feat: Full VRP/TSP route optimizer with OR-Tools, 2-opt, time windows, before/after comparison, DBSCAN clustering
#29
by MouleeswaranM - opened
brain/app/services/route_optimization_engine.py
ADDED
|
@@ -0,0 +1,644 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
"""
|
| 2 |
+
Route Optimization Engine β Full VRP/TSP Implementation
|
| 3 |
+
========================================================
|
| 4 |
+
|
| 5 |
+
Addresses Challenge #4: "Suboptimal route selection increasing total travel distance"
|
| 6 |
+
|
| 7 |
+
Features:
|
| 8 |
+
1. Multi-stop TSP within routes (OR-Tools Routing + 2-opt local search)
|
| 9 |
+
2. Time window constraints per stop (AddDimension + SetRange)
|
| 10 |
+
3. Before/after route comparison with distance savings
|
| 11 |
+
4. DBSCAN clustering option (discovers K automatically, handles arbitrary shapes)
|
| 12 |
+
5. Dynamic re-routing via cheapest-insertion heuristic
|
| 13 |
+
6. Traffic-aware effective speed (via traffic_integration)
|
| 14 |
+
|
| 15 |
+
This module is called AFTER clustering assigns packages to routes,
|
| 16 |
+
to optimize the STOP ORDER within each route.
|
| 17 |
+
"""
|
| 18 |
+
|
| 19 |
+
import math
|
| 20 |
+
import time
|
| 21 |
+
import logging
|
| 22 |
+
from typing import List, Dict, Any, Optional, Tuple
|
| 23 |
+
from dataclasses import dataclass, field
|
| 24 |
+
|
| 25 |
+
logger = logging.getLogger("fairrelay.route_optimizer")
|
| 26 |
+
|
| 27 |
+
|
| 28 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 29 |
+
# DATA STRUCTURES
|
| 30 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 31 |
+
|
| 32 |
+
@dataclass
|
| 33 |
+
class Stop:
|
| 34 |
+
"""A delivery stop with coordinates and optional time window."""
|
| 35 |
+
id: str
|
| 36 |
+
lat: float
|
| 37 |
+
lng: float
|
| 38 |
+
address: str = ""
|
| 39 |
+
weight_kg: float = 0.0
|
| 40 |
+
service_time_min: float = 5.0 # Time spent at stop
|
| 41 |
+
time_window_start: Optional[int] = None # Minutes from route start
|
| 42 |
+
time_window_end: Optional[int] = None # Minutes from route start
|
| 43 |
+
priority: str = "normal"
|
| 44 |
+
|
| 45 |
+
|
| 46 |
+
@dataclass
|
| 47 |
+
class RouteOptResult:
|
| 48 |
+
"""Result of route optimization."""
|
| 49 |
+
ordered_stops: List[Stop]
|
| 50 |
+
total_distance_km: float
|
| 51 |
+
total_time_minutes: float
|
| 52 |
+
naive_distance_km: float # Before optimization
|
| 53 |
+
distance_saved_km: float # Improvement
|
| 54 |
+
distance_saved_pct: float # % improvement
|
| 55 |
+
optimization_method: str # "or_tools_vrp" | "2_opt" | "nearest_neighbor"
|
| 56 |
+
time_windows_respected: bool
|
| 57 |
+
num_stops: int
|
| 58 |
+
polyline_points: List[Tuple[float, float]] # Ordered (lat, lng) for map
|
| 59 |
+
|
| 60 |
+
|
| 61 |
+
@dataclass
|
| 62 |
+
class RouteComparison:
|
| 63 |
+
"""Before vs after comparison for Challenge #4."""
|
| 64 |
+
route_id: str
|
| 65 |
+
before: Dict[str, Any]
|
| 66 |
+
after: Dict[str, Any]
|
| 67 |
+
improvement: Dict[str, Any]
|
| 68 |
+
|
| 69 |
+
|
| 70 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 71 |
+
# CORE: HAVERSINE DISTANCE
|
| 72 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 73 |
+
|
| 74 |
+
def haversine_km(lat1: float, lng1: float, lat2: float, lng2: float) -> float:
|
| 75 |
+
"""Haversine distance in km."""
|
| 76 |
+
R = 6371
|
| 77 |
+
dlat = math.radians(lat2 - lat1)
|
| 78 |
+
dlng = math.radians(lng2 - lng1)
|
| 79 |
+
a = math.sin(dlat/2)**2 + math.cos(math.radians(lat1)) * math.cos(math.radians(lat2)) * math.sin(dlng/2)**2
|
| 80 |
+
return R * 2 * math.asin(math.sqrt(a))
|
| 81 |
+
|
| 82 |
+
|
| 83 |
+
def build_distance_matrix(stops: List[Stop], depot_lat: float, depot_lng: float) -> List[List[int]]:
|
| 84 |
+
"""Build distance matrix (in meters) with depot at index 0."""
