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CapacitatedVehicleRoutingProblemWithTimeWindows.java
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// Copyright 2010-2025 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.
package com.google.ortools.java;
import com.google.ortools.Loader;
import com.google.ortools.constraintsolver.Assignment;
import com.google.ortools.constraintsolver.FirstSolutionStrategy;
import com.google.ortools.constraintsolver.IntVar;
import com.google.ortools.constraintsolver.RoutingDimension;
import com.google.ortools.constraintsolver.RoutingIndexManager;
import com.google.ortools.constraintsolver.RoutingModel;
import com.google.ortools.constraintsolver.RoutingSearchParameters;
import com.google.ortools.constraintsolver.RoutingSearchStatus;
import com.google.ortools.constraintsolver.main;
import java.util.ArrayList;
import java.util.List;
import java.util.Random;
import java.util.function.LongBinaryOperator;
import java.util.function.LongUnaryOperator;
import java.util.logging.Logger;
/**
* Sample showing how to model and solve a capacitated vehicle routing problem with time windows
* using the swig-wrapped version of the vehicle routing library in
* //ortools/constraint_solver.
*/
public class CapacitatedVehicleRoutingProblemWithTimeWindows {
private static final Logger logger =
Logger.getLogger(CapacitatedVehicleRoutingProblemWithTimeWindows.class.getName());
// A pair class
static class Pair<K, V> {
final K first;
final V second;
public static <K, V> Pair<K, V> of(K element0, V element1) {
return new Pair<K, V>(element0, element1);
}
public Pair(K element0, V element1) {
this.first = element0;
this.second = element1;
}
}
static class DataModel {
// Locations representing either an order location or a vehicle route
// start/end.
public final List<Pair<Integer, Integer>> locations = new ArrayList<>();
// Quantity to be picked up for each order.
public final List<Integer> orderDemands = new ArrayList<>();
// Time window in which each order must be performed.
public final List<Pair<Integer, Integer>> orderTimeWindows = new ArrayList<>();
// Penalty cost "paid" for dropping an order.
public final List<Integer> orderPenalties = new ArrayList<>();
public final int numberOfVehicles = 20;
// Capacity of the vehicles.
public final int vehicleCapacity = 50;
public final int numberOfOrders = 100;
// Latest time at which each vehicle must end its tour.
public final List<Integer> vehicleEndTime = new ArrayList<>();
// Cost per unit of distance of each vehicle.
public final List<Integer> vehicleCostCoefficients = new ArrayList<>();
// Vehicle start and end indices. They have to be implemented as int[] due
// to the available SWIG-ed interface.
public int[] vehicleStarts;
public int[] vehicleEnds;
// Random number generator to produce data.
private final Random randomGenerator = new Random(0xBEEF);
/**
* Creates order data. Location of the order is random, as well as its demand (quantity), time
* window and penalty.
*
* @param xMax maximum x coordinate in which orders are located.
* @param yMax maximum y coordinate in which orders are located.
* @param demandMax maximum quantity of a demand.
* @param timeWindowMax maximum starting time of the order time window.
* @param timeWindowWidth duration of the order time window.
* @param penaltyMin minimum pernalty cost if order is dropped.
* @param penaltyMax maximum pernalty cost if order is dropped.
*/
private void buildOrders(int xMax, int yMax, int demandMax, int timeWindowMax,
int timeWindowWidth, int penaltyMin, int penaltyMax) {
for (int order = 0; order < numberOfOrders; ++order) {
locations.add(
Pair.of(randomGenerator.nextInt(xMax + 1), randomGenerator.nextInt(yMax + 1)));
orderDemands.add(randomGenerator.nextInt(demandMax + 1));
int timeWindowStart = randomGenerator.nextInt(timeWindowMax + 1);
orderTimeWindows.add(Pair.of(timeWindowStart, timeWindowStart + timeWindowWidth));
orderPenalties.add(randomGenerator.nextInt(penaltyMax - penaltyMin + 1) + penaltyMin);
}
}
/**
* Creates fleet data. Vehicle starting and ending locations are random, as well as vehicle
* costs per distance unit.
*
* @param xMax maximum x coordinate in which orders are located.
* @param yMax maximum y coordinate in which orders are located.
* @param endTime latest end time of a tour of a vehicle.
* @param costCoefficientMax maximum cost per distance unit of a vehicle (minimum is 1),
*/
private void buildFleet(int xMax, int yMax, int endTime, int costCoefficientMax) {
vehicleStarts = new int[numberOfVehicles];
vehicleEnds = new int[numberOfVehicles];
for (int vehicle = 0; vehicle < numberOfVehicles; ++vehicle) {
vehicleStarts[vehicle] = locations.size();
locations.add(
Pair.of(randomGenerator.nextInt(xMax + 1), randomGenerator.nextInt(yMax + 1)));
vehicleEnds[vehicle] = locations.size();
locations.add(
Pair.of(randomGenerator.nextInt(xMax + 1), randomGenerator.nextInt(yMax + 1)));
vehicleEndTime.add(endTime);
vehicleCostCoefficients.add(randomGenerator.nextInt(costCoefficientMax) + 1);
}
}
public DataModel() {
final int xMax = 20;
final int yMax = 20;
final int demandMax = 3;
final int timeWindowMax = 24 * 60;
final int timeWindowWidth = 4 * 60;
final int penaltyMin = 50;
final int penaltyMax = 100;
final int endTime = 24 * 60;
final int costCoefficientMax = 3;
buildOrders(xMax, yMax, demandMax, timeWindowMax, timeWindowWidth, penaltyMin, penaltyMax);
buildFleet(xMax, yMax, endTime, costCoefficientMax);
}
} // DataModel
/**
* Creates a Manhattan Distance evaluator with 'costCoefficient'.
