// Copyright 2010-2025 Google LLC // Licensed under the Apache License, Version 2.0 (the "License"); // you may not use this file except in compliance with the License. // You may obtain a copy of the License at // // http://www.apache.org/licenses/LICENSE-2.0 // // Unless required by applicable law or agreed to in writing, software // distributed under the License is distributed on an "AS IS" BASIS, // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. // See the License for the specific language governing permissions and // limitations under the License. // [START program] // [START import] using System; using System.Collections.Generic; using Google.OrTools.ConstraintSolver; using Google.Protobuf.WellKnownTypes; // Duration // [END import] /// /// Minimal Vehicle Routing Problem (VRP). /// The search stop after improving the solution 15 times or after 5 seconds. /// public class VrpSolutionCallback { // [START data_model] class DataModel { public long[,] DistanceMatrix = { { 0, 548, 776, 696, 582, 274, 502, 194, 308, 194, 536, 502, 388, 354, 468, 776, 662 }, { 548, 0, 684, 308, 194, 502, 730, 354, 696, 742, 1084, 594, 480, 674, 1016, 868, 1210 }, { 776, 684, 0, 992, 878, 502, 274, 810, 468, 742, 400, 1278, 1164, 1130, 788, 1552, 754 }, { 696, 308, 992, 0, 114, 650, 878, 502, 844, 890, 1232, 514, 628, 822, 1164, 560, 1358 }, { 582, 194, 878, 114, 0, 536, 764, 388, 730, 776, 1118, 400, 514, 708, 1050, 674, 1244 }, { 274, 502, 502, 650, 536, 0, 228, 308, 194, 240, 582, 776, 662, 628, 514, 1050, 708 }, { 502, 730, 274, 878, 764, 228, 0, 536, 194, 468, 354, 1004, 890, 856, 514, 1278, 480 }, { 194, 354, 810, 502, 388, 308, 536, 0, 342, 388, 730, 468, 354, 320, 662, 742, 856 }, { 308, 696, 468, 844, 730, 194, 194, 342, 0, 274, 388, 810, 696, 662, 320, 1084, 514 }, { 194, 742, 742, 890, 776, 240, 468, 388, 274, 0, 342, 536, 422, 388, 274, 810, 468 }, { 536, 1084, 400, 1232, 1118, 582, 354, 730, 388, 342, 0, 878, 764, 730, 388, 1152, 354 }, { 502, 594, 1278, 514, 400, 776, 1004, 468, 810, 536, 878, 0, 114, 308, 650, 274, 844 }, { 388, 480, 1164, 628, 514, 662, 890, 354, 696, 422, 764, 114, 0, 194, 536, 388, 730 }, { 354, 674, 1130, 822, 708, 628, 856, 320, 662, 388, 730, 308, 194, 0, 342, 422, 536 }, { 468, 1016, 788, 1164, 1050, 514, 514, 662, 320, 274, 388, 650, 536, 342, 0, 764, 194 }, { 776, 868, 1552, 560, 674, 1050, 1278, 742, 1084, 810, 1152, 274, 388, 422, 764, 0, 798 }, { 662, 1210, 754, 1358, 1244, 708, 480, 856, 514, 468, 354, 844, 730, 536, 194, 798, 0 } }; public int VehicleNumber = 4; public int Depot = 0; }; // [END data_model] // [START solution_callback_printer] /// /// Print the solution. /// static void printSolution(ref RoutingIndexManager routingManager, ref RoutingModel routingModel) { Console.WriteLine($"Solution objective: {routingModel.CostVar().Value()}:"); // Inspect solution. long totalDistance = 0; for (int i = 0; i < routingManager.GetNumberOfVehicles(); ++i) { Console.WriteLine("################"); Console.WriteLine($"Route for Vehicle {i}:"); long routeDistance = 0; long index = routingModel.Start(i); if (routingModel.IsEnd(routingModel.NextVar(index).Value())) { continue; } while (routingModel.IsEnd(index) == false) { Console.Write($" {routingManager.IndexToNode(index)} ->"); long previousIndex = index; index = routingModel.NextVar(index).Value(); routeDistance += routingModel.GetArcCostForVehicle(previousIndex, index, 0); } Console.WriteLine($" {routingManager.IndexToNode(index)}"); Console.WriteLine($"Distance of the route: {routeDistance}m"); totalDistance += routeDistance; } Console.WriteLine($"Total Distance of all routes: {totalDistance}m"); } // [END solution_callback_printer] // [START solution_callback] class SolutionCallback { public long[] objectives; private RoutingIndexManager routingManager; private RoutingModel routingModel; private long maxSolution; private long counter; public SolutionCallback(ref RoutingIndexManager manager, ref RoutingModel routing, in long limit) { routingManager = manager; routingModel = routing; ; maxSolution = limit; counter = 0; objectives = new long[maxSolution]; } public void Run() { long objective = routingModel.CostVar().Value(); if (counter == 0 || objective < objectives[counter - 1]) { objectives[counter] = objective; printSolution(ref routingManager, ref routingModel); counter++; } if (counter >= maxSolution) { routingModel.solver().FinishCurrentSearch(); } } }; // [END solution_callback] public static void Main(String[] args) { // Instantiate the data problem. // [START data] DataModel data = new DataModel(); // [END data] // Create Routing Index Manager // [START index_manager] RoutingIndexManager routingManager = new RoutingIndexManager(data.DistanceMatrix.GetLength(0), data.VehicleNumber, data.Depot); // [END index_manager] // Create Routing Model. // [START routing_model] RoutingModel routingModel = new RoutingModel(routingManager); // [END routing_model] // Create and register a transit callback. // [START transit_callback] int transitCallbackIndex = routingModel.RegisterTransitCallback((long fromIndex, long toIndex) => { // Convert from routing variable Index to // distance matrix NodeIndex. var fromNode = routingManager.IndexToNode(fromIndex); var toNode = routingManager.IndexToNode(toIndex); return data.DistanceMatrix[fromNode, toNode]; }); // [END transit_callback] // Define cost of each arc. // [START arc_cost] routingModel.SetArcCostEvaluatorOfAllVehicles(transitCallbackIndex); // [END arc_cost] // Add Distance constraint. // [START distance_constraint] routingModel.AddDimension(transitCallbackIndex, 0, // no slack 3000, // vehicle maximum travel distance true, // start cumul to zero "Distance"); RoutingDimension distanceDimension = routingModel.GetMutableDimension("Distance"); distanceDimension.SetGlobalSpanCostCoefficient(100); // [END distance_constraint] // Attach a solution callback. // [START attach_callback] SolutionCallback solutionCallback = new SolutionCallback(ref routingManager, ref routingModel, /*max_solution=*/15); routingModel.AddAtSolutionCallback(solutionCallback.Run); // [END attach_callback] // Setting first solution heuristic. // [START parameters] RoutingSearchParameters searchParameters = operations_research_constraint_solver.DefaultRoutingSearchParameters(); searchParameters.FirstSolutionStrategy = FirstSolutionStrategy.Types.Value.PathCheapestArc; searchParameters.LocalSearchMetaheuristic = LocalSearchMetaheuristic.Types.Value.GuidedLocalSearch; searchParameters.TimeLimit = new Duration { Seconds = 5 }; // [END parameters] // Solve the problem. // [START solve] Assignment solution = routingModel.SolveWithParameters(searchParameters); // [END solve] // Print solution on console. // [START print_solution] if (solution != null) { Console.WriteLine($"Best objective: {solutionCallback.objectives[^1]}"); } else { Console.WriteLine("No solution found !"); } // [END print_solution] } } // [END program]