|
| 85 |
+
all_points = [(depot_lat, depot_lng)] + [(s.lat, s.lng) for s in stops]
|
| 86 |
+
n = len(all_points)
|
| 87 |
+
matrix = [[0] * n for _ in range(n)]
|
| 88 |
+
for i in range(n):
|
| 89 |
+
for j in range(n):
|
| 90 |
+
if i != j:
|
| 91 |
+
d = haversine_km(all_points[i][0], all_points[i][1], all_points[j][0], all_points[j][1])
|
| 92 |
+
matrix[i][j] = int(d * 1000) # Convert to meters for OR-Tools
|
| 93 |
+
return matrix
|
| 94 |
+
|
| 95 |
+
|
| 96 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 97 |
+
# METHOD 1: OR-TOOLS VRP WITH TIME WINDOWS
|
| 98 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 99 |
+
|
| 100 |
+
def solve_vrp_ortools(
|
| 101 |
+
stops: List[Stop],
|
| 102 |
+
depot_lat: float,
|
| 103 |
+
depot_lng: float,
|
| 104 |
+
speed_kmh: float = 30.0,
|
| 105 |
+
max_time_seconds: int = 5,
|
| 106 |
+
) -> Optional[List[int]]:
|
| 107 |
+
"""
|
| 108 |
+
Solve TSP/VRP using OR-Tools Routing Library with time windows.
|
| 109 |
+
|
| 110 |
+
Returns ordered indices into stops list, or None if solver fails.
|
| 111 |
+
"""
|
| 112 |
+
try:
|
| 113 |
+
from ortools.constraint_solver import routing_enums_pb2, pywrapcp
|
| 114 |
+
except ImportError:
|
| 115 |
+
return None
|
| 116 |
+
|
| 117 |
+
n = len(stops) + 1 # +1 for depot
|
| 118 |
+
if n <= 2:
|
| 119 |
+
return list(range(len(stops)))
|
| 120 |
+
|
| 121 |
+
# Build distance matrix
|
| 122 |
+
dist_matrix = build_distance_matrix(stops, depot_lat, depot_lng)
|
| 123 |
+
|
| 124 |
+
# Create routing index manager (1 vehicle, depot at node 0)
|
| 125 |
+
manager = pywrapcp.RoutingIndexManager(n, 1, 0)
|
| 126 |
+
routing = pywrapcp.RoutingModel(manager)
|
| 127 |
+
|
| 128 |
+
# Distance callback
|
| 129 |
+
def distance_callback(from_index, to_index):
|
| 130 |
+
from_node = manager.IndexToNode(from_index)
|
| 131 |
+
to_node = manager.IndexToNode(to_index)
|
| 132 |
+
return dist_matrix[from_node][to_node]
|
| 133 |
+
|
| 134 |
+
transit_callback_index = routing.RegisterTransitCallback(distance_callback)
|
| 135 |
+
routing.SetArcCostEvaluatorOfAllVehicles(transit_callback_index)
|
| 136 |
+
|
| 137 |
+
# Time dimension (for time windows)
|
| 138 |
+
has_time_windows = any(s.time_window_start is not None for s in stops)
|
| 139 |
+
|
| 140 |
+
if has_time_windows:
|
| 141 |
+
def time_callback(from_index, to_index):
|
| 142 |
+
from_node = manager.IndexToNode(from_index)
|
| 143 |
+
to_node = manager.IndexToNode(to_index)
|
| 144 |
+
# Travel time in minutes
|
| 145 |
+
dist_km = dist_matrix[from_node][to_node] / 1000
|
| 146 |
+
travel_min = (dist_km / speed_kmh) * 60
|
| 147 |
+
# Add service time at destination
|
| 148 |
+
if to_node > 0:
|
| 149 |
+
travel_min += stops[to_node - 1].service_time_min
|
| 150 |
+
return int(travel_min)
|
| 151 |
+
|
| 152 |
+
time_callback_index = routing.RegisterTransitCallback(time_callback)
|
| 153 |
+
|
| 154 |
+
# Add time dimension
|
| 155 |
+
max_route_time = 720 # 12 hours max
|
| 156 |
+
routing.AddDimension(
|
| 157 |
+
time_callback_index,
|
| 158 |
+
30, # Slack (waiting time allowed)
|
| 159 |
+
max_route_time, # Max cumulative time
|
| 160 |
+
False, # Don't force start at 0
|
| 161 |
+
'Time'
|
| 162 |
+
)
|
| 163 |
+
time_dimension = routing.GetDimensionOrDie('Time')
|
| 164 |
+
|
| 165 |
+
# Set time windows
|
| 166 |
+
for i, stop in enumerate(stops):
|
| 167 |
+
node_index = manager.NodeToIndex(i + 1)
|
| 168 |
+
if stop.time_window_start is not None and stop.time_window_end is not None:
|
| 169 |
+
time_dimension.CumulVar(node_index).SetRange(
|
| 170 |
+
int(stop.time_window_start),
|
| 171 |
+
int(stop.time_window_end)
|
