FICO
FICO Xpress Optimization Examples Repository
FICO Optimization Community FICO Xpress Optimization Home
Back to examples browserPrevious exampleNext example

Delivery - Data input from file; infeasibility analysis

Description
A simple supply and demand network example showing data input from file and the use of "views": incremental definition of arrays of variables. Also uses constraint templates with the arrays of variables.

A second version of this model (file xbdlvriis) has modified data making the problem infeasible. This example shows how to analyze infeasibility with the help of IIS (irreducible infeasible sets), it retrieves the IIS and prints out their contents.

It is possible to retrieve more detailed information on the IIS, such as isolation rows or bounds, using Xpress Optimizer functions (file xbdlvriis2iso) or to use the infeasibility repair functionality of the Optimizer (file xbdlvriis2rep) with models defined in BCL.

xbdelvrjava.zip[download all files]

Source Files
By clicking on a file name, a preview is opened at the bottom of this page.
xbdelvr.java[download]
xbdlvriis.java[download]
xbdlvriis2iso.java[download]
xbdlvriis2rep.java[download]

Data Files





xbdlvriis2iso.java

/********************************************************
  Xpress-BCL Java Example Problems
  ================================

  file xbdlvriis2iso.java
  ```````````````````````
  Transportation problem (infeasible data).
  Retrieving and printing IIS.
  - Using Optimizer functions to retrieve detailed
    IIS information including isolation rows/bounds -

  (c) 2008-2024 Fair Isaac Corporation
      author: S.Heipcke, Jan. 2008, rev. Mar. 2011
********************************************************/

import java.io.*;
import java.util.*;
import java.text.DecimalFormat;
import com.dashoptimization.*;

public class xbdlvriis2iso {
    static final int NSupp = 10;     /* Number of suppliers */
    static final int NCust = 7;      /* Number of customers */
    static final int MaxArcs = 100;  /* Max. num. of non-zero cost values */

    static final String VANFILE = System.getProperty("XPRBDATA") +
        "/delivery/ifvan.dat";
    static final String COSTFILE = System.getProperty("XPRBDATA") +
        "/delivery/cost.dat";

    /****DATA****/
    /* Supplier:                    London  Luton  B'ham Bristl  Derby Stckpt */
    static final double SUPPLY[] = {140.0, 200.0,  50.0,  10.0, 400.0, 200.0,
                                    /* Supplier:                     York  Derby Soton Scnthp */
                                    20.0, 90.0,  30.0,  12.0};
    /* Customer:                     London Livpol Doncst   York   Hull  Manchr */
    static final double DEMAND[] = {1230.3, 560.4, 117.1, 592.8, 310.0, 1247.0,
                                    /* Customer:                     Shffld */
                                    86.0};

    static double[][] COST;          /* Cost per supplier-customer pair */
    static double[][] IFVAN;         /* Non-zero if route uses vans instead
                                        of lorries */
    static final double VANCAP=40.0; /* Capacity on routes that use vans */

    static XPRSprob op;

    private static DecimalFormat form = new DecimalFormat ("####.0");

    /***********************************************************************/

    static void modDelivery() {
        XPRBexpr lobj, lc;
        int s,c,i;
        XPRBvar[][] x;
        XPRBctr[] CSupply, CDemand;
        int numv, numc, numiis, ncol, nrow;
        IntHolder inumv, inumc, inumiis;
        int[] viis, ciis;
        double[] duals, rdcs, bnd, rhs;
        byte[] ctrtype, bndtype, isolationrows, isolationbnds;
        String[] cnames, vnames;
        String isotype[] = {"N/A", "No ", "Yes"};

        try (XPRBprob p = new XPRBprob("Delivery"); /* Initialize BCL and create a new problem in BCL */
             XPRS xprs = new XPRS()) {              /* Initialize Xpress-Optimizer */

            /****VARIABLES****/
            x = new XPRBvar[NSupp][NCust];
            for(s=0;s<NSupp;s++)
                for(c=0; c<NCust; c++)
                    x[s][c] = p.newVar("x_s" + s + "_" + c);

            /****OBJECTIVE****/
            lobj = new XPRBexpr();
            for(s=0;s<NSupp;s++)            /* Objective: Minimize total cost */
                for(c=0; c<NCust; c++)
                    lobj.add(x[s][c].mul(COST[s][c]));
            p.setObj(lobj); /* Set objective function */

            /****CONSTRAINTS****/
            CDemand = new XPRBctr[NCust];
            for(c=0; c<4; c++) {               /* Satisfy demand of each customer */
                lc = new XPRBexpr();
                for(s=0;s<5;s++)  lc.add(x[s][c]);
                CDemand[c] = p.newCtr("Demand", lc.gEql(DEMAND[c]));
            }
            for(c=4; c<NCust; c++) {           /* Satisfy demand of each customer */
                lc = new XPRBexpr();
                for(s=5;s<NSupp;s++)  lc.add(x[s][c]);
                CDemand[c] = p.newCtr("Demand", lc.gEql(DEMAND[c]));
            }

            CSupply = new XPRBctr[NSupp];
            for(s=0;s<5;s++) {                 /* Keep within supply at each supplier*/
                lc = new XPRBexpr();
                for(c=0; c<4; c++)  lc.add(x[s][c]);
                CSupply[s] = p.newCtr("Supply", lc.lEql(SUPPLY[s]) );
            }
            for(s=5;s<NSupp;s++) {             /* Keep within supply at each supplier*/
                lc = new XPRBexpr();
                for(c=4; c<NCust; c++)  lc.add(x[s][c]);
                CSupply[s] = p.newCtr("Supply", lc.lEql(SUPPLY[s]) );
            }

            /****BOUNDS****/
            for(s=0;s<NSupp;s++)
                for(c=0; c<NCust; c++)
                    if(IFVAN[s][c]!=0) x[s][c].setUB(VANCAP);

            /****SOLVING + OUTPUT****/
            p.setSense(XPRB.MINIM);          /* Set objective sense to minimization */
            p.lpOptimize("");                /* Solve the LP-problem */

            System.out.println("LP status: " + p.getLPStat());
