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"""Synthetic instance generators for all registered problem types."""
from __future__ import annotations
import hashlib
import random
from typing import Any
from optos.constants import PROBLEM_TYPES, SIZE_PRESETS
from optos.models import InstanceFeatures, ProblemInstance
def _rng(seed: int) -> random.Random:
return random.Random(seed)
def _instance_id(problem_type: str, size: str, seed: int) -> str:
raw = f"{problem_type}_{size}_{seed}"
return hashlib.md5(raw.encode()).hexdigest()[:12]
def _scale_n(base: int, size: str) -> int:
return max(2, int(base * SIZE_PRESETS[size]["scale"]))
def generate_scheduling(rng: random.Random, size: str) -> dict[str, Any]:
n_jobs = _scale_n(6, size)
n_machines = _scale_n(4, size)
processing_times = [
[rng.randint(2, 12) for _ in range(n_machines)]
for _ in range(n_jobs)
]
machine_order = [
list(range(n_machines))
for _ in range(n_jobs)
]
return {
"n_jobs": n_jobs,
"n_machines": n_machines,
"processing_times": processing_times,
"machine_order": machine_order,
}
def generate_routing(rng: random.Random, size: str) -> dict[str, Any]:
n_customers = _scale_n(12, size)
n_vehicles = max(2, n_customers // 4)
depot = (50.0, 50.0)
customers = [
(rng.uniform(0, 100), rng.uniform(0, 100))
for _ in range(n_customers)
]
demands = [rng.randint(1, 10) for _ in range(n_customers)]
vehicle_capacity = max(demands) * 3
return {
"n_customers": n_customers,
"n_vehicles": n_vehicles,
"depot": depot,
"customers": customers,
"demands": demands,
"vehicle_capacity": vehicle_capacity,
}
def generate_assignment(rng: random.Random, size: str) -> dict[str, Any]:
n = _scale_n(8, size)
cost_matrix = [
[rng.randint(1, 50) for _ in range(n)]
for _ in range(n)
]
return {"n_agents": n, "cost_matrix": cost_matrix}
def generate_inventory(rng: random.Random, size: str) -> dict[str, Any]:
n_items = _scale_n(10, size)
horizon = _scale_n(14, size)
demand = [
[rng.randint(5, 30) for _ in range(horizon)]
for _ in range(n_items)
]
holding_cost = [rng.uniform(0.5, 2.0) for _ in range(n_items)]
stockout_cost = [rng.uniform(5.0, 20.0) for _ in range(n_items)]
order_cost = [rng.uniform(10.0, 50.0) for _ in range(n_items)]
initial_stock = [rng.randint(10, 40) for _ in range(n_items)]
return {
"n_items": n_items,
"horizon": horizon,
"demand": demand,
"holding_cost": holding_cost,
"stockout_cost": stockout_cost,
"order_cost": order_cost,
"initial_stock": initial_stock,
"max_order": [max(d) * 2 for d in demand],
}
def generate_facility_location(rng: random.Random, size: str) -> dict[str, Any]:
n_facilities = _scale_n(6, size)
n_customers = _scale_n(15, size)
fixed_costs = [rng.randint(100, 500) for _ in range(n_facilities)]
transport_costs = [
[rng.randint(1, 30) for _ in range(n_facilities)]
for _ in range(n_customers)
]
return {
"n_facilities": n_facilities,
"n_customers": n_customers,
"fixed_costs": fixed_costs,
"transport_costs": transport_costs,
}
def generate_packing(rng: random.Random, size: str) -> dict[str, Any]:
n_items = _scale_n(20, size)
bin_capacity = 100
item_sizes = [rng.randint(10, 45) for _ in range(n_items)]
return {
"n_items": n_items,
"bin_capacity": bin_capacity,
"item_sizes": item_sizes,
}
GENERATORS = {
"scheduling": generate_scheduling,
"routing": generate_routing,
"assignment": generate_assignment,
"inventory": generate_inventory,
"facility_location": generate_facility_location,
"packing": generate_packing,
}
def _estimate_features(problem_type: str, data: dict[str, Any]) -> InstanceFeatures:
if problem_type == "scheduling":
n_vars = data["n_jobs"] * data["n_machines"] * 2
n_cons = data["n_jobs"] * (data["n_machines"] - 1) + data["n_machines"]
elif problem_type == "routing":
n_vars = data["n_customers"] * data["n_vehicles"]
n_cons = data["n_customers"] + data["n_vehicles"]
elif problem_type == "assignment":
n = data["n_agents"]
n_vars = n * n
n_cons = 2 * n
elif problem_type == "inventory":
n_vars = data["n_items"] * data["horizon"]
n_cons = data["n_items"] * data["horizon"]
elif problem_type == "facility_location":
nf, nc = data["n_facilities"], data["n_customers"]
n_vars = nf + nf * nc
n_cons = nc + nf * nc
elif problem_type == "packing":
n_vars = data["n_items"] * data["n_items"]
n_cons = data["n_items"] + data["n_items"]
else:
n_vars, n_cons = 10, 10
return InstanceFeatures(
n_variables=n_vars,
n_constraints=n_cons,
density=round(min(1.0, n_cons / max(n_vars, 1)), 3),
pct_integer=0.85,
constraint_tightness=round(random.Random(0).uniform(0.4, 0.8), 3),
)
def generate_instance(
problem_type: str,
size: str = "medium",
seed: int = 42,
constraints: dict[str, Any] | None = None,
objectives: dict[str, Any] | None = None,
) -> ProblemInstance:
if problem_type not in PROBLEM_TYPES:
raise ValueError(f"Unknown problem type: {problem_type}")
rng = _rng(seed)
data = GENERATORS[problem_type](rng, size)
features = _estimate_features(problem_type, data)
meta = PROBLEM_TYPES[problem_type]
label = f"{meta['label']} · {SIZE_PRESETS.get(size, {}).get('label', size)} · seed={seed}"
return ProblemInstance(
problem_type=problem_type,
instance_id=_instance_id(problem_type, size, seed),
label=label,
size=size,
seed=seed,
data=data,
features=features,
constraints=constraints or {},
objectives=objectives or {"primary": meta.get("objective", "minimize")},
)