/** * Licensed to the Apache Software Foundation (ASF) under one or more * contributor license agreements. See the NOTICE file distributed with * this work for additional information regarding copyright ownership. * The ASF licenses this file to You 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 org.apache.mahout.ga.watchmaker.travellingsalesman; import java.util.Collection; import java.util.Iterator; import java.util.List; import com.google.common.collect.Lists; import org.uncommons.maths.combinatorics.PermutationGenerator; import org.uncommons.watchmaker.framework.FitnessEvaluator; /** * Naive brute-force solution to the travelling salesman problem. It would take about a day and a half to * brute-force the 15-city travelling salesman problem on a home computer using this implementation. However, * this is a not the best possible implementation that is guaranteed to find a the shortest route (for example * there is no branch-and-bound optimisation). * * <br> * The original code is from <b>the Watchmaker project</b> (https://watchmaker.dev.java.net/). */ public class BruteForceTravellingSalesman implements TravellingSalesmanStrategy { private final DistanceLookup distances; /** * @param distances * Information about the distances between cities. */ public BruteForceTravellingSalesman(DistanceLookup distances) { this.distances = distances; } @Override public String getDescription() { return "Brute Force"; } /** * To reduce the search space we will only consider routes that start and end at one city (whichever is * first in the collection). All other possible routes are equivalent to one of these routes since start * city is irrelevant in determining the shortest cycle. * * @param cities * The list of destinations, each of which must be visited once. * @param progressListener * Call-back for receiving the status of the algorithm as it progresses. May be null. * @return The shortest route that visits each of the specified cities once. */ @Override public List<String> calculateShortestRoute(Collection<String> cities, ProgressListener progressListener) { Iterator<String> iterator = cities.iterator(); String startCity = iterator.next(); Collection<String> destinations = Lists.newArrayListWithCapacity(cities.size() - 1); while (iterator.hasNext()) { destinations.add(iterator.next()); } FitnessEvaluator<List<String>> evaluator = new RouteEvaluator(distances); PermutationGenerator<String> generator = new PermutationGenerator<String>(destinations); long totalPermutations = generator.getTotalPermutations(); long count = 0; List<String> shortestRoute = null; double shortestDistance = Double.POSITIVE_INFINITY; List<String> currentRoute = Lists.newArrayListWithCapacity(cities.size()); while (generator.hasMore()) { List<String> route = generator.nextPermutationAsList(currentRoute); route.add(0, startCity); double distance = evaluator.getFitness(route, null); if (distance < shortestDistance) { shortestDistance = distance; shortestRoute = Lists.newArrayList(route); } ++count; if (count % 1000 == 0 && progressListener != null) { progressListener.updateProgress((double) count / totalPermutations * 100); } } if (progressListener != null) { progressListener.updateProgress(100); // Finished. } return shortestRoute; } }