Initializing help system before first use

Delivery - Data input from file; infeasibility analysis


Type: Network flow
Rating: 2
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.
File(s): xbdelvr.c, xbdlvriis.c, xbdlvriis2iso.c, xbdlvriis2rep.c
Data file(s): ifvan.dat, cost.dat


xbdelvr.c
/********************************************************
  BCL Example Problems
  ====================

  file xbdelivr.c
  ```````````````
  Transportation problem.
  Use of arrays.
  
  (c) 2008 Fair Isaac Corporation
      author: S.Heipcke, Jan. 2000, rev. Mar. 2011
********************************************************/

#include 
#include "xprb.h"

/* define or undefine ARRAY in order to switch between model formulations
   with or without variable arrays in constraint definition */
#define ARRAY

#define NSupp 10                        /* Number of suppliers */
#define NCust 7                         /* Number of customers */
#define MaxArcs 100                     /* Max. num. of non-zero cost values */

#define VANFILE XPRBDATAPATH "/delivery/ifvan.dat"    /* Van data file */
#define COSTFILE XPRBDATAPATH "/delivery/cost.dat"    /* Cost data file */

/****DATA****/
/* Supplier:      London  Luton  B'ham Bristl  Derby Stckpt   York */
double SUPPLY[] = {140.0, 600.0,  50.0,  10.0, 400.0, 200.0,  20.0,
/* Supplier: Derby  Soton Scnthp */
             90.0,  30.0,  12.0};
/* Customer:      London Livpol Doncst   York   Hull Manchr Shffld */
double DEMAND[] = {123.3,  56.4,  17.1, 192.8, 310.0,  47.0,  86.0};

double COST[NSupp][NCust];        /* Cost per supplier-customer pair */

double IFVAN[NSupp][NCust];       /* Non-zero if route uses vans instead 
                                     of lorries */
double VANCAP=40.0;               /* Capacity on routes that use vans */

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

void moddelivery(XPRBprob prob)
{
 XPRBctr ctr;
 int s,c;
 XPRBvar x[NSupp][NCust];
 
/****VARIABLES****/
 for(s=0;s

xbdlvriis.c
/********************************************************
  BCL Example Problems
  ====================

  file xbdlvriis.c
  ````````````````
  Transportation problem (infeasible data).
  Retrieving and printing IIS.

  (c) 2008 Fair Isaac Corporation
      author: S.Heipcke, 2005, rev. Mar. 2011
********************************************************/

#include 
#include 
#include "xprb.h"

#define NSupp 10                        /* Number of suppliers */
#define NCust 7                         /* Number of customers */
#define MaxArcs 100                     /* Max. num. of non-zero cost values */

#define VANFILE XPRBDATAPATH "/delivery/ifvan.dat"    /* Van data file */
#define COSTFILE XPRBDATAPATH "/delivery/cost.dat"    /* Cost data file */

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

double COST[NSupp][NCust];        /* Cost per supplier-customer pair */

double IFVAN[NSupp][NCust];       /* Non-zero if route uses vans instead 
                                     of lorries */
double VANCAP=40.0;               /* Capacity on routes that use vans */
  
/***********************************************************************/

void moddelivery(XPRBprob prob)
{
 XPRBctr ctr;
 int s,c,i;
 XPRBvar x[NSupp][NCust];
 XPRBctr *iisctr;
 XPRBvar *iisvar;
 int numv, numc, numiis, ct;
 
/****VARIABLES****/
 for(s=0;s0)
   {                              /* Print all variables in the IIS */
    printf("        Variables: ");
    for(i=0;i0)
   {                              /* Print all constraints in the IIS */
    printf("        Constraints: ");
    for(i=0;i0)
  {
   if(ct>0)
    printf("IIS %d:  %d variables, %d constraints\n", ct, numv, numc);
   ct++;  
   XPRBgetiis(prob, NULL, &numv, NULL, &numc, ct);
  }

