Google OR-Tools v9.15
a fast and portable software suite for combinatorial optimization
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vrp_global_span.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 <algorithm>
17#include <cstdint>
18#include <cstdlib>
19#include <sstream>
20#include <vector>
21
28// [END import]
29
30namespace operations_research {
31// [START data_model]
32struct DataModel {
33 const std::vector<std::vector<int64_t>> distance_matrix{
34 {0, 548, 776, 696, 582, 274, 502, 194, 308, 194, 536, 502, 388, 354, 468,
35 776, 662},
36 {548, 0, 684, 308, 194, 502, 730, 354, 696, 742, 1084, 594, 480, 674,
37 1016, 868, 1210},
38 {776, 684, 0, 992, 878, 502, 274, 810, 468, 742, 400, 1278, 1164, 1130,
39 788, 1552, 754},
40 {696, 308, 992, 0, 114, 650, 878, 502, 844, 890, 1232, 514, 628, 822,
41 1164, 560, 1358},
42 {582, 194, 878, 114, 0, 536, 764, 388, 730, 776, 1118, 400, 514, 708,
43 1050, 674, 1244},
44 {274, 502, 502, 650, 536, 0, 228, 308, 194, 240, 582, 776, 662, 628, 514,
45 1050, 708},
46 {502, 730, 274, 878, 764, 228, 0, 536, 194, 468, 354, 1004, 890, 856, 514,
47 1278, 480},
48 {194, 354, 810, 502, 388, 308, 536, 0, 342, 388, 730, 468, 354, 320, 662,
49 742, 856},
50 {308, 696, 468, 844, 730, 194, 194, 342, 0, 274, 388, 810, 696, 662, 320,
51 1084, 514},
52 {194, 742, 742, 890, 776, 240, 468, 388, 274, 0, 342, 536, 422, 388, 274,
53 810, 468},
54 {536, 1084, 400, 1232, 1118, 582, 354, 730, 388, 342, 0, 878, 764, 730,
55 388, 1152, 354},
56 {502, 594, 1278, 514, 400, 776, 1004, 468, 810, 536, 878, 0, 114, 308,
57 650, 274, 844},
58 {388, 480, 1164, 628, 514, 662, 890, 354, 696, 422, 764, 114, 0, 194, 536,
59 388, 730},
60 {354, 674, 1130, 822, 708, 628, 856, 320, 662, 388, 730, 308, 194, 0, 342,
61 422, 536},
62 {468, 1016, 788, 1164, 1050, 514, 514, 662, 320, 274, 388, 650, 536, 342,
63 0, 764, 194},
64 {776, 868, 1552, 560, 674, 1050, 1278, 742, 1084, 810, 1152, 274, 388,
65 422, 764, 0, 798},
66 {662, 1210, 754, 1358, 1244, 708, 480, 856, 514, 468, 354, 844, 730, 536,
67 194, 798, 0},
68 };
69 const int num_vehicles = 4;
70 const RoutingIndexManager::NodeIndex depot{0};
71};
72// [END data_model]
73
79// [START solution_printer]
80void PrintSolution(const DataModel& data, const RoutingIndexManager& manager,
81 const RoutingModel& routing, const Assignment& solution) {
82 int64_t max_route_distance{0};
83 for (int vehicle_id = 0; vehicle_id < data.num_vehicles; ++vehicle_id) {
84 if (!routing.IsVehicleUsed(solution, vehicle_id)) {
85 continue;
86 }
87 int64_t index = routing.Start(vehicle_id);
88 LOG(INFO) << "Route for Vehicle " << vehicle_id << ":";
89 int64_t route_distance{0};
90 std::stringstream route;
91 while (!routing.IsEnd(index)) {
92 route << manager.IndexToNode(index).value() << " -> ";
93 const int64_t previous_index = index;
94 index = solution.Value(routing.NextVar(index));
95 route_distance += routing.GetArcCostForVehicle(previous_index, index,
96 int64_t{vehicle_id});
97 }
98 LOG(INFO) << route.str() << manager.IndexToNode(index).value();
99 LOG(INFO) << "Distance of the route: " << route_distance << "m";
100 max_route_distance = std::max(route_distance, max_route_distance);
101 }
102 LOG(INFO) << "Maximum of the route distances: " << max_route_distance << "m";
103 LOG(INFO) << "";
104 LOG(INFO) << "Problem solved in " << routing.solver()->wall_time() << "ms";
105}
106// [END solution_printer]
107
108void VrpGlobalSpan() {
109 // Instantiate the data problem.
110 // [START data]
111 DataModel data;
112 // [END data]
113
114 // Create Routing Index Manager
115 // [START index_manager]
116 RoutingIndexManager manager(data.distance_matrix.size(), data.num_vehicles,
117 data.depot);
118 // [END index_manager]
119
120 // Create Routing Model.
121 // [START routing_model]
122 RoutingModel routing(manager);
123 // [END routing_model]
124
125 // Create and register a transit callback.
126 // [START transit_callback]
127 const int transit_callback_index = routing.RegisterTransitCallback(
128 [&data, &manager](const int64_t from_index,
129 const int64_t to_index) -> int64_t {
130 // Convert from routing variable Index to distance matrix NodeIndex.
131 const int from_node = manager.IndexToNode(from_index).value();
132 const int to_node = manager.IndexToNode(to_index).value();
133 return data.distance_matrix[from_node][to_node];
134 });
135 // [END transit_callback]
136
137 // Define cost of each arc.
138 // [START arc_cost]
139 routing.SetArcCostEvaluatorOfAllVehicles(transit_callback_index);
140 // [END arc_cost]
141
142 // Add Distance constraint.
143 // [START distance_constraint]
144 routing.AddDimension(transit_callback_index, 0, 3000,
145 true, // start cumul to zero
146 "Distance");
147 routing.GetMutableDimension("Distance")->SetGlobalSpanCostCoefficient(100);
148 // [END distance_constraint]
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 if (solution != nullptr) {
165 PrintSolution(data, manager, routing, *solution);
166 } else {
167 LOG(INFO) << "No solution found.";
168 }
169 // [END print_solution]
170}
171} // namespace operations_research
172
173int main(int /*argc*/, char* /*argv*/[]) {
174 operations_research::VrpGlobalSpan();
175 return EXIT_SUCCESS;
176}
177// [END program]
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...