*
* @param data Data Model.
* @param manager Node Index Manager.
* @param costCoefficient The coefficient to apply to the evaluator.
*/
private static LongBinaryOperator buildManhattanCallback(
DataModel data, RoutingIndexManager manager, int costCoefficient) {
return new LongBinaryOperator() {
@Override
public long applyAsLong(long fromIndex, long toIndex) {
try {
int fromNode = manager.indexToNode(fromIndex);
int toNode = manager.indexToNode(toIndex);
Pair<Integer, Integer> firstLocation = data.locations.get(fromNode);
Pair<Integer, Integer> secondLocation = data.locations.get(toNode);
return (long) costCoefficient
* (Math.abs(firstLocation.first - secondLocation.first)
+ Math.abs(firstLocation.second - secondLocation.second));
} catch (Throwable throwed) {
logger.warning(throwed.getMessage());
return 0;
}
}
};
}
// Print the solution.
static void printSolution(
DataModel data, RoutingModel model, RoutingIndexManager manager, Assignment solution) {
RoutingSearchStatus.Value status = model.status();
logger.info("Status: " + status);
if (status != RoutingSearchStatus.Value.ROUTING_OPTIMAL
&& status != RoutingSearchStatus.Value.ROUTING_SUCCESS) {
logger.warning("No solution found!");
return;
}
// Solution cost.
logger.info("Objective : " + solution.objectiveValue());
// Dropped orders
String dropped = "";
for (int order = 0; order < data.numberOfOrders; ++order) {
if (solution.value(model.nextVar(order)) == order) {
dropped += " " + order;
}
}
if (dropped.length() > 0) {
logger.info("Dropped orders:" + dropped);
}
// Routes
for (int vehicle = 0; vehicle < data.numberOfVehicles; ++vehicle) {
if (!model.isVehicleUsed(solution, vehicle)) {
continue;
}
long index = model.start(vehicle);
logger.info("Route for Vehicle " + vehicle + ":");
String route = "";
RoutingDimension capacityDimension = model.getMutableDimension("capacity");
RoutingDimension timeDimension = model.getMutableDimension("time");
while (!model.isEnd(index)) {
IntVar load = capacityDimension.cumulVar(index);
IntVar time = timeDimension.cumulVar(index);
long nodeIndex = manager.indexToNode(index);
route += nodeIndex + " Load(" + solution.value(load) + ")";
route += " Time(" + solution.min(time) + ", " + solution.max(time) + ") -> ";
index = solution.value(model.nextVar(index));
}
IntVar load = capacityDimension.cumulVar(index);
IntVar time = timeDimension.cumulVar(index);
long nodeIndex = manager.indexToNode(index);
route += nodeIndex + " Load(" + solution.value(load) + ")";
route += " Time(" + solution.min(time) + ", " + solution.max(time) + ")";
logger.info(route);
}
}
public static void main(String[] args) {
Loader.loadNativeLibraries();
// Instantiate the data problem.
final DataModel data = new DataModel();
// Create Routing Index Manager
RoutingIndexManager manager = new RoutingIndexManager(
data.locations.size(), data.numberOfVehicles, data.vehicleStarts, data.vehicleEnds);
RoutingModel model = new RoutingModel(manager);
// Setting up dimensions
final int bigNumber = 100000;
final LongBinaryOperator callback = buildManhattanCallback(data, manager, 1);
boolean unused = model.addDimension(
model.registerTransitCallback(callback), bigNumber, bigNumber, false, "time");
RoutingDimension timeDimension = model.getMutableDimension("time");
LongUnaryOperator demandCallback = new LongUnaryOperator() {
@Override
public long applyAsLong(long fromIndex) {
try {
int fromNode = manager.indexToNode(fromIndex);
if (fromNode < data.numberOfOrders) {
return data.orderDemands.get(fromNode);
}
return 0;
} catch (Throwable throwed) {
logger.warning(throwed.getMessage());
return 0;
}
}
};
unused = model.addDimension(model.registerUnaryTransitCallback(demandCallback), 0,
data.vehicleCapacity, true, "capacity");
// Setting up vehicles
LongBinaryOperator[] callbacks = new LongBinaryOperator[data.numberOfVehicles];
for (int vehicle = 0; vehicle < data.numberOfVehicles; ++vehicle) {
final int costCoefficient = data.vehicleCostCoefficients.get(vehicle);
callbacks[vehicle] = buildManhattanCallback(data, manager, costCoefficient);
final int vehicleCost = model.registerTransitCallback(callbacks[vehicle]);
model.setArcCostEvaluatorOfVehicle(vehicleCost, vehicle);
timeDimension.cumulVar(model.end(vehicle)).setMax(data.vehicleEndTime.get(vehicle));
}
// Setting up orders
for (int order = 0; order < data.numberOfOrders; ++order) {
timeDimension.cumulVar(order).setRange(
data.orderTimeWindows.get(order).first, data.orderTimeWindows.get(order).second);
long[] orderIndices = {manager.nodeToIndex(order)};
int unusedNested = model.addDisjunction(orderIndices, data.orderPenalties.get(order));
}
// Solving
RoutingSearchParameters parameters =
main.defaultRoutingSearchParameters()
.toBuilder()
.setFirstSolutionStrategy(FirstSolutionStrategy.Value.ALL_UNPERFORMED)
.build();
Assignment solution = model.solveWithParameters(parameters);
// Print solution on console.
printSolution(data, model, manager, solution);
}
private CapacitatedVehicleRoutingProblemWithTimeWindows() {}
}