/* Retrieve variables only */
  for(s=1;s<=numiis;s++)
  {
   XPRBgetiis(prob, &iisvar, &numv, NULL, NULL, s);
   printf("IIS %d:  %d variables ( ", s, numv);
   if (numv>0)
   {
    for(i=0;i0)
   {
    for(i=0;i

xbdlvriis2iso.c
/********************************************************
  BCL Example Problems
  ====================

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

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

#include 
#include 
#include 
#include "xprb.h"
#include "xprs.h"

#define NSupp 10                        /* Number of suppliers */
#define NCust 7                         /* Number of customers */
#define MaxArcs 100                     /* Max. num. of non-zero cost values */

#define VANFILE XPRBDATAPATH "/delivery/ifvan.dat"    /* Van data file */
#define COSTFILE XPRBDATAPATH "/delivery/cost.dat"    /* Cost data file */

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

double COST[NSupp][NCust];        /* Cost per supplier-customer pair */

double IFVAN[NSupp][NCust];       /* Non-zero if route uses vans instead 
                                     of lorries */
double VANCAP=40.0;               /* Capacity on routes that use vans */
  
/***********************************************************************/

void moddelivery(XPRBprob prob)
{
 XPRBctr ctr, CSupply[NSupp], CDemand[NCust];
 int s,c,i;
 XPRBvar x[NSupp][NCust];

 int numv, numc, numiis, len, ncol, nrow, namelength;
 double bnd, rhs;
 char *vnames, *cnames;
 int *viis,*ciis;
 char **vindex,**cindex;
 char *ctrtype = NULL;
 char *bndtype = NULL;
 double *duals = NULL;
 double *rdcs = NULL;
 char *isolationrows = NULL;
 char *isolationbnds = NULL;
 char *isotype[] = {"N/A", "No ", "Yes"};

 XPRSprob op;
 
/****VARIABLES****/
 for(s=0;snamelength) namelength=strlen(vindex[i]);

                                  /* Retrieve constraint names */
  XPRSgetintattrib(op, XPRS_ORIGINALROWS, &nrow); 
  XPRSgetnamelist(op, 1, NULL, 0, &len, 0, nrow-1);    
  cnames = (char *)malloc(len * sizeof(char));
  cindex = (char **)malloc(nrow * sizeof(char *));
  XPRSgetnamelist(op, 1, cnames, len, NULL, 0, nrow-1);
  cindex[0]=cnames;
  for(i=1; inamelength) namelength=strlen(cindex[i]);


/**** Retrieve detailed IIS info (incl. isolations) ****/
  for(s=1;s<=numiis;s++)
  {
   XPRSgetiisdata(op, s, &numc, &numv, NULL, NULL, NULL, NULL,
                  NULL, NULL, NULL, NULL);
    
   XPRSiisisolations(op, s);     /* Find isolations */
  
   ciis = (int *)malloc(numc * sizeof(int));
   viis = (int *)malloc(numv * sizeof(int));
   ctrtype = (char *)malloc(numc*sizeof(char)); 
   bndtype = (char *)malloc(numv*sizeof(char)); 
   duals = (double *)malloc(numc*sizeof(double)); 
   rdcs = (double *)malloc(numv*sizeof(double)); 
   isolationrows = (char *)malloc(numc*sizeof(char)); 
   isolationbnds = (char *)malloc(numv*sizeof(char)); 

