Google OR-Tools: vrp_starts_ends.cc

Simple VRP example.

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16#include <algorithm>

17#include <cstdint>

18#include <cstdlib>

19#include <sstream>

20#include <vector>

21

28

29

31

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

71 const std::vector<RoutingIndexManager::NodeIndex> starts{

72 RoutingIndexManager::NodeIndex{1},

73 RoutingIndexManager::NodeIndex{2},

74 RoutingIndexManager::NodeIndex{15},

75 RoutingIndexManager::NodeIndex{16},

76 };

77 const std::vector<RoutingIndexManager::NodeIndex> ends{

78 RoutingIndexManager::NodeIndex{0},

79 RoutingIndexManager::NodeIndex{0},

80 RoutingIndexManager::NodeIndex{0},

81 RoutingIndexManager::NodeIndex{0},

82 };

83

84};

85

86

92

93void PrintSolution(const DataModel& data, const RoutingIndexManager& manager,

94 const RoutingModel& routing, const Assignment& solution) {

95 int64_t max_route_distance{0};

96 for (int vehicle_id = 0; vehicle_id < data.num_vehicles; ++vehicle_id) {

97 if (!routing.IsVehicleUsed(solution, vehicle_id)) {

98 continue;

99 }

100 int64_t index = routing.Start(vehicle_id);

101 LOG(INFO) << "Route for Vehicle " << vehicle_id << ":";

102 int64_t route_distance{0};

103 std::stringstream route;

104 while (!routing.IsEnd(index)) {

105 route << manager.IndexToNode(index).value() << " -> ";

106 const int64_t previous_index = index;

107 index = solution.Value(routing.NextVar(index));

108 route_distance += routing.GetArcCostForVehicle(previous_index, index,

109 int64_t{vehicle_id});

110 }

111 LOG(INFO) << route.str() << manager.IndexToNode(index).value();

112 LOG(INFO) << "Distance of the route: " << route_distance << "m";

113 max_route_distance = std::max(route_distance, max_route_distance);

114 }

115 LOG(INFO) << "Maximum of the route distances: " << max_route_distance << "m";

116 LOG(INFO) << "";

117 LOG(INFO) << "Problem solved in " << routing.solver()->wall_time() << "ms";

118}

119

120

121void VrpStartsEnds() {

122

123

124 DataModel data;

125

126

127

128

129 RoutingIndexManager manager(data.distance_matrix.size(), data.num_vehicles,

130 data.starts, data.ends);

131

132

133

134

135 RoutingModel routing(manager);

136

137

138

139

140 const int transit_callback_index = routing.RegisterTransitCallback(

141 [&data, &manager](const int64_t from_index,

142 const int64_t to_index) -> int64_t {

143

144 const int from_node = manager.IndexToNode(from_index).value();

145 const int to_node = manager.IndexToNode(to_index).value();

146 return data.distance_matrix[from_node][to_node];

147 });

148

149

150

151

152 routing.SetArcCostEvaluatorOfAllVehicles(transit_callback_index);

153

154

155

156

157 routing.AddDimension(transit_callback_index, 0, 2000,

158 true, "Distance");

159 routing.GetMutableDimension("Distance")->SetGlobalSpanCostCoefficient(100);

160

161

162

163

165 searchParameters.set_first_solution_strategy(

167

168

169

170

171 const Assignment* solution = routing.SolveWithParameters(searchParameters);

172

173

174

175

176 PrintSolution(data, manager, routing, *solution);

177

178}

179}

180

181int main(int , char* []) {

182 operations_research::VrpStartsEnds();

183 return EXIT_SUCCESS;

184}

185

static constexpr Value PATH_CHEAPEST_ARC

int main(int argc, char **argv)

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...