| 172 |
+
)
|
| 173 |
+
|
| 174 |
+
# Depot time window (start at 0, end at max)
|
| 175 |
+
time_dimension.CumulVar(routing.Start(0)).SetRange(0, max_route_time)
|
| 176 |
+
|
| 177 |
+
# Solve with time limit
|
| 178 |
+
search_params = pywrapcp.DefaultRoutingSearchParameters()
|
| 179 |
+
search_params.first_solution_strategy = routing_enums_pb2.FirstSolutionStrategy.PATH_CHEAPEST_ARC
|
| 180 |
+
search_params.local_search_metaheuristic = routing_enums_pb2.LocalSearchMetaheuristic.GUIDED_LOCAL_SEARCH
|
| 181 |
+
search_params.time_limit.FromSeconds(max_time_seconds)
|
| 182 |
+
|
| 183 |
+
solution = routing.SolveWithParameters(search_params)
|
| 184 |
+
|
| 185 |
+
if solution:
|
| 186 |
+
# Extract route order
|
| 187 |
+
order = []
|
| 188 |
+
index = routing.Start(0)
|
| 189 |
+
while not routing.IsEnd(index):
|
| 190 |
+
node = manager.IndexToNode(index)
|
| 191 |
+
if node > 0: # Skip depot
|
| 192 |
+
order.append(node - 1) # Map back to stops index
|
| 193 |
+
index = solution.Value(routing.NextVar(index))
|
| 194 |
+
return order
|
| 195 |
+
|
| 196 |
+
return None
|
| 197 |
+
|
| 198 |
+
|
| 199 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 200 |
+
# METHOD 2: 2-OPT LOCAL SEARCH IMPROVEMENT
|
| 201 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 202 |
+
|
| 203 |
+
def two_opt_improve(
|
| 204 |
+
stops: List[Stop],
|
| 205 |
+
depot_lat: float,
|
| 206 |
+
depot_lng: float,
|
| 207 |
+
initial_order: List[int],
|
| 208 |
+
max_iterations: int = 1000,
|
| 209 |
+
) -> List[int]:
|
| 210 |
+
"""
|
| 211 |
+
Apply 2-opt improvement to a route order.
|
| 212 |
+
|
| 213 |
+
2-opt reverses segments of the route to reduce total distance.
|
| 214 |
+
Guaranteed to converge to a local optimum.
|
| 215 |
+
"""
|
| 216 |
+
def route_distance(order: List[int]) -> float:
|
| 217 |
+
"""Total route distance including depotβfirst and lastβdepot."""
|
| 218 |
+
if not order:
|
| 219 |
+
return 0.0
|
| 220 |
+
# Depot to first stop
|
| 221 |
+
total = haversine_km(depot_lat, depot_lng, stops[order[0]].lat, stops[order[0]].lng)
|
| 222 |
+
# Between stops
|
| 223 |
+
for i in range(len(order) - 1):
|
| 224 |
+
total += haversine_km(stops[order[i]].lat, stops[order[i]].lng, stops[order[i+1]].lat, stops[order[i+1]].lng)
|
| 225 |
+
# Last stop back to depot
|
| 226 |
+
total += haversine_km(stops[order[-1]].lat, stops[order[-1]].lng, depot_lat, depot_lng)
|
| 227 |
+
return total
|
| 228 |
+
|
| 229 |
+
best_order = list(initial_order)
|
| 230 |
+
best_dist = route_distance(best_order)
|
| 231 |
+
improved = True
|
| 232 |
+
iterations = 0
|
| 233 |
+
|
| 234 |
+
while improved and iterations < max_iterations:
|
| 235 |
+
improved = False
|
| 236 |
+
iterations += 1
|
| 237 |
+
for i in range(len(best_order) - 1):
|
| 238 |
+
for j in range(i + 1, len(best_order)):
|
| 239 |
+
# Reverse segment [i:j+1]
|
| 240 |
+
new_order = best_order[:i] + best_order[i:j+1][::-1] + best_order[j+1:]
|
| 241 |
+
new_dist = route_distance(new_order)
|
| 242 |
+
if new_dist < best_dist - 0.01: # 10m improvement threshold
|
| 243 |
+
best_order = new_order
|
| 244 |
+
best_dist = new_dist
|
| 245 |
+
improved = True
|
| 246 |
+
break
|
| 247 |
+
if improved:
|
| 248 |
+
break
|
| 249 |
+
|
| 250 |
+
return best_order
|
| 251 |
+
|
| 252 |
+
|
| 253 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 254 |
+
# METHOD 3: NEAREST NEIGHBOR (BASELINE)
|
| 255 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 256 |
+
|
| 257 |
+
def nearest_neighbor_order(stops: List[Stop], depot_lat: float, depot_lng: float) -> List[int]:
|
| 258 |
+
"""Simple nearest-neighbor heuristic as baseline."""
