// 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. // Capacitated Vehicle Routing Problem with Time Windows and refueling // constraints. // This is an extension to the model in cvrptw.cc so refer to that file for // more information on the common part of the model. The model implemented here // takes into account refueling constraints using a specific dimension: vehicles // must visit certain nodes (refueling nodes) before the quantity of fuel // reaches zero. Fuel consumption is proportional to the distance traveled. #include #include "examples/cpp/cvrptw_lib.h" #include "google/protobuf/text_format.h" #include "ortools/base/commandlineflags.h" #include "ortools/base/integral_types.h" #include "ortools/base/logging.h" #include "ortools/base/random.h" #include "ortools/constraint_solver/routing.h" #include "ortools/constraint_solver/routing_index_manager.h" #include "ortools/constraint_solver/routing_parameters.h" #include "ortools/constraint_solver/routing_parameters.pb.h" using operations_research::ACMRandom; using operations_research::Assignment; using operations_research::DefaultRoutingSearchParameters; using operations_research::GetSeed; using operations_research::LocationContainer; using operations_research::RandomDemand; using operations_research::RoutingDimension; using operations_research::RoutingIndexManager; using operations_research::RoutingModel; using operations_research::RoutingNodeIndex; using operations_research::RoutingSearchParameters; using operations_research::ServiceTimePlusTransition; DEFINE_int32(vrp_orders, 100, "Nodes in the problem."); DEFINE_int32(vrp_vehicles, 20, "Size of Traveling Salesman Problem instance."); DEFINE_bool(vrp_use_deterministic_random_seed, false, "Use deterministic random seeds."); DEFINE_string(routing_search_parameters, "", "Text proto RoutingSearchParameters (possibly partial) that will " "override the DefaultRoutingSearchParameters()"); const char* kTime = "Time"; const char* kCapacity = "Capacity"; const char* kFuel = "Fuel"; // Returns true if node is a refueling node (based on node / refuel node ratio). bool IsRefuelNode(int64 node) { const int64 kRefuelNodeRatio = 10; return (node % kRefuelNodeRatio == 0); } int main(int argc, char** argv) { gflags::ParseCommandLineFlags(&argc, &argv, true); CHECK_LT(0, FLAGS_vrp_orders) << "Specify an instance size greater than 0."; CHECK_LT(0, FLAGS_vrp_vehicles) << "Specify a non-null vehicle fleet size."; // VRP of size FLAGS_vrp_size. // Nodes are indexed from 0 to FLAGS_vrp_orders, the starts and ends of // the routes are at node 0. const RoutingIndexManager::NodeIndex kDepot(0); RoutingIndexManager manager(FLAGS_vrp_orders + 1, FLAGS_vrp_vehicles, kDepot); RoutingModel routing(manager); // Setting up locations. const int64 kXMax = 100000; const int64 kYMax = 100000; const int64 kSpeed = 10; LocationContainer locations(kSpeed, FLAGS_vrp_use_deterministic_random_seed); for (int location = 0; location <= FLAGS_vrp_orders; ++location) { locations.AddRandomLocation(kXMax, kYMax); } // Setting the cost function. const int vehicle_cost = routing.RegisterTransitCallback([&locations, &manager](int64 i, int64 j) { return locations.ManhattanDistance(manager.IndexToNode(i), manager.IndexToNode(j)); }); routing.SetArcCostEvaluatorOfAllVehicles(vehicle_cost); // Adding capacity dimension constraints. const int64 kVehicleCapacity = 40; const int64 kNullCapacitySlack = 0; RandomDemand demand(manager.num_nodes(), kDepot, FLAGS_vrp_use_deterministic_random_seed); demand.Initialize(); routing.AddDimension( routing.RegisterTransitCallback([&demand, &manager](int64 i, int64 j) { return demand.Demand(manager.IndexToNode(i), manager.IndexToNode(j)); }), kNullCapacitySlack, kVehicleCapacity, /*fix_start_cumul_to_zero=*/true, kCapacity); // Adding time dimension constraints. const int64 kTimePerDemandUnit = 300; const int64 kHorizon = 24 * 3600; ServiceTimePlusTransition time( kTimePerDemandUnit, [&demand](RoutingNodeIndex i, RoutingNodeIndex j) { return demand.Demand(i, j); }, [&locations](RoutingNodeIndex i, RoutingNodeIndex j) { return locations.ManhattanTime(i, j); }); routing.AddDimension( routing.RegisterTransitCallback([&time, &manager](int64 i, int64 j) { return time.Compute(manager.IndexToNode(i), manager.IndexToNode(j)); }), kHorizon, kHorizon, /*fix_start_cumul_to_zero=*/true, kTime); const RoutingDimension& time_dimension = routing.GetDimensionOrDie(kTime); // Adding time windows. ACMRandom randomizer(GetSeed(FLAGS_vrp_use_deterministic_random_seed)); const int64 kTWDuration = 5 * 3600; for (int order = 1; order < manager.num_nodes(); ++order) { if (!IsRefuelNode(order)) { const int64 start = randomizer.Uniform(kHorizon - kTWDuration); time_dimension.CumulVar(order)->SetRange(start, start + kTWDuration); } } // Adding fuel dimension. This dimension consumes a quantity equal to the // distance traveled. Only refuel nodes can make the quantity of dimension // increase by letting slack variable replenish the fuel. const int64 kFuelCapacity = kXMax + kYMax; routing.AddDimension( routing.RegisterTransitCallback([&locations, &manager](int64 i, int64 j) { return locations.NegManhattanDistance(manager.IndexToNode(i), manager.IndexToNode(j)); }), kFuelCapacity, kFuelCapacity, /*fix_start_cumul_to_zero=*/false, kFuel); const RoutingDimension& fuel_dimension = routing.GetDimensionOrDie(kFuel); for (int order = 0; order < routing.Size(); ++order) { // Only let slack free for refueling nodes. if (!IsRefuelNode(order) || routing.IsStart(order)) { fuel_dimension.SlackVar(order)->SetValue(0); } // Needed to instantiate fuel quantity at each node. routing.AddVariableMinimizedByFinalizer(fuel_dimension.CumulVar(order)); } // Adding penalty costs to allow skipping orders. const int64 kPenalty = 100000; const RoutingIndexManager::NodeIndex kFirstNodeAfterDepot(1); for (RoutingIndexManager::NodeIndex order = kFirstNodeAfterDepot; order < routing.nodes(); ++order) { std::vector orders(1, manager.NodeToIndex(order)); routing.AddDisjunction(orders, kPenalty); } // Solve, returns a solution if any (owned by RoutingModel). RoutingSearchParameters parameters = DefaultRoutingSearchParameters(); CHECK(google::protobuf::TextFormat::MergeFromString( FLAGS_routing_search_parameters, ¶meters)); const Assignment* solution = routing.SolveWithParameters(parameters); if (solution != nullptr) { DisplayPlan(manager, routing, *solution, /*use_same_vehicle_costs=*/false, /*max_nodes_per_group=*/0, /*same_vehicle_cost=*/0, routing.GetDimensionOrDie(kCapacity), routing.GetDimensionOrDie(kTime)); } else { LOG(INFO) << "No solution found."; } return EXIT_SUCCESS; }