// 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] #include #include #include "ortools/constraint_solver/routing.h" #include "ortools/constraint_solver/routing_enums.pb.h" #include "ortools/constraint_solver/routing_index_manager.h" #include "ortools/constraint_solver/routing_parameters.h" // [END import] // [START program_part1] namespace operations_research { // [START data_model] struct DataModel { const std::vector> time_matrix{ {0, 6, 9, 8, 7, 3, 6, 2, 3, 2, 6, 6, 4, 4, 5, 9, 7}, {6, 0, 8, 3, 2, 6, 8, 4, 8, 8, 13, 7, 5, 8, 12, 10, 14}, {9, 8, 0, 11, 10, 6, 3, 9, 5, 8, 4, 15, 14, 13, 9, 18, 9}, {8, 3, 11, 0, 1, 7, 10, 6, 10, 10, 14, 6, 7, 9, 14, 6, 16}, {7, 2, 10, 1, 0, 6, 9, 4, 8, 9, 13, 4, 6, 8, 12, 8, 14}, {3, 6, 6, 7, 6, 0, 2, 3, 2, 2, 7, 9, 7, 7, 6, 12, 8}, {6, 8, 3, 10, 9, 2, 0, 6, 2, 5, 4, 12, 10, 10, 6, 15, 5}, {2, 4, 9, 6, 4, 3, 6, 0, 4, 4, 8, 5, 4, 3, 7, 8, 10}, {3, 8, 5, 10, 8, 2, 2, 4, 0, 3, 4, 9, 8, 7, 3, 13, 6}, {2, 8, 8, 10, 9, 2, 5, 4, 3, 0, 4, 6, 5, 4, 3, 9, 5}, {6, 13, 4, 14, 13, 7, 4, 8, 4, 4, 0, 10, 9, 8, 4, 13, 4}, {6, 7, 15, 6, 4, 9, 12, 5, 9, 6, 10, 0, 1, 3, 7, 3, 10}, {4, 5, 14, 7, 6, 7, 10, 4, 8, 5, 9, 1, 0, 2, 6, 4, 8}, {4, 8, 13, 9, 8, 7, 10, 3, 7, 4, 8, 3, 2, 0, 4, 5, 6}, {5, 12, 9, 14, 12, 6, 6, 7, 3, 3, 4, 7, 6, 4, 0, 9, 2}, {9, 10, 18, 6, 8, 12, 15, 8, 13, 9, 13, 3, 4, 5, 9, 0, 9}, {7, 14, 9, 16, 14, 8, 5, 10, 6, 5, 4, 10, 8, 6, 2, 9, 0}, }; const std::vector> time_windows{ {0, 5}, // depot {7, 12}, // 1 {10, 15}, // 2 {16, 18}, // 3 {10, 13}, // 4 {0, 5}, // 5 {5, 10}, // 6 {0, 4}, // 7 {5, 10}, // 8 {0, 3}, // 9 {10, 16}, // 10 {10, 15}, // 11 {0, 5}, // 12 {5, 10}, // 13 {7, 8}, // 14 {10, 15}, // 15 {11, 15}, // 16 }; const int num_vehicles = 4; const RoutingIndexManager::NodeIndex depot{0}; }; // [END data_model] // [START solution_printer] //! @brief Print the solution. //! @param[in] data Data of the problem. //! @param[in] manager Index manager used. //! @param[in] routing Routing solver used. //! @param[in] solution Solution found by the solver. void PrintSolution(const DataModel& data, const RoutingIndexManager& manager, const RoutingModel& routing, const Assignment& solution) { const RoutingDimension& time_dimension = routing.GetDimensionOrDie("Time"); int64 total_time{0}; for (int vehicle_id = 0; vehicle_id < data.num_vehicles; ++vehicle_id) { int64 index = routing.Start(vehicle_id); LOG(INFO) << "Route for vehicle " << vehicle_id << ":"; std::ostringstream route; while (routing.IsEnd(index) == false) { auto time_var = time_dimension.CumulVar(index); route << manager.IndexToNode(index).value() << " Time(" << solution.Min(time_var) << ", " << solution.Max(time_var) << ") -> "; index = solution.Value(routing.NextVar(index)); } auto time_var = time_dimension.CumulVar(index); LOG(INFO) << route.str() << manager.IndexToNode(index).value() << " Time(" << solution.Min(time_var) << ", " << solution.Max(time_var) << ")"; LOG(INFO) << "Time of the route: " << solution.Min(time_var) << "min"; total_time += solution.Min(time_var); } LOG(INFO) << "Total time of all routes: " << total_time << "min"; LOG(INFO) << ""; LOG(INFO) << "Advanced usage:"; LOG(INFO) << "Problem solved in " << routing.solver()->wall_time() << "ms"; } // [END solution_printer] void VrpTimeWindows() { // Instantiate the data problem. // [START data] DataModel data; // [END data] // Create Routing Index Manager // [START index_manager] RoutingIndexManager manager(data.time_matrix.size(), data.num_vehicles, data.depot); // [END index_manager] // Create Routing Model. // [START routing_model] RoutingModel routing(manager); // [END routing_model] // Create and register a transit callback. // [START transit_callback] const int transit_callback_index = routing.RegisterTransitCallback( [&data, &manager](int64 from_index, int64 to_index) -> int64 { // Convert from routing variable Index to time matrix NodeIndex. auto from_node = manager.IndexToNode(from_index).value(); auto to_node = manager.IndexToNode(to_index).value(); return data.time_matrix[from_node][to_node]; }); // [END transit_callback] // Define cost of each arc. // [START arc_cost] routing.SetArcCostEvaluatorOfAllVehicles(transit_callback_index); // [END arc_cost] // Add Time constraint. // [START time_constraint] std::string time{"Time"}; routing.AddDimension(transit_callback_index, // transit callback index int64{30}, // allow waiting time int64{30}, // maximum time per vehicle false, // Don't force start cumul to zero time); const RoutingDimension& time_dimension = routing.GetDimensionOrDie(time); // Add time window constraints for each location except depot. for (int i = 1; i < data.time_windows.size(); ++i) { int64 index = manager.NodeToIndex(RoutingIndexManager::NodeIndex(i)); time_dimension.CumulVar(index)->SetRange(data.time_windows[i].first, data.time_windows[i].second); } // Add time window constraints for each vehicle start node. for (int i = 0; i < data.num_vehicles; ++i) { int64 index = routing.Start(i); time_dimension.CumulVar(index)->SetRange(data.time_windows[0].first, data.time_windows[0].second); } // [END time_constraint] // Instantiate route start and end times to produce feasible times. // [START depot_start_end_times] for (int i = 0; i < data.num_vehicles; ++i) { routing.AddVariableMinimizedByFinalizer( time_dimension.CumulVar(routing.Start(i))); routing.AddVariableMinimizedByFinalizer( time_dimension.CumulVar(routing.End(i))); } // [END depot_start_end_times] // Setting first solution heuristic. // [START parameters] RoutingSearchParameters searchParameters = DefaultRoutingSearchParameters(); searchParameters.set_first_solution_strategy( FirstSolutionStrategy::PATH_CHEAPEST_ARC); // [END parameters] // Solve the problem. // [START solve] const Assignment* solution = routing.SolveWithParameters(searchParameters); // [END solve] // Print solution on console. // [START print_solution] PrintSolution(data, manager, routing, *solution); // [END print_solution] } } // namespace operations_research int main(int argc, char** argv) { operations_research::VrpTimeWindows(); return EXIT_SUCCESS; } // [END program_part1] // [END program]