|
| 259 |
+
if not stops:
|
| 260 |
+
return []
|
| 261 |
+
|
| 262 |
+
remaining = list(range(len(stops)))
|
| 263 |
+
order = []
|
| 264 |
+
curr_lat, curr_lng = depot_lat, depot_lng
|
| 265 |
+
|
| 266 |
+
while remaining:
|
| 267 |
+
nearest_idx = min(remaining, key=lambda i: haversine_km(curr_lat, curr_lng, stops[i].lat, stops[i].lng))
|
| 268 |
+
order.append(nearest_idx)
|
| 269 |
+
remaining.remove(nearest_idx)
|
| 270 |
+
curr_lat, curr_lng = stops[nearest_idx].lat, stops[nearest_idx].lng
|
| 271 |
+
|
| 272 |
+
return order
|
| 273 |
+
|
| 274 |
+
|
| 275 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 276 |
+
# METHOD 4: CHEAPEST INSERTION (DYNAMIC RE-ROUTING)
|
| 277 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 278 |
+
|
| 279 |
+
def cheapest_insertion(
|
| 280 |
+
existing_order: List[int],
|
| 281 |
+
new_stop_idx: int,
|
| 282 |
+
stops: List[Stop],
|
| 283 |
+
depot_lat: float,
|
| 284 |
+
depot_lng: float,
|
| 285 |
+
) -> List[int]:
|
| 286 |
+
"""
|
| 287 |
+
Insert a new stop into an existing route at the cheapest position.
|
| 288 |
+
Used for dynamic re-routing when new packages arrive mid-route.
|
| 289 |
+
"""
|
| 290 |
+
if not existing_order:
|
| 291 |
+
return [new_stop_idx]
|
| 292 |
+
|
| 293 |
+
def segment_cost(from_lat, from_lng, to_lat, to_lng):
|
| 294 |
+
return haversine_km(from_lat, from_lng, to_lat, to_lng)
|
| 295 |
+
|
| 296 |
+
new_stop = stops[new_stop_idx]
|
| 297 |
+
best_position = 0
|
| 298 |
+
best_cost_increase = float('inf')
|
| 299 |
+
|
| 300 |
+
# Try inserting at each position
|
| 301 |
+
for pos in range(len(existing_order) + 1):
|
| 302 |
+
if pos == 0:
|
| 303 |
+
prev_lat, prev_lng = depot_lat, depot_lng
|
| 304 |
+
else:
|
| 305 |
+
prev_stop = stops[existing_order[pos - 1]]
|
| 306 |
+
prev_lat, prev_lng = prev_stop.lat, prev_stop.lng
|
| 307 |
+
|
| 308 |
+
if pos == len(existing_order):
|
| 309 |
+
next_lat, next_lng = depot_lat, depot_lng
|
| 310 |
+
else:
|
| 311 |
+
next_stop = stops[existing_order[pos]]
|
| 312 |
+
next_lat, next_lng = next_stop.lat, next_stop.lng
|
| 313 |
+
|
| 314 |
+
# Cost of current segment (prev β next)
|
| 315 |
+
current_cost = segment_cost(prev_lat, prev_lng, next_lat, next_lng)
|
| 316 |
+
# Cost after insertion (prev β new β next)
|
| 317 |
+
new_cost = (segment_cost(prev_lat, prev_lng, new_stop.lat, new_stop.lng) +
|
| 318 |
+
segment_cost(new_stop.lat, new_stop.lng, next_lat, next_lng))
|
| 319 |
+
|
| 320 |
+
cost_increase = new_cost - current_cost
|
| 321 |
+
if cost_increase < best_cost_increase:
|
| 322 |
+
best_cost_increase = cost_increase
|
| 323 |
+
best_position = pos
|
| 324 |
+
|
| 325 |
+
result = list(existing_order)
|
| 326 |
+
result.insert(best_position, new_stop_idx)
|
| 327 |
+
return result
|
| 328 |
+
|
| 329 |
+
|
| 330 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 331 |
+
# MAIN OPTIMIZER: COMBINES ALL METHODS
|
| 332 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 333 |
+
|
| 334 |
+
def optimize_route(
|
| 335 |
+
stops: List[Stop],
|
| 336 |
+
depot_lat: float,
|
| 337 |
+
depot_lng: float,
|
| 338 |
+
speed_kmh: float = 30.0,
|
| 339 |
+
use_time_windows: bool = True,
|
| 340 |
+
max_solver_time: int = 5,
|
| 341 |
+
) -> RouteOptResult:
|
| 342 |
+
"""
|
| 343 |
+
Full route optimization pipeline:
|
| 344 |
+
1. Try OR-Tools VRP with time windows (best quality)
|
| 345 |
+
2. Apply 2-opt local search improvement
|
| 346 |
+
3. Fallback: nearest-neighbor + 2-opt
|
| 347 |
+
|
| 348 |
+
Returns optimized route with before/after comparison.
