XPRSloadmip, XPRSloadmip64

Purpose

Used to load a MIP problem into the Optimizer data structures. Integer, binary, partial integer, semi-continuous and semi-continuous integer variables can be defined, together with sets of type 1 and 2. The reference row values for the set members are passed as an array rather than specifying a reference row.

Topic areas

Problem Input, MIP Entities

Synopsis

int XPRS_CC XPRSloadmip(XPRSprob prob, const char *probname, int ncols, int nrows, const char rowtype[], const double rhs[], const double rng[], const double objcoef[], const int start[], const int collen[], const int rowind[], const double rowcoef[], const double lb[], const double ub[], int nentities, int nsets, const char coltype[], const int entind[], const double limit[], const char settype[], const int setstart[], const int setind[], const double refval[]);

int XPRS_CC XPRSloadmip64(XPRSprob prob, const char *probname, int ncols, int nrows, const char rowtype[], const double rhs[], const double rng[], const double objcoef[], const XPRSint64 start[], const int collen[], const int rowind[], const double rowcoef[], const double lb[], const double ub[], int nentities, int nsets, const char coltype[], const int entind[], const double limit[], const char settype[], const XPRSint64 setstart[], const int setind[], const double refval[]);

Arguments

prob

The current problem.

probname

A string of up to MAXPROBNAMELENGTH characters containing a name for the problem. If probname is NULL, the problem name will be an empty string.

ncols

Number of structural columns in the matrix.

nrows

Number of rows in the matrix not (including the objective row). Objective coefficients must be supplied in the objcoef array, and the objective function should not be included in any of the other arrays.

rowtype

Character array of length nrows containing the row types:

L	indicates a ≤ constraint;
E	indicates an = constraint;
G	indicates a ≥ constraint;
R	indicates a range constraint;
N	indicates a nonbinding constraint.

May be NULL if the problem contains no rows.

rhs

Double array of length nrows containing the right hand side coefficients of the rows. The right hand side value for a range row gives the upper bound on the row. May be NULL if the problem contains no rows.

rng

Double array of length nrows containing the range values for range rows. Values for all other rows will be ignored. May be NULL if not required. The lower bound on a range row is the right hand side value minus the range value. The sign of the range value is ignored - the absolute value is used in all cases.

objcoef

Double array of length ncols containing the objective function coefficients. This can be NULL to set all objective coefficients to 0 (zero).

start

Integer array containing the offsets in the rowind and rowcoef arrays of the start of the elements for each column. This array contains one entry for each column, plus one more if collen is NULL. If collen is NULL, the last entry of start contains the position in the rowind and rowcoef arrays at which an extra column would start, if it were present. This value is also the length of the rowind and rowcoef arrays. May be NULL if the problem contains no coefficients.

collen

Integer array of length ncols containing the number of nonzero elements in each column. May be NULL if not required. This array is not required if the non-zero coefficients in the rowind and rowcoef arrays are contiguous, and the start array has an additional entry as described above.

rowind

Integer array containing the row indices for the nonzero elements in each column. May be NULL if the problem contains no coefficients. If the indices are input contiguously, with the columns in ascending order, the length of the rowind array is found by adding the start entry for the last column to the collen entry for the last column, or if collen is NULL, by the additional entry at the end of start.

rowcoef

Double array containing the nonzero element values; length as for rowind. May be NULL if the problem contains no coefficients.

Double array of length ncols containing the lower bounds on the columns. Use XPRS_MINUSINFINITY to represent a lower bound of minus infinity. If this is NULL then all lower bounds are 0 (zero).

Double array of length ncols containing the upper bounds on the columns. Use XPRS_PLUSINFINITY to represent an upper bound of plus infinity. If this is NULL then all upper bounds are infinite.

nentities

Number of binary, integer, semi-continuous, semi-continuous integer and partial integer entities.

nsets

Number of SOS1 and SOS2 sets.

coltype

Character array of length nentities containing the entity types:

B	binary variables;
I	integer variables;
P	partial integer variables;
S	semi-continuous variables;
R	semi-continuous integer variables.

May be NULL if all variables are continuous.

entind

Integer array of length nentities containing the column indices of the MIP entities. May be NULL if the problem contains no entities.

limit

Double array of length nentities containing the integer limits for the partial integer variables and lower bounds for semi-continuous and semi-continuous integer variables (any entries in the positions corresponding to binary and integer variables will be ignored). May be NULL if not required.

settype

Character array of length nsets containing the set types:

1	SOS1 type sets;
2	SOS2 type sets.

May be NULL if not required.

setstart

Integer array containing the offsets in the setind and refval arrays indicating the start of each set. This array has one entry for each set plus one extra entry containing the offset where an additional set would start, if it were present. May be NULL if not required.

setind

Integer array of length setstart[nsets]-1 containing the columns in each set. May be NULL if not required.

refval

Double array of length setstart[nsets]-1 containing the reference row entries for each member of the sets. These define the order for SOS2 constraints and may be used in branching for both types. May be NULL if not required.

Related controls

Integer

EXTRACOLS	Number of extra columns to be allowed for.
EXTRAELEMS	Number of extra matrix elements to be allowed for.
EXTRAMIPENTS	Number of extra MIP entities to be allowed for.
EXTRAROWS	Number of extra rows to be allowed for.
KEEPNROWS	Status for nonbinding rows.
SCALING	Type of scