cvrptw_with_breaks.cc

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// Copyright 2010-2022 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 Breaks.
// A description of the Capacitated Vehicle Routing Problem with Time Windows
// can be found here:
// http://en.wikipedia.org/wiki/Vehicle_routing_problem.
// The variant which is tackled by this model includes a capacity dimension,
// time windows and optional orders, with a penalty cost if orders are not
// performed. For the sake of simplicty, orders are randomly located and
// distances are computed using the Manhattan distance. Distances are assumed
// to be in meters and times in seconds.
// This variant also includes vehicle breaks which must happen during the day
// with two alternate breaks schemes: either a long break in the middle of the
// day or two smaller ones which can be taken during a longer period of the day.
 
#include <cstdint>
#include <random>
#include <utility>
#include <vector>
 
#include "absl/random/random.h"
#include "absl/strings/str_cat.h"
#include "google/protobuf/text_format.h"
#include "ortools/base/commandlineflags.h"
#include "ortools/base/init_google.h"
#include "ortools/base/integral_types.h"
#include "ortools/base/logging.h"
#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"
#include "ortools/constraint_solver/routing_parameters.pb.h"
#include "ortools/routing/cvrptw_lib.h"
 
using operations_research::Assignment;
using operations_research::DefaultRoutingSearchParameters;
using operations_research::FirstSolutionStrategy;
using operations_research::GetSeed;
using operations_research::IntervalVar;
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;
using operations_research::Solver;
 
ABSL_FLAG(int, vrp_orders, 100, "Nodes in the problem.");
ABSL_FLAG(int, vrp_vehicles, 20,
          "Size of Traveling Salesman Problem instance.");
ABSL_FLAG(bool, vrp_use_deterministic_random_seed, false,
          "Use deterministic random seeds.");
ABSL_FLAG(std::string, routing_search_parameters, "",
          "Text proto RoutingSearchParameters (possibly partial) that will "
          "override the DefaultRoutingSearchParameters()");
 
const char* kTime = "Time";
const char* kCapacity = "Capacity";
 
int main(int argc, char** argv) {
  InitGoogle(argv[0], &argc, &argv, true);
  CHECK_LT(0, absl::GetFlag(FLAGS_vrp_orders))
      << "Specify an instance size greater than 0.";
  CHECK_LT(0, absl::GetFlag(FLAGS_vrp_vehicles))
      << "Specify a non-null vehicle fleet size.";
  // VRP of size absl::GetFlag(FLAGS_vrp_size).
  // Nodes are indexed from 0 to absl::GetFlag(FLAGS_vrp_orders), the starts and
  // ends of the routes are at node 0.
  const RoutingIndexManager::NodeIndex kDepot(0);
  RoutingIndexManager manager(absl::GetFlag(FLAGS_vrp_orders) + 1,
                              absl::GetFlag(FLAGS_vrp_vehicles), kDepot);
  RoutingModel routing(manager);
  RoutingSearchParameters parameters = DefaultRoutingSearchParameters();
  CHECK(google::protobuf::TextFormat::MergeFromString(
      absl::GetFlag(FLAGS_routing_search_parameters), &parameters));
  parameters.set_first_solution_strategy(
      FirstSolutionStrategy::PARALLEL_CHEAPEST_INSERTION);
 
  // Setting up locations.
  const int64_t kXMax = 100000;
  const int64_t kYMax = 100000;
  const int64_t kSpeed = 10;
  LocationContainer locations(
      kSpeed, absl::GetFlag(FLAGS_vrp_use_deterministic_random_seed));
  for (int location = 0; location <= absl::GetFlag(FLAGS_vrp_orders);
       ++location) {
    locations.AddRandomLocation(kXMax, kYMax);
  }
 
  // Setting the cost function.
  const int vehicle_cost = routing.RegisterTransitCallback(
      [&locations, &manager](int64_t i, int64_t j) {
        return locations.ManhattanDistance(manager.IndexToNode(i),
                                           manager.IndexToNode(j));
      });
  routing.SetArcCostEvaluatorOfAllVehicles(vehicle_cost);
 
  // Adding capacity dimension constraints.
  const int64_t kVehicleCapacity = 40;
  const int64_t kNullCapacitySlack = 0;
  RandomDemand demand(manager.num_nodes(), kDepot,
                      absl::GetFlag(FLAGS_vrp_use_deterministic_random_seed));
  demand.Initialize();
  routing.AddDimension(routing.RegisterTransitCallback(
                           [&demand, &manager](int64_t i, int64_t 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_t kTimePerDemandUnit = 300;
  const int64_t 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_t i, int64_t j) {
        return time.Compute(manager.IndexToNode(i), manager.IndexToNode(j));
      }),
      kHorizon, kHorizon, /*fix_start_cumul_to_zero=*/false, kTime);
  RoutingDimension* const time_dimension = routing.GetMutableDimension(kTime);
 
