renamed to MaximumIntegerWeightBipartiteAuctionMatching
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@@ -1,145 +0,0 @@
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import org.jgrapht.Graph;
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import org.jgrapht.GraphTests;
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import org.jgrapht.alg.interfaces.MatchingAlgorithm;
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import java.math.BigDecimal;
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import java.util.*;
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/*
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Maximum weight matching in bipartite graphs with strictly integer edge weights, found using the
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unscaled forward auction algorithm
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*/
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public class MaximumWeightBipartiteAuctionMatching<V, E> implements MatchingAlgorithm<V, E> {
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private final Graph<V, E> graph;
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private final Set<V> partition1;
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private final Set<V> partition2;
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private final BigDecimal delta;
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private final Set<E> matching;
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private BigDecimal matchingWeight;
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private boolean swappedPartitions = false;
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public MaximumWeightBipartiteAuctionMatching(Graph<V, E> graph, Set<V> partition1, Set<V> partition2) {
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this.graph = GraphTests.requireUndirected(graph);
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this.partition1 = Objects.requireNonNull(partition1, "Partition 1 cannot be null");
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this.partition2 = Objects.requireNonNull(partition2, "Partition 2 cannot be null");
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int n = Math.max(partition1.size(), partition2.size());
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this.delta = BigDecimal.valueOf(1 / ((double) n + 1));
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// this.delta = BigDecimal.valueOf(n/2);
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this.matching = new LinkedHashSet<>();
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this.matchingWeight = BigDecimal.ZERO;
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}
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/*
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Method coded using MaximumWeightBipartiteMatching.class from JgraphT as a model
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*/
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@Override
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public Matching<V, E> getMatching() {
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/*
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* Test input instance
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*/
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if (!GraphTests.isSimple(graph)) {
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throw new IllegalArgumentException("Only simple graphs supported");
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}
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if (!GraphTests.isBipartitePartition(graph, partition1, partition2)) {
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throw new IllegalArgumentException("Graph partition is not bipartite");
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}
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/*
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If the two partitions are different sizes, the bidders must be the smaller of the two partitions.
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*/
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Set<V> items;
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Set<V> bidders;
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if (partition2.size() >= partition1.size()) {
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bidders = partition1;
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items = partition2;
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}
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else {
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bidders = partition2;
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items = partition1;
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swappedPartitions = true;
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}
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/*
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Create a map to track the owner of each item, which is initially null,
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and a map to track the price of each item, which is initially 0.
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*/
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Map<V, V> owners = new HashMap<>();
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Map<V, BigDecimal> prices = new HashMap<>();
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for(V item: items) {
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owners.put(item, null);
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prices.put(item, BigDecimal.ZERO);
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}
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//Initialize queue of all bidders that don't currently own an item
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Queue<V> unmatchedBidders = new ArrayDeque<>();
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for(V bidder: bidders) {
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unmatchedBidders.offer(bidder);
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}
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while (unmatchedBidders.size() > 0) {
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V bidder = unmatchedBidders.poll();
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V item = null;
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BigDecimal bestValue = BigDecimal.valueOf(-1.0);
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//find the item that offers the best value for this bidder
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for (E edge: graph.edgesOf(bidder)) {
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double weight = graph.getEdgeWeight(edge);
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if(weight == 0.0) {
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continue;
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}
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V tmp = getItem(bidder, edge);
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BigDecimal value = BigDecimal.valueOf(weight).subtract(prices.get(tmp));
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if (value.compareTo(bestValue) >= 0) {
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bestValue = value;
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item = tmp;
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}
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}
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if(bestValue.compareTo(BigDecimal.ZERO) >= 0) {
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V formerOwner = owners.get(item);
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BigDecimal formerPrice = prices.get(item);
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if (formerOwner != null) {
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unmatchedBidders.offer(formerOwner);
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}
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owners.put(item, bidder);
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prices.put(item, formerPrice.add(delta));
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}
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}
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for (V item: owners.keySet()) {
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if (owners.get(item) != null) {
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matching.add(graph.getEdge(item, owners.get(item)));
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}
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}
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for(E edge: matching) {
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this.matchingWeight = this.matchingWeight.add(BigDecimal.valueOf(graph.getEdgeWeight(edge)));
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}
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return new MatchingImpl<>(graph, matching, matchingWeight.doubleValue());
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}
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private V getItem(V bidder, E edge) {
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if (swappedPartitions) {
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return graph.getEdgeSource(edge);
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}
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else {
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return graph.getEdgeTarget(edge);
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}
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}
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private V getBidder(V item, E edge) {
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if (swappedPartitions) {
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return graph.getEdgeTarget(edge);
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}
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else {
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return graph.getEdgeSource(edge);
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}
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}
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public BigDecimal getMatchingWeight() {
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return matchingWeight;
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}
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}
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