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Chess - Composing constraints and solving

Description
A tiny LP problem concerning the manufacture of chess boards. The example composes constraints term by term and then solves the problem.


Source Files





xbchess.cs

/********************************************************/
/*  Xpress-BCL C# Example Problems                      */
/*  ==============================                      */
/*                                                      */
/*  file xbchess.cs                                     */
/*  ```````````````                                     */
/*  Example for the use of Xpress-BCL                   */
/*  (Small LP-problem from XPRESS-MP User Guide)        */
/*                                                      */
/*  (c) 2008 Fair Isaac Corporation                     */
/*      authors: S.Heipcke, D.Brett.                    */
/********************************************************/

using System;
using System.Text;
using System.IO;
using BCL;


namespace Examples
{
    public class TestChess
    {

        public static void Main()
        {
            System.Console.WriteLine("Started Chess Test.\n");
            XPRB.init();

            //OK, now try a few things from the sample files translated to C#:
            XPRBvar xs;               /* Number of small chess sets to make */
            XPRBvar xl;               /* Number of large chess sets to make */
            XPRBprob p = new XPRBprob("Chess");      /* Initialize a new problem in BCL */

            /****VARIABLES****/
            xs = p.newVar("xs");
            xl = p.newVar("xl");

            /****OBJECTIVE****/
            p.setObj(p.newCtr("OBJ", 5.0 * xs + 20.0 * xl));

            /****CONSTRAINTS****/
            /* Define the constraint 3*xs + 2*xl <= 400 */
            p.newCtr("mc_time", 3.0 * xs + 2.0 * xl <= 400.0);

            /* Define the constraint xs + 3*xl <= 200 */
            p.newCtr("wood", xs + (3.0 * xl) <= 200.0);

            System.Console.WriteLine("Constraints set\n");

            /****SOLVING****/
            p.setSense(BCLconstant.XPRB_MAXIM);
            p.lpOptimize();              /* Solve the LP-problem */

            return;
        }
    }
}

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