            if (p.getLPStat()==XPRB.LP_OPTIMAL)
                System.out.println("Objective: " + p.getObjVal()); /* Get objective value */
            else if (p.getLPStat()==XPRB.LP_INFEAS) {
                op = p.getXPRSprob();           /* Retrieve the Optimizer problem */

                /**** Get all IIS ****/
                op.IISAll();                   /* Generate all IIS */
                /* Get the number of independent IIS  */
                numiis = op.getIntAttrib(XPRS.NUMIIS);
                System.out.println("Number of IIS: " + numiis);


                /**** Obtain variable and constraint names for later use in printout ****/
                /* Retrieve variable names */
                ncol=op.getIntAttrib(XPRS.ORIGINALCOLS);
                vnames = new java.lang.String[ncol];
                op.getNames(XPRS.NAMES_COLUMN, vnames, 0, ncol-1);
                /* Retrieve constraint names */
                nrow=op.getIntAttrib(XPRS.ORIGINALROWS);
                cnames = new java.lang.String[nrow];
                op.getNames(XPRS.NAMES_ROW, cnames, 0, nrow-1);


                /**** Retrieve detailed IIS info (incl. isolations) ****/
                inumc = new IntHolder(); inumv = new IntHolder();
                for(s=1;s<=numiis;s++) {
                    op.getIISData(s, inumc, inumv, null, null, null, null,
                                  null, null, null, null);
                    op.IISIsolations(s);

                    numv = inumv.value; numc = inumc.value;
                    ciis = new int[numc];
                    viis = new int[numv];
                    duals = new double[numc];
                    rdcs = new double[numv];
                    ctrtype = new byte[numc];
                    bndtype = new byte[numv];
                    isolationrows = new byte[numc];
                    isolationbnds = new byte[numv];

                    op.getIISData(s, inumc, inumv, ciis, viis, ctrtype, bndtype,
                                  duals, rdcs, isolationrows, isolationbnds);
                    System.out.println("IIS " + s + ":  " + numv + " variables, " +
                                       numc + " constraints");
                    System.out.println("  Name    Type   Sense   Bound   Dual values   In iso. ");
                    if (numv>0)
                        {                              /* Print all variables in the IIS */
                            bnd = new double[1];
                            for(i=0;i<numv;i++) {
                                if (bndtype[i] == 'L') op.getLB(bnd, viis[i], viis[i]);
                                else op.getUB(bnd, viis[i], viis[i]);
                                System.out.print(vnames[viis[i]] + "   column    " + bndtype[i] + "     ");
                                System.out.println(bnd[0] + "       " + rdcs[i] + "         " + isotype[1+(int)isolationbnds[i]] );
                            }
                        }
                    if (numc>0)
                        {                              /* Print all constraints in the IIS */
                            rhs = new double[1];
                            for(i=0;i<numc;i++) {
                                op.getRHS(rhs, ciis[i], ciis[i]);
                                System.out.print(cnames[ciis[i]] + "   row     " + ctrtype[i] + "     ");
                                System.out.println(form.format(rhs[0]) + "     " + form.format(duals[i]) + "         " + isotype[1+(int)isolationrows[i]]);
                            }
                        }
                }

            }
        }
    }

    /***********************************************************************/

    /**** Initialize the stream tokenizer ****/
    static StreamTokenizer initST(FileReader file) {
        StreamTokenizer st=null;

        st = new StreamTokenizer(file);  /* Initialize the stream tokenizer */
        st.commentChar('!');             /* Use the character '!' for comments */
        st.eolIsSignificant(true);       /* Return end-of-line character */
        st.ordinaryChar(',');            /* Use ',' as separator */
        st.parseNumbers();               /* Read numbers as numbers (not strings)*/
        return st;
    }

    /**** Read multi line data file ****/
    static void readMultiLineFile(String filename, double[][] data) throws IOException {
        FileReader datafile=null;
        StreamTokenizer st;
        int i=0, j=0;

        datafile = new FileReader(filename);
        st = initST(datafile);
        do {
            do {
                st.nextToken();
            } while(st.ttype==st.TT_EOL);    /* Skip empty lines */
            while(st.ttype == st.TT_NUMBER) {
                data[j][i++] = st.nval;
                if(st.nextToken() != ',') { j++; i=0; break;}
                st.nextToken();
            }
        } while( st.ttype == st.TT_EOL );
        datafile.close();
    }

    /**** Read data from files ****/
    static void readData() throws IOException {
        int s,c;

        COST = new double[NSupp][NCust];
        IFVAN = new double[NSupp][NCust];

        /* Initialize data tables to 0: in the van data file some entries that are
         * zero are simply left out (that is, the lines are incomplete) */
        for(s=0;s<NSupp;s++)
            for(c=0; c<NCust; c++) {
                COST[s][c] = 0;
                IFVAN[s][c] = 0;
            }
        /* Read the demand data file */
        readMultiLineFile(COSTFILE,COST);

        /* Read the van data file */
        readMultiLineFile(VANFILE,IFVAN);
    }

    /***********************************************************************/

    public static void main(String[] args) {
        try {
            readData();           /* Data input from file */
        }
        catch(IOException e) {
            System.err.println(e.getMessage());
            System.exit(1);
        }
        modDelivery();         /* Problem formulation and solution */
    }
}

Back to examples browserPrevious exampleNext example