|
| 349 |
+
"""
|
| 350 |
+
if not stops:
|
| 351 |
+
return RouteOptResult(
|
| 352 |
+
ordered_stops=[], total_distance_km=0, total_time_minutes=0,
|
| 353 |
+
naive_distance_km=0, distance_saved_km=0, distance_saved_pct=0,
|
| 354 |
+
optimization_method="empty", time_windows_respected=True,
|
| 355 |
+
num_stops=0, polyline_points=[],
|
| 356 |
+
)
|
| 357 |
+
|
| 358 |
+
t0 = time.time()
|
| 359 |
+
|
| 360 |
+
# Step 1: Compute naive (input order) distance as baseline
|
| 361 |
+
naive_order = list(range(len(stops)))
|
| 362 |
+
naive_dist = _compute_route_distance(stops, naive_order, depot_lat, depot_lng)
|
| 363 |
+
|
| 364 |
+
# Step 2: Try OR-Tools VRP
|
| 365 |
+
method = "nearest_neighbor"
|
| 366 |
+
ortools_order = None
|
| 367 |
+
|
| 368 |
+
if len(stops) >= 3:
|
| 369 |
+
ortools_order = solve_vrp_ortools(
|
| 370 |
+
stops, depot_lat, depot_lng, speed_kmh, max_solver_time
|
| 371 |
+
)
|
| 372 |
+
|
| 373 |
+
if ortools_order:
|
| 374 |
+
method = "or_tools_vrp"
|
| 375 |
+
best_order = ortools_order
|
| 376 |
+
else:
|
| 377 |
+
# Fallback: nearest neighbor
|
| 378 |
+
best_order = nearest_neighbor_order(stops, depot_lat, depot_lng)
|
| 379 |
+
|
| 380 |
+
# Step 3: Apply 2-opt improvement (always)
|
| 381 |
+
if len(stops) >= 4:
|
| 382 |
+
improved_order = two_opt_improve(stops, depot_lat, depot_lng, best_order)
|
| 383 |
+
improved_dist = _compute_route_distance(stops, improved_order, depot_lat, depot_lng)
|
| 384 |
+
current_dist = _compute_route_distance(stops, best_order, depot_lat, depot_lng)
|
| 385 |
+
|
| 386 |
+
if improved_dist < current_dist:
|
| 387 |
+
best_order = improved_order
|
| 388 |
+
method = f"{method}+2opt"
|
| 389 |
+
|
| 390 |
+
# Step 4: Compute final metrics
|
| 391 |
+
optimized_dist = _compute_route_distance(stops, best_order, depot_lat, depot_lng)
|
| 392 |
+
distance_saved = naive_dist - optimized_dist
|
| 393 |
+
saved_pct = (distance_saved / naive_dist * 100) if naive_dist > 0 else 0
|
| 394 |
+
|
| 395 |
+
# Compute total time (distance/speed + service times)
|
| 396 |
+
total_time = (optimized_dist / speed_kmh) * 60 + sum(stops[i].service_time_min for i in best_order)
|
| 397 |
+
|
| 398 |
+
# Check time windows respected
|
| 399 |
+
tw_respected = _check_time_windows(stops, best_order, depot_lat, depot_lng, speed_kmh)
|
| 400 |
+
|
| 401 |
+
# Build polyline
|
| 402 |
+
polyline = [(depot_lat, depot_lng)] + [(stops[i].lat, stops[i].lng) for i in best_order] + [(depot_lat, depot_lng)]
|
| 403 |
+
|
| 404 |
+
# Order stops
|
| 405 |
+
ordered_stops = [stops[i] for i in best_order]
|
| 406 |
+
|
| 407 |
+
return RouteOptResult(
|
| 408 |
+
ordered_stops=ordered_stops,
|
| 409 |
+
total_distance_km=round(optimized_dist, 2),
|
| 410 |
+
total_time_minutes=round(total_time, 1),
|
| 411 |
+
naive_distance_km=round(naive_dist, 2),
|
| 412 |
+
distance_saved_km=round(max(0, distance_saved), 2),
|
| 413 |
+
distance_saved_pct=round(max(0, saved_pct), 1),
|
| 414 |
+
optimization_method=method,
|
| 415 |
+
time_windows_respected=tw_respected,
|
| 416 |
+
num_stops=len(stops),
|
| 417 |
+
polyline_points=polyline,
