// 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. package com.google.ortools.examples; import com.google.ortools.graph.MaxFlow; import com.google.ortools.graph.MinCostFlow; /** * Sample showing how to model using the flow solver. * */ public class FlowExample { static { System.loadLibrary("jniortools"); } private static void solveMinCostFlow() { System.out.println("Min Cost Flow Problem - Simple interface"); final int numSources = 4; final int numTargets = 4; final int[][] costs = { {90, 75, 75, 80}, {35, 85, 55, 65}, {125, 95, 90, 105}, {45, 110, 95, 115}}; final int expectedCost = 275; MinCostFlow minCostFlow = new MinCostFlow(); for (int source = 0; source < numSources; ++source) { for (int target = 0; target < numTargets; ++target) { minCostFlow.addArcWithCapacityAndUnitCost( source, numSources + target, 1, costs[source][target]); } } for (int node = 0; node < numSources; ++node) { minCostFlow.setNodeSupply(node, 1); minCostFlow.setNodeSupply(numSources + node, -1); } if (minCostFlow.solve() == MinCostFlow.Status.OPTIMAL) { final long totalFlowCost = minCostFlow.getOptimalCost(); System.out.println("total flow = " + totalFlowCost + "/" + expectedCost); for (int i = 0; i < minCostFlow.getNumArcs(); ++i) { if (minCostFlow.getFlow(i) > 0) { System.out.println("From source " + minCostFlow.getTail(i) + " to target " + minCostFlow.getHead(i) + ": cost " + minCostFlow.getUnitCost(i)); } } } else { System.out.println("No solution found"); } } private static void solveMaxFlow() { System.out.println("Max Flow Problem - Simple interface"); final int[] tails = {0, 0, 0, 0, 1, 2, 3, 3, 4}; final int[] heads = {1, 2, 3, 4, 3, 4, 4, 5, 5}; final int[] capacities = {5, 8, 5, 3, 4, 5, 6, 6, 4}; final int expectedTotalFlow = 10; MaxFlow maxFlow = new MaxFlow(); for (int i = 0; i < tails.length; ++i) { maxFlow.addArcWithCapacity(tails[i], heads[i], capacities[i]); } if (maxFlow.solve(0, 5) == MaxFlow.Status.OPTIMAL) { System.out.println("Total flow " + maxFlow.getOptimalFlow() + "/" + expectedTotalFlow); for (int i = 0; i < maxFlow.getNumArcs(); ++i) { System.out.println("From source " + maxFlow.getTail(i) + " to target " + maxFlow.getHead(i) + ": " + maxFlow.getFlow(i) + " / " + maxFlow.getCapacity(i)); } // TODO(user): Our SWIG configuration does not currently handle these // functions correctly in Java: // maxFlow.getSourceSideMinCut(...); // maxFlow.getSinkSideMinCut(...); } else { System.out.println("There was an issue with the input."); } } public static void main(String[] args) throws Exception { FlowExample.solveMinCostFlow(); FlowExample.solveMaxFlow(); } }