// // Copyright 2012 Hakan Kjellerstrand // // 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. using System; using System.Linq; using System.Collections; using System.Collections.Generic; using Google.OrTools.ConstraintSolver; public class CombinatorialAuction2 { /** * * Combinatorial auction. * * This is a more general model for the combinatorial example * in the Numberjack Tutorial, pages 9 and 24 (slides 19/175 and * 51/175). * * See http://www.hakank.org/or-tools/combinatorial_auction2.py * * The original and more talkative model is here: * http://www.hakank.org/numberjack/combinatorial_auction.py * */ private static void Solve() { Solver solver = new Solver("CombinatorialAuction2"); // // Data // int n = 5; // the items for each bid int[][] items = { new int[] {0,1}, // A,B new int[] {0,2}, // A, C new int[] {1,3}, // B,D new int[] {1,2,3}, // B,C,D new int[] {0} // A }; int[] bid_ids = {0,1,2,3}; int[] bid_amount = {10,20,30,40,14}; // // Decision variables // IntVar[] x = solver.MakeIntVarArray(n, 0, 1, "x"); IntVar z = x.ScalProd(bid_amount).VarWithName("z"); // // Constraints // foreach(int bid_id in bid_ids) { var tmp2 = (from item in Enumerable.Range(0, n) from i in Enumerable.Range(0, items[item].Length) where items[item][i] == bid_id select x[item]); solver.Add(tmp2.ToArray().Sum() <= 1); } // // Objective // OptimizeVar obj = z.Maximize(1); // // Search // DecisionBuilder db = solver.MakePhase(x, Solver.CHOOSE_FIRST_UNBOUND, Solver.ASSIGN_MIN_VALUE); solver.NewSearch(db, obj); while (solver.NextSolution()) { Console.Write("z: {0,2} x: ", z.Value()); for(int i = 0; i < n; i++) { Console.Write(x[i].Value() + " "); } Console.WriteLine(); } Console.WriteLine("\nSolutions: {0}", solver.Solutions()); Console.WriteLine("WallTime: {0}ms", solver.WallTime()); Console.WriteLine("Failures: {0}", solver.Failures()); Console.WriteLine("Branches: {0} ", solver.Branches()); solver.EndSearch(); } public static void Main(String[] args) { Solve(); } }