|
| 418 |
+
)
|
| 419 |
+
|
| 420 |
+
|
| 421 |
+
def compare_routes(
|
| 422 |
+
routes: List[Dict[str, Any]],
|
| 423 |
+
depot_lat: float,
|
| 424 |
+
depot_lng: float,
|
| 425 |
+
speed_kmh: float = 30.0,
|
| 426 |
+
) -> List[RouteComparison]:
|
| 427 |
+
"""
|
| 428 |
+
Generate before/after route comparison for Challenge #4.
|
| 429 |
+
|
| 430 |
+
Args:
|
| 431 |
+
routes: List of route dicts with "stops" (list of stop dicts)
|
| 432 |
+
depot_lat, depot_lng: Warehouse coordinates
|
| 433 |
+
speed_kmh: Average speed
|
| 434 |
+
|
| 435 |
+
Returns:
|
| 436 |
+
List of RouteComparison objects showing improvement per route
|
| 437 |
+
"""
|
| 438 |
+
comparisons = []
|
| 439 |
+
|
| 440 |
+
for route in routes:
|
| 441 |
+
route_id = route.get("id", f"route_{len(comparisons)}")
|
| 442 |
+
raw_stops = route.get("stops", route.get("packages", []))
|
| 443 |
+
|
| 444 |
+
# Convert to Stop objects
|
| 445 |
+
stops = [
|
| 446 |
+
Stop(
|
| 447 |
+
id=s.get("id", f"stop_{i}"),
|
| 448 |
+
lat=s.get("latitude", s.get("lat", 0)),
|
| 449 |
+
lng=s.get("longitude", s.get("lng", 0)),
|
| 450 |
+
address=s.get("address", ""),
|
| 451 |
+
weight_kg=s.get("weight_kg", 0),
|
| 452 |
+
service_time_min=s.get("service_time_min", 5),
|
| 453 |
+
time_window_start=s.get("time_window_start"),
|
| 454 |
+
time_window_end=s.get("time_window_end"),
|
| 455 |
+
priority=s.get("priority", "normal"),
|
| 456 |
+
)
|
| 457 |
+
for i, s in enumerate(raw_stops)
|
| 458 |
+
]
|
| 459 |
+
|
| 460 |
+
if not stops:
|
| 461 |
+
continue
|
| 462 |
+
|
| 463 |
+
# Before: naive order (as received)
|
| 464 |
+
naive_dist = _compute_route_distance(stops, list(range(len(stops))), depot_lat, depot_lng)
|
| 465 |
+
naive_time = (naive_dist / speed_kmh) * 60 + sum(s.service_time_min for s in stops)
|
| 466 |
+
|
| 467 |
+
# After: optimized
|
| 468 |
+
result = optimize_route(stops, depot_lat, depot_lng, speed_kmh)
|
| 469 |
+
|
| 470 |
+
comparisons.append(RouteComparison(
|
| 471 |
+
route_id=route_id,
|
| 472 |
+
before={
|
| 473 |
+
"distance_km": round(naive_dist, 2),
|
| 474 |
+
"time_minutes": round(naive_time, 1),
|
| 475 |
+
"stop_order": [s.id for s in stops],
|
| 476 |
+
"co2_kg": round(naive_dist * 0.21, 2),
|
| 477 |
+
},
|
| 478 |
+
after={
|
| 479 |
+
"distance_km": result.total_distance_km,
|
| 480 |
+
"time_minutes": result.total_time_minutes,
|
| 481 |
+
"stop_order": [s.id for s in result.ordered_stops],
|
| 482 |
+
"co2_kg": round(result.total_distance_km * 0.21, 2),
|
| 483 |
+
"method": result.optimization_method,
|
| 484 |
+
"polyline": result.polyline_points,
|
| 485 |
+
},
|
| 486 |
+
improvement={
|
| 487 |
+
"distance_saved_km": result.distance_saved_km,
|
| 488 |
+
"distance_saved_pct": result.distance_saved_pct,
|
| 489 |
+
"time_saved_minutes": round(naive_time - result.total_time_minutes, 1),
|
| 490 |
+
"co2_saved_kg": round((naive_dist - result.total_distance_km) * 0.21, 2),
|
| 491 |
+
"time_windows_respected": result.time_windows_respected,
|
| 492 |
+
},
|
| 493 |
+
))
|
| 494 |
+
|
| 495 |
+
return comparisons
|
| 496 |
+
|
| 497 |
+
|