  // Adding time windows.
  std::mt19937 randomizer(
      GetSeed(absl::GetFlag(FLAGS_vrp_use_deterministic_random_seed)));
  const int64_t kTWDuration = 5 * 3600;
  for (int order = 1; order < manager.num_nodes(); ++order) {
    const int64_t start =
        absl::Uniform<int32_t>(randomizer, 0, kHorizon - kTWDuration);
    time_dimension->CumulVar(order)->SetRange(start, start + kTWDuration);
    routing.AddToAssignment(time_dimension->SlackVar(order));
  }
 
  // Minimize time variables.
  for (int i = 0; i < routing.Size(); ++i) {
    routing.AddVariableMinimizedByFinalizer(time_dimension->CumulVar(i));
  }
  for (int j = 0; j < absl::GetFlag(FLAGS_vrp_vehicles); ++j) {
    routing.AddVariableMinimizedByFinalizer(
        time_dimension->CumulVar(routing.Start(j)));
    routing.AddVariableMinimizedByFinalizer(
        time_dimension->CumulVar(routing.End(j)));
  }
 
  // Adding vehicle breaks:
  // - 40min breaks between 11:00am and 1:00pm
  // or
  // - 2 x 30min breaks between 10:00am and 3:00pm, at least 1h apart
  // First, fill service time vector.
  std::vector<int64_t> service_times(routing.Size());
  for (int node = 0; node < routing.Size(); node++) {
    if (node >= routing.nodes()) {
      service_times[node] = 0;
    } else {
      const RoutingIndexManager::NodeIndex index(node);
      service_times[node] = kTimePerDemandUnit * demand.Demand(index, index);
    }
  }
  const std::vector<std::vector<int>> break_data = {
      {/*start_min*/ 11, /*start_max*/ 13, /*duration*/ 2400},
      {/*start_min*/ 10, /*start_max*/ 15, /*duration*/ 1800},
      {/*start_min*/ 10, /*start_max*/ 15, /*duration*/ 1800}};
  Solver* const solver = routing.solver();
  for (int vehicle = 0; vehicle < absl::GetFlag(FLAGS_vrp_vehicles);
       ++vehicle) {
    std::vector<IntervalVar*> breaks;
    for (int i = 0; i < break_data.size(); ++i) {
      IntervalVar* const break_interval = solver->MakeFixedDurationIntervalVar(
          break_data[i][0] * 3600, break_data[i][1] * 3600, break_data[i][2],
          true, absl::StrCat("Break ", i, " on vehicle ", vehicle));
      breaks.push_back(break_interval);
    }
    // break1 performed iff break2 performed
    solver->AddConstraint(solver->MakeEquality(breaks[1]->PerformedExpr(),
                                               breaks[2]->PerformedExpr()));
    // break2 start 1h after break1.
    solver->AddConstraint(solver->MakeIntervalVarRelationWithDelay(
        breaks[2], Solver::STARTS_AFTER_END, breaks[1], 3600));
    // break0 performed iff break2 unperformed
    solver->AddConstraint(solver->MakeNonEquality(breaks[0]->PerformedExpr(),
                                                  breaks[2]->PerformedExpr()));
 
    time_dimension->SetBreakIntervalsOfVehicle(std::move(breaks), vehicle,
                                               service_times);
  }
 
  // Adding penalty costs to allow skipping orders.
  const int64_t kPenalty = 10000000;
  const RoutingIndexManager::NodeIndex kFirstNodeAfterDepot(1);
  for (RoutingIndexManager::NodeIndex order = kFirstNodeAfterDepot;
       order < routing.nodes(); ++order) {
    std::vector<int64_t> orders(1, manager.NodeToIndex(order));
    routing.AddDisjunction(orders, kPenalty);
  }
 
  // Solve, returns a solution if any (owned by RoutingModel).
  const Assignment* solution = routing.SolveWithParameters(parameters);
  if (solution != nullptr) {
    LOG(INFO) << "Breaks: ";
    for (const auto& break_interval :
         solution->IntervalVarContainer().elements()) {
      if (break_interval.PerformedValue() == 1) {
        LOG(INFO) << break_interval.Var()->name() << " "
                  << break_interval.DebugString();
      } else {
        LOG(INFO) << break_interval.Var()->name() << " unperformed";
      }
    }
    DisplayPlan(manager, routing, *solution, false, 0, 0,
                routing.GetDimensionOrDie(kCapacity),
                routing.GetDimensionOrDie(kTime));
  } else {
    LOG(INFO) << "No solution found.";
  }
  return EXIT_SUCCESS;
}