// Copyright 2010-2018 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; // [END import] /// /// Minimal TSP. /// A description of the problem can be found here: /// http://en.wikipedia.org/wiki/Travelling_salesman_problem. /// public class TspCircuitBoard { // [START data_model] class DataModel { public int[,] Locations = { {288, 149}, {288, 129}, {270, 133}, {256, 141}, {256, 157}, {246, 157}, {236, 169}, {228, 169}, {228, 161}, {220, 169}, {212, 169}, {204, 169}, {196, 169}, {188, 169}, {196, 161}, {188, 145}, {172, 145}, {164, 145}, {156, 145}, {148, 145}, {140, 145}, {148, 169}, {164, 169}, {172, 169}, {156, 169}, {140, 169}, {132, 169}, {124, 169}, {116, 161}, {104, 153}, {104, 161}, {104, 169}, {90, 165}, {80, 157}, {64, 157}, {64, 165}, {56, 169}, {56, 161}, {56, 153}, {56, 145}, {56, 137}, {56, 129}, {56, 121}, {40, 121}, {40, 129}, {40, 137}, {40, 145}, {40, 153}, {40, 161}, {40, 169}, {32, 169}, {32, 161}, {32, 153}, {32, 145}, {32, 137}, {32, 129}, {32, 121}, {32, 113}, {40, 113}, {56, 113}, {56, 105}, {48, 99}, {40, 99}, {32, 97}, {32, 89}, {24, 89}, {16, 97}, {16, 109}, {8, 109}, {8, 97}, {8, 89}, {8, 81}, {8, 73}, {8, 65}, {8, 57}, {16, 57}, {8, 49}, {8, 41}, {24, 45}, {32, 41}, {32, 49}, {32, 57}, {32, 65}, {32, 73}, {32, 81}, {40, 83}, {40, 73}, {40, 63}, {40, 51}, {44, 43}, {44, 35}, {44, 27}, {32, 25}, {24, 25}, {16, 25}, {16, 17}, {24, 17}, {32, 17}, {44, 11}, {56, 9}, {56, 17}, {56, 25}, {56, 33}, {56, 41}, {64, 41}, {72, 41}, {72, 49}, {56, 49}, {48, 51}, {56, 57}, {56, 65}, {48, 63}, {48, 73}, {56, 73}, {56, 81}, {48, 83}, {56, 89}, {56, 97}, {104, 97}, {104, 105}, {104, 113}, {104, 121}, {104, 129}, {104, 137}, {104, 145}, {116, 145}, {124, 145}, {132, 145}, {132, 137}, {140, 137}, {148, 137}, {156, 137}, {164, 137}, {172, 125}, {172, 117}, {172, 109}, {172, 101}, {172, 93}, {172, 85}, {180, 85}, {180, 77}, {180, 69}, {180, 61}, {180, 53}, {172, 53}, {172, 61}, {172, 69}, {172, 77}, {164, 81}, {148, 85}, {124, 85}, {124, 93}, {124, 109}, {124, 125}, {124, 117}, {124, 101}, {104, 89}, {104, 81}, {104, 73}, {104, 65}, {104, 49}, {104, 41}, {104, 33}, {104, 25}, {104, 17}, {92, 9}, {80, 9}, {72, 9}, {64, 21}, {72, 25}, {80, 25}, {80, 25}, {80, 41}, {88, 49}, {104, 57}, {124, 69}, {124, 77}, {132, 81}, {140, 65}, {132, 61}, {124, 61}, {124, 53}, {124, 45}, {124, 37}, {124, 29}, {132, 21}, {124, 21}, {120, 9}, {128, 9}, {136, 9}, {148, 9}, {162, 9}, {156, 25}, {172, 21}, {180, 21}, {180, 29}, {172, 29}, {172, 37}, {172, 45}, {180, 45}, {180, 37}, {188, 41}, {196, 49}, {204, 57}, {212, 65}, {220, 73}, {228, 69}, {228, 77}, {236, 77}, {236, 69}, {236, 61}, {228, 61}, {228, 53}, {236, 53}, {236, 45}, {228, 45}, {228, 37}, {236, 37}, {236, 29}, {228, 29}, {228, 21}, {236, 21}, {252, 21}, {260, 29}, {260, 37}, {260, 45}, {260, 53}, {260, 61}, {260, 69}, {260, 77}, {276, 77}, {276, 69}, {276, 61}, {276, 53}, {284, 53}, {284, 61}, {284, 69}, {284, 77}, {284, 85}, {284, 93}, {284, 101}, {288, 109}, {280, 109}, {276, 101}, {276, 93}, {276, 85}, {268, 97}, {260, 109}, {252, 101}, {260, 93}, {260, 85}, {236, 85}, {228, 85}, {228, 93}, {236, 93}, {236, 101}, {228, 101}, {228, 109}, {228, 117}, {228, 125}, {220, 125}, {212, 117}, {204, 109}, {196, 101}, {188, 93}, {180, 93}, {180, 