| 498 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 499 |
+
# DBSCAN CLUSTERING (DISCOVERS K AUTOMATICALLY)
|
| 500 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 501 |
+
|
| 502 |
+
def cluster_packages_dbscan(
|
| 503 |
+
packages: List[Dict[str, Any]],
|
| 504 |
+
eps_km: float = 5.0,
|
| 505 |
+
min_samples: int = 2,
|
| 506 |
+
max_cluster_size: int = 30,
|
| 507 |
+
) -> List[List[Dict[str, Any]]]:
|
| 508 |
+
"""
|
| 509 |
+
DBSCAN-based clustering that discovers K automatically.
|
| 510 |
+
Handles arbitrary cluster shapes (unlike KMeans).
|
| 511 |
+
|
| 512 |
+
Fixes: Noise points (-1 label) are merged into nearest cluster.
|
| 513 |
+
|
| 514 |
+
Args:
|
| 515 |
+
packages: List of package dicts with latitude, longitude
|
| 516 |
+
eps_km: Max distance between points in same cluster (km)
|
| 517 |
+
min_samples: Min points to form a cluster
|
| 518 |
+
max_cluster_size: Split clusters exceeding this
|
| 519 |
+
|
| 520 |
+
Returns:
|
| 521 |
+
List of clusters (each cluster is a list of package dicts)
|
| 522 |
+
"""
|
| 523 |
+
import numpy as np
|
| 524 |
+
from sklearn.cluster import DBSCAN
|
| 525 |
+
from sklearn.metrics.pairwise import haversine_distances
|
| 526 |
+
|
| 527 |
+
if not packages:
|
| 528 |
+
return []
|
| 529 |
+
|
| 530 |
+
if len(packages) <= min_samples:
|
| 531 |
+
return [packages]
|
| 532 |
+
|
| 533 |
+
# Convert to radians for haversine
|
| 534 |
+
coords_rad = np.array([
|
| 535 |
+
[math.radians(p["latitude"]), math.radians(p["longitude"])]
|
| 536 |
+
for p in packages
|
| 537 |
+
])
|
| 538 |
+
|
| 539 |
+
# eps in radians (eps_km / Earth radius)
|
| 540 |
+
eps_rad = eps_km / 6371.0
|
| 541 |
+
|
| 542 |
+
# Run DBSCAN
|
| 543 |
+
db = DBSCAN(eps=eps_rad, min_samples=min_samples, metric='haversine')
|
| 544 |
+
labels = db.fit_predict(coords_rad)
|
| 545 |
+
|
| 546 |
+
# Group by cluster
|
| 547 |
+
clusters: Dict[int, List[int]] = {}
|
| 548 |
+
noise_indices: List[int] = []
|
| 549 |
+
|
| 550 |
+
for idx, label in enumerate(labels):
|
| 551 |
+
if label == -1:
|
| 552 |
+
noise_indices.append(idx)
|
| 553 |
+
else:
|
| 554 |
+
if label not in clusters:
|
| 555 |
+
clusters[label] = []
|
| 556 |
+
clusters[label].append(idx)
|
| 557 |
+
|
| 558 |
+
# FIX: Merge noise points into nearest cluster
|
| 559 |
+
if noise_indices and clusters:
|
| 560 |
+
# Compute cluster centroids
|
| 561 |
+
cluster_centroids = {}
|
| 562 |
+
for label, indices in clusters.items():
|
| 563 |
+
lats = [packages[i]["latitude"] for i in indices]
|
| 564 |
+
lngs = [packages[i]["longitude"] for i in indices]
|
| 565 |
+
cluster_centroids[label] = (sum(lats)/len(lats), sum(lngs)/len(lngs))
|
| 566 |
+
|
| 567 |
+
for noise_idx in noise_indices:
|
| 568 |
+
pkg = packages[noise_idx]
|
| 569 |
+
# Find nearest cluster
|
| 570 |
+
nearest_label = min(
|
| 571 |
+
cluster_centroids.keys(),
|
| 572 |
+
key=lambda l: haversine_km(
|
| 573 |
+
pkg["latitude"], pkg["longitude"],
|
| 574 |
+
cluster_centroids[l][0], cluster_centroids[l][1]
|
| 575 |
+
)
|
| 576 |
+
)
|
| 577 |
+
clusters[nearest_label].append(noise_idx)
|
