Google OR-Tools v9.15
a fast and portable software suite for combinatorial optimization
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vrp.cc

Simple VRP example.

1// Copyright 2010-2025 Google LLC
2// Licensed under the Apache License, Version 2.0 (the "License");
3// you may not use this file except in compliance with the License.
4// You may obtain a copy of the License at
5//
6// http://www.apache.org/licenses/LICENSE-2.0
7//
8// Unless required by applicable law or agreed to in writing, software
9// distributed under the License is distributed on an "AS IS" BASIS,
10// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
11// See the License for the specific language governing permissions and
12// limitations under the License.
13
14// [START program]
15// [START import]
16#include <cstdint>
17#include <cstdlib>
18#include <sstream>
19#include <vector>
20
27// [END import]
28
29namespace operations_research {
30// [START data_model]
31struct DataModel {
32 const std::vector<std::vector<int64_t>> distance_matrix{
33 {0, 548, 776, 696, 582, 274, 502, 194, 308, 194, 536, 502, 388, 354, 468,
34 776, 662},
35 {548, 0, 684, 308, 194, 502, 730, 354, 696, 742, 1084, 594, 480, 674,
36 1016, 868, 1210},
37 {776, 684, 0, 992, 878, 502, 274, 810, 468, 742, 400, 1278, 1164, 1130,
38 788, 1552, 754},
39 {696, 308, 992, 0, 114, 650, 878, 502, 844, 890, 1232, 514, 628, 822,
40 1164, 560, 1358},
41 {582, 194, 878, 114, 0, 536, 764, 388, 730, 776, 1118, 400, 514, 708,
42 1050, 674, 1244},
43 {274, 502, 502, 650, 536, 0, 228, 308, 194, 240, 582, 776, 662, 628, 514,
44 1050, 708},
45 {502, 730, 274, 878, 764, 228, 0, 536, 194, 468, 354, 1004, 890, 856, 514,
46 1278, 480},
47 {194, 354, 810, 502, 388, 308, 536, 0, 342, 388, 730, 468, 354, 320, 662,
48 742, 856},
49 {308, 696, 468, 844, 730, 194, 194, 342, 0, 274, 388, 810, 696, 662, 320,
50 1084, 514},
51 {194, 742, 742, 890, 776, 240, 468, 388, 274, 0, 342, 536, 422, 388, 274,
52 810, 468},
53 {536, 1084, 400, 1232, 1118, 582, 354, 730, 388, 342, 0, 878, 764, 730,
54 388, 1152, 354},
55 {502, 594, 1278, 514, 400, 776, 1004, 468, 810, 536, 878, 0, 114, 308,
56 650, 274, 844},
57 {388, 480, 1164, 628, 514, 662, 890, 354, 696, 422, 764, 114, 0, 194, 536,
58 388, 730},
59 {354, 674, 1130, 822, 708, 628, 856, 320, 662, 388, 730, 308, 194, 0, 342,
60 422, 536},
61 {468, 1016, 788, 1164, 1050, 514, 514, 662, 320, 274, 388, 650, 536, 342,
62 0, 764, 194},
63 {776, 868, 1552, 560, 674, 1050, 1278, 742, 1084, 810, 1152, 274, 388,
64 422, 764, 0, 798},
65 {662, 1210, 754, 1358, 1244, 708, 480, 856, 514, 468, 354, 844, 730, 536,
66 194, 798, 0},
67 };
68 const int num_vehicles = 4;
69 const RoutingIndexManager::NodeIndex depot{0};
70};
71// [END data_model]
72
73// [START solution_printer]
79void PrintSolution(const RoutingIndexManager& manager,
80 const RoutingModel& routing, const Assignment& solution) {
81 RoutingSearchStatus::Value status = routing.status();
82 LOG(INFO) << "Status: " << RoutingSearchStatus::Value_Name(status);
85 LOG(ERROR) << "No Solution found!";
86 return;
87 }
88 LOG(INFO) << "Objective: " << solution.ObjectiveValue();
89 int64_t total_distance{0};
90 for (int vehicle_id = 0; vehicle_id < manager.num_vehicles(); ++vehicle_id) {
91 if (!routing.IsVehicleUsed(solution, vehicle_id)) {
92 continue;
93 }
94 int64_t index = routing.Start(vehicle_id);
95 LOG(INFO) << "Route for Vehicle " << vehicle_id << ":";
96 int64_t distance{0};
97 std::stringstream route;
98 while (!routing.IsEnd(index)) {
99 route << manager.IndexToNode(index).value() << " -> ";
100 const int64_t previous_index = index;
101 index = solution.Value(routing.NextVar(index));
102 distance += routing.GetArcCostForVehicle(previous_index, index,
103 int64_t{vehicle_id});
104 }
105 LOG(INFO) << route.str() << manager.IndexToNode(index).value();
106 LOG(INFO) << "Distance of the route: " << distance << "m";
107 total_distance += distance;
108 }
109 LOG(INFO) << "Total distance of all routes: " << total_distance << "m";
110 LOG(INFO) << "";
111 LOG(INFO) << "Advanced usage:";
112 LOG(INFO) << "Problem solved in " << routing.solver()->wall_time() << "ms";
113}
114// [END solution_printer]
115
116void Vrp() {
117 // Instantiate the data problem.
118 // [START data]
119 DataModel data;
120 // [END data]
121
122 // Create Routing Index Manager
123 // [START index_manager]
124 RoutingIndexManager manager(data.distance_matrix.size(), data.num_vehicles,
125 data.depot);
126 // [END index_manager]
127
128 // Create Routing Model.
129 // [START routing_model]
130 RoutingModel routing(manager);
131 // [END routing_model]
132
133 // Create and register a transit callback.
134 // [START transit_callback]
135 const int transit_callback_index = routing.RegisterTransitCallback(
136 [&data, &manager](const int64_t from_index,
137 const int64_t to_index) -> int64_t {
138 // Convert from routing variable Index to distance matrix NodeIndex.
139 const int from_node = manager.IndexToNode(from_index).value();
140 const int to_node = manager.IndexToNode(to_index).value();
141 return data.distance_matrix[from_node][to_node];
142 });
143 // [END transit_callback]
144
145 // Define cost of each arc.
146 // [START arc_cost]
147 routing.SetArcCostEvaluatorOfAllVehicles(transit_callback_index);
148 // [END arc_cost]
149
150 // Setting first solution heuristic.
151 // [START parameters]
152 RoutingSearchParameters searchParameters = DefaultRoutingSearchParameters();
153 searchParameters.set_first_solution_strategy(
155 // [END parameters]
156
157 // Solve the problem.
158 // [START solve]
159 const Assignment* solution = routing.SolveWithParameters(searchParameters);
160 // [END solve]
161
162 // Print solution on console.
163 // [START print_solution]
164 PrintSolution(manager, routing, *solution);
165 // [END print_solution]
166}
167} // namespace operations_research
168
169int main(int /*argc*/, char* /*argv*/[]) {
170 operations_research::Vrp();
171 return EXIT_SUCCESS;
172}
173// [END program]
static const ::std::string & Value_Name(T value)
int main(int argc, char **argv)
Definition fz.cc:218
OR-Tools root namespace.
Select next search node to expand Select next item_i to add this new search node to the search Generate a new search node where item_i is not in the knapsack Check validity of this new partial solution(using propagators) - If valid
RoutingSearchParameters DefaultRoutingSearchParameters()
The vehicle routing library lets one model and solve generic vehicle routing problems ranging from th...