// Copyright 2011 Hakan Kjellerstrand hakank@gmail.com // 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.constraintsolver.DecisionBuilder; import com.google.ortools.constraintsolver.IntVar; import com.google.ortools.constraintsolver.OptimizeVar; import com.google.ortools.constraintsolver.Solver; import java.io.*; import java.text.*; import java.util.*; public class CoveringOpl { static { System.loadLibrary("jniortools"); } /** Solves a set covering problem. See http://www.hakank.org/google_or_tools/covering_opl.py */ private static void solve() { Solver solver = new Solver("CoveringOpl"); // // data // int num_workers = 32; int num_tasks = 15; // Which worker is qualified for each task. // Note: This is 1-based and will be made 0-base below. int[][] qualified = { {1, 9, 19, 22, 25, 28, 31}, {2, 12, 15, 19, 21, 23, 27, 29, 30, 31, 32}, {3, 10, 19, 24, 26, 30, 32}, {4, 21, 25, 28, 32}, {5, 11, 16, 22, 23, 27, 31}, {6, 20, 24, 26, 30, 32}, {7, 12, 17, 25, 30, 31}, {8, 17, 20, 22, 23}, {9, 13, 14, 26, 29, 30, 31}, {10, 21, 25, 31, 32}, {14, 15, 18, 23, 24, 27, 30, 32}, {18, 19, 22, 24, 26, 29, 31}, {11, 20, 25, 28, 30, 32}, {16, 19, 23, 31}, {9, 18, 26, 28, 31, 32} }; int[] cost = { 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 8, 9 }; // // variables // IntVar[] hire = solver.makeIntVarArray(num_workers, 0, 1, "workers"); IntVar total_cost = solver.makeScalProd(hire, cost).var(); // // constraints // for (int j = 0; j < num_tasks; j++) { // Sum the cost for hiring the qualified workers // (also, make 0-base). int len = qualified[j].length; IntVar[] tmp = new IntVar[len]; for (int c = 0; c < len; c++) { tmp[c] = hire[qualified[j][c] - 1]; } IntVar b = solver.makeSum(tmp).var(); solver.addConstraint(solver.makeGreaterOrEqual(b, 1)); } // Objective: Minimize total cost OptimizeVar objective = solver.makeMinimize(total_cost, 1); // // search // DecisionBuilder db = solver.makePhase(hire, solver.CHOOSE_FIRST_UNBOUND, solver.ASSIGN_MIN_VALUE); solver.newSearch(db, objective); // // output // while (solver.nextSolution()) { System.out.println("Cost: " + total_cost.value()); System.out.print("Hire: "); for (int i = 0; i < num_workers; i++) { if (hire[i].value() == 1) { System.out.print(i + " "); } } System.out.println("\n"); } solver.endSearch(); // Statistics System.out.println(); System.out.println("Solutions: " + solver.solutions()); System.out.println("Failures: " + solver.failures()); System.out.println("Branches: " + solver.branches()); System.out.println("Wall time: " + solver.wallTime() + "ms"); } public static void main(String[] args) throws Exception { CoveringOpl.solve(); } }