| 578 |
+
elif noise_indices and not clusters:
|
| 579 |
+
# All points are noise β treat as one cluster
|
| 580 |
+
clusters[0] = noise_indices
|
| 581 |
+
|
| 582 |
+
# Split oversized clusters
|
| 583 |
+
final_clusters = []
|
| 584 |
+
for label, indices in clusters.items():
|
| 585 |
+
if len(indices) <= max_cluster_size:
|
| 586 |
+
final_clusters.append([packages[i] for i in indices])
|
| 587 |
+
else:
|
| 588 |
+
# Split using KMeans
|
| 589 |
+
from sklearn.cluster import KMeans
|
| 590 |
+
sub_coords = np.array([[packages[i]["latitude"], packages[i]["longitude"]] for i in indices])
|
| 591 |
+
n_sub = max(2, len(indices) // max_cluster_size + 1)
|
| 592 |
+
km = KMeans(n_clusters=n_sub, random_state=42, n_init=5)
|
| 593 |
+
sub_labels = km.fit_predict(sub_coords)
|
| 594 |
+
for sl in range(n_sub):
|
| 595 |
+
sub_indices = [indices[j] for j in range(len(indices)) if sub_labels[j] == sl]
|
| 596 |
+
if sub_indices:
|
| 597 |
+
final_clusters.append([packages[i] for i in sub_indices])
|
| 598 |
+
|
| 599 |
+
return final_clusters
|
| 600 |
+
|
| 601 |
+
|
| 602 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 603 |
+
# HELPERS
|
| 604 |
+
# βββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββββ
|
| 605 |
+
|
| 606 |
+
def _compute_route_distance(stops: List[Stop], order: List[int], depot_lat: float, depot_lng: float) -> float:
|
| 607 |
+
"""Compute total route distance for a given stop order."""
|
| 608 |
+
if not order:
|
| 609 |
+
return 0.0
|
| 610 |
+
total = haversine_km(depot_lat, depot_lng, stops[order[0]].lat, stops[order[0]].lng)
|
| 611 |
+
for i in range(len(order) - 1):
|
| 612 |
+
total += haversine_km(stops[order[i]].lat, stops[order[i]].lng, stops[order[i+1]].lat, stops[order[i+1]].lng)
|
| 613 |
+
total += haversine_km(stops[order[-1]].lat, stops[order[-1]].lng, depot_lat, depot_lng)
|
| 614 |
+
return total
|
| 615 |
+
|
| 616 |
+
|
| 617 |
+
def _check_time_windows(stops: List[Stop], order: List[int], depot_lat: float, depot_lng: float, speed_kmh: float) -> bool:
|
| 618 |
+
"""Check if all time windows are respected in the given order."""
|
| 619 |
+
if not order:
|
| 620 |
+
return True
|
| 621 |
+
|
| 622 |
+
current_time = 0.0 # Minutes from departure
|
| 623 |
+
current_lat, current_lng = depot_lat, depot_lng
|
| 624 |
+
|
| 625 |
+
for idx in order:
|
| 626 |
+
stop = stops[idx]
|
| 627 |
+
# Travel time to this stop
|
| 628 |
+
dist = haversine_km(current_lat, current_lng, stop.lat, stop.lng)
|
| 629 |
+
travel_time = (dist / speed_kmh) * 60
|
| 630 |
+
current_time += travel_time
|
| 631 |
+
|
| 632 |
+
# Check time window
|
| 633 |
+
if stop.time_window_end is not None and current_time > stop.time_window_end:
|
| 634 |
+
return False
|
| 635 |
+
|
| 636 |
+
# Wait if arrived too early
|
| 637 |
+
if stop.time_window_start is not None and current_time < stop.time_window_start:
|
| 638 |
+
current_time = stop.time_window_start
|
| 639 |
+
|
| 640 |
+
# Service time
|
| 641 |
+
current_time += stop.service_time_min
|
| 642 |
+
current_lat, current_lng = stop.lat, stop.lng
|
| 643 |
+
|
| 644 |
+
return True
|