   XPRSgetiisdata(op, s, &numc, &numv, ciis, viis, ctrtype, bndtype,
                  duals, rdcs, isolationrows, isolationbnds);
   printf("IIS %d:  %d variables, %d constraints\n", s, numv, numc);
   printf("   %-*s  Type    Sense   Bound   Dual values   In iso. \n", namelength, "Name");
   if (numv>0)
   {                              /* Print all variables in the IIS */
    for(i=0;i0)
   {                              /* Print all constraints in the IIS */
    for(i=0;i

xbdlvriis2rep.c
/********************************************************
  BCL Example Problems
  ====================

  file xbdlvriis2rep.c
  ````````````````````
  Transportation problem (infeasible data).
  Repairing infeasibility.
  - Using Optimizer functions -

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

#include 
#include 
#include 
#include "xprb.h"
#include "xprs.h"

#define NSupp 10                        /* Number of suppliers */
#define NCust 7                         /* Number of customers */
#define MaxArcs 100                     /* Max. num. of non-zero cost values */

#define VANFILE XPRBDATAPATH "/delivery/ifvan.dat"    /* Van data file */
#define COSTFILE XPRBDATAPATH "/delivery/cost.dat"    /* Cost data file */

void printsolution(XPRBprob prob, int scode, XPRBvar x[][NCust]);
void printsolution2(XPRSprob op, int scode, XPRBvar x[][NCust]);

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

double COST[NSupp][NCust];        /* Cost per supplier-customer pair */

double IFVAN[NSupp][NCust];       /* Non-zero if route uses vans instead 
                                     of lorries */
double VANCAP=40.0;               /* Capacity on routes that use vans */
  
/***********************************************************************/

void moddelivery(XPRBprob prob)
{
 XPRBctr ctr, CSupply[NSupp], CDemand[NCust];
 int s,c;
 XPRBvar x[NSupp][NCust];

 int ncol, nrow, scode;
 double *lrp, *grp, *lbp, *ubp;

 XPRSprob op;
 
/****VARIABLES****/
 for(s=0;s= rows)
   ax + aux_var  = b 
   ax + aux_var >= b
lbp:
   x_i + aux_var >= l
ubp:
   x_i - aux_var <= u 
*/

/**** Simplified infeasibility repair:
      specifying preferences per constraint/bound type ****/

  printf("\n**** Repair infeasibility:\n");
  XPRSrepairinfeas(op, &scode, 'c', 'o', ' ', 10, 9, 0, 20, 0.001);
  printsolution2(op, scode, x);         /* Print out the solution values */

/**** Weighted infeasibility repair:
      specifying preferences for every constraint/bound separately ****/

  XPRSgetintattrib(op, XPRS_ORIGINALCOLS, &ncol); 
  XPRSgetintattrib(op, XPRS_ORIGINALROWS, &nrow); 
  lrp = (double *)malloc(nrow*sizeof(double)); 
  grp = (double *)malloc(nrow*sizeof(double)); 
  lbp = (double *)malloc(ncol*sizeof(double)); 
  ubp = (double *)malloc(ncol*sizeof(double)); 
  memset(lrp, 0, nrow*sizeof(double));
  memset(grp, 0, nrow*sizeof(double));
  memset(lbp, 0, ncol*sizeof(double));
  memset(ubp, 0, ncol*sizeof(double));

/* Relax bounds due to van capacity */
/* Repairweightedinfeas for upper bounds of concerned flow variables */

  for(s=0; s0.01)
     printf("%s:%g ", XPRBgetvarname(x[s][c]), XPRBgetsol(x[s][c]));
  printf("\n");    
  printf("Violations:\n");
  for(c=0; cSUPPLY[s]) printf(" Supplier %d: %g\n", s, dem-SUPPLY[s]);
  }
  for(s=0; s=0 && sol[XPRBgetcolnum(x[s][c])]>0.01)
     printf("%s:%g ", XPRBgetvarname(x[s][c]), sol[XPRBgetcolnum(x[s][c])]);
  printf("\n");    
  printf("Violations:\n");
  for(c=0; c=0) sup+=sol[XPRBgetcolnum(x[s][c])];
   if(sup=0) dem+=sol[XPRBgetcolnum(x[s][c])];
   if(dem>SUPPLY[s]) printf("  Supplier %d: %g\n", s, dem-SUPPLY[s]);
  }
  for(s=0; s=0 &&
       VANCAP