': 19, 'start': 62, 'end': 63, 'duration': 1, 'demands': [0, 1, 2]}, {'task': 20, 'start': 63, 'end': 64, 'duration': 1, 'demands': [0, 0, 0]}]",64.0,"{'problem_type': 'RCPSP', 'nr_tasks': 21, 'nr_resources': 3, 'tasks': ['T1', 'T2', 'T3', 'T4', 'T5', 'T6', 'T7', 'T8', 'T9', 'T10', 'T11', 'T12', 'T13', 'T14', 'T15', 'T16', 'T17', 'T18', 'T19', 'T20', 'T21'], 'resources': ['A', 'B', 'C'], 'resource_capacities': [{'resource_id': 'A', 'capacity': 11}, {'resource_id': 'B', 'capacity': 10}, {'resource_id': 'C', 'capacity': 13}], 'task_records': [{'task_id': 'T1', 'duration': 1, 'demands': [0, 0, 0], 'successors': ['T2', 'T3', 'T4']}, {'task_id': 'T2', 'duration': 15, 'demands': [5, 8, 1], 'successors': ['T5', 'T8']}, {'task_id': 'T3', 'duration': 3, 'demands': [4, 7, 2], 'successors': ['T5', 'T6', 'T7']}, {'task_id': 'T4', 'duration': 9, 'demands': [5, 1, 1], 'successors': ['T6', 'T8']}, {'task_id': 'T5', 'duration': 4, 'demands': [7, 2, 3], 'successors': ['T9', 'T10']}, {'task_id': 'T6', 'duration': 11, 'demands': [8, 6, 6], 'successors': ['T11', 'T12']}, {'task_id': 'T7', 'duration': 4, 'demands': [2, 9, 1], 'successors': ['T9', 'T10']}, {'task_id': 'T8', 'duration': 1, 'demands': [2, 4, 4], 'successors': ['T10', 'T12']}, {'task_id': 'T9', 'duration': 3, 'demands': [2, 3, 4], 'successors': ['T14', 'T15']}, {'task_id': 'T10', 'duration': 5, 'demands': [2, 3, 4], 'successors': ['T13']}, {'task_id': 'T11', 'duration': 13, 'demands': [3, 4, 3], 'successors': ['T14']}, {'task_id': 'T12', 'duration': 2, 'demands': [7, 1, 5], 'successors': ['T15']}, {'task_id': 'T13', 'duration': 3, 'demands': [1, 6, 4], 'successors': ['T17', 'T18']}, {'task_id': 'T14', 'duration': 5, 'demands': [1, 3, 4], 'successors': ['T16']}, {'task_id': 'T15', 'duration': 6, 'demands': [4, 10, 7], 'successors': ['T17']}, {'task_id': 'T16', 'duration': 5, 'demands': [7, 4, 4], 'successors': []}, {'task_id': 'T17', 'duration': 1, 'demands': [2, 3, 3], 'successors': []}, {'task_id': 'T18', 'duration': 6, 'demands': [4, 4, 8], 'successors': ['T19']}, {'task_id': 'T19', 'duration': 4, 'demands': [2, 4, 2], 'successors': ['T20']}, {'task_id': 'T20', 'duration': 1, 'demands': [0, 1, 2], 'successors': ['T21']}, {'task_id': 'T21', 'duration': 1, 'demands': [0, 0, 0], 'successors': []}]}","[{'task': 'T1', 'start': 0, 'end': 1, 'duration': 1, 'demands': [0, 0, 0]}, {'task': 'T2', 'start': 1, 'end': 16, 'duration': 15, 'demands': [5, 8, 1]}, {'task': 'T3', 'start': 16, 'end': 19, 'duration': 3, 'demands': [4, 7, 2]}, {'task': 'T4', 'start': 1, 'end': 10, 'duration': 9, 'demands': [5, 1, 1]}, {'task': 'T5', 'start': 34, 'end': 38, 'duration': 4, 'demands': [7, 2, 3]}, {'task': 'T6', 'start': 19, 'end': 30, 'duration': 11, 'demands': [8, 6, 6]}, {'task': 'T7', 'start': 30, 'end': 34, 'duration': 4, 'demands': [2, 9, 1]}, {'task': 'T8', 'start': 19, 'end': 20, 'duration': 1, 'demands': [2, 4, 4]}, {'task': 'T9', 'start': 38, 'end': 41, 'duration': 3, 'demands': [2, 3, 4]}, {'task': 'T10', 'start': 38, 'end': 43, 'duration': 5, 'demands': [2, 3, 4]}, {'task': 'T11', 'start': 34, 'end': 47, 'duration': 13, 'demands': [3, 4, 3]}, {'task': 'T12', 'start': 30, 'end': 32, 'duration': 2, 'demands': [7, 1, 5]}, {'task': 'T13', 'start': 43, 'end': 46, 'duration': 3, 'demands': [1, 6, 4]}, {'task': 'T14', 'start': 47, 'end': 52, 'duration': 5, 'demands': [1, 3, 4]}, {'task': 'T15', 'start': 52, 'end': 58, 'duration': 6, 'demands': [4, 10, 7]}, {'task': 'T16', 'start': 58, 'end': 63, 'duration': 5, 'demands': [7, 4, 4]}, {'task': 'T17', 'start': 62, 'end': 63, 'duration': 1, 'demands': [2, 3, 3]}, {'task': 'T18', 'start': 46, 'end': 52, 'duration': 6, 'demands': [4, 4, 8]}, {'task': 'T19', 'start': 58, 'end': 62, 'duration': 4, 'demands': [2, 4, 2]}, {'task': 'T20', 'start': 62, 'end': 63, 'duration': 1, 'demands': [0, 1, 2]}, {'task': 'T21', 'start': 63, 'end': 64, 'duration': 1, 'demands': [0, 0, 0]}]",50,json,names
|