101}, {180, 109}, {180, 117}, {180, 125}, {196, 145}, {204, 145}, {212, 145}, {220, 145}, {228, 145}, {236, 145}, {246, 141}, {252, 125}, {260, 129}, {280, 133}, }; public int VehicleNumber = 1; public int Depot = 0; }; // [END data_model] // [START euclidean_distance] /// /// Euclidean distance implemented as a callback. It uses an array of /// positions and computes the Euclidean distance between the two /// positions of two different indices. /// static long[,] ComputeEuclideanDistanceMatrix(in int[,] locations) { // Calculate the distance matrix using Euclidean distance. int locationNumber = locations.GetLength(0); long[,] distanceMatrix = new long[locationNumber, locationNumber]; for (int fromNode = 0; fromNode < locationNumber; fromNode++) { for (int toNode = 0; toNode < locationNumber; toNode++) { if (fromNode == toNode) distanceMatrix[fromNode, toNode] = 0; else distanceMatrix[fromNode, toNode] = (long) Math.Sqrt( Math.Pow(locations[toNode, 0] - locations[fromNode, 0], 2) + Math.Pow(locations[toNode, 1] - locations[fromNode, 1], 2)); } } return distanceMatrix; } // [END euclidean_distance] // [START solution_printer] /// /// Print the solution. /// static void PrintSolution( in RoutingModel routing, in RoutingIndexManager manager, in Assignment solution) { Console.WriteLine("Objective: {0}", solution.ObjectiveValue()); // Inspect solution. Console.WriteLine("Route:"); long routeDistance = 0; var index = routing.Start(0); while (routing.IsEnd(index) == false) { Console.Write("{0} -> ", manager.IndexToNode((int)index)); var previousIndex = index; index = solution.Value(routing.NextVar(index)); routeDistance += routing.GetArcCostForVehicle(previousIndex, index, 0); } Console.WriteLine("{0}", manager.IndexToNode((int)index)); Console.WriteLine("Route distance: {0}m", routeDistance); } // [END solution_printer] 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 manager = new RoutingIndexManager( data.Locations.GetLength(0), data.VehicleNumber, data.Depot); // [END index_manager] // Create Routing Model. // [START routing_model] RoutingModel routing = new RoutingModel(manager); // [END routing_model] // Define cost of each arc. // [START transit_callback] long[,] distanceMatrix = ComputeEuclideanDistanceMatrix(data.Locations); int transitCallbackIndex = routing.RegisterTransitCallback( (long fromIndex, long toIndex) => { // Convert from routing variable Index to distance matrix NodeIndex. var fromNode = manager.IndexToNode(fromIndex); var toNode = manager.IndexToNode(toIndex); return distanceMatrix[fromNode, toNode]; } ); // [END transit_callback] // [START arc_cost] routing.SetArcCostEvaluatorOfAllVehicles(transitCallbackIndex); // [END arc_cost] // Setting first solution heuristic. // [START parameters] RoutingSearchParameters searchParameters = operations_research_constraint_solver.DefaultRoutingSearchParameters(); searchParameters.FirstSolutionStrategy = FirstSolutionStrategy.Types.Value.PathCheapestArc; // [END parameters] // Solve the problem. // [START solve] Assignment solution = routing.SolveWithParameters(searchParameters); // [END solve] // Print solution on console. // [START print_solution] PrintSolution(routing, manager, solution); // [END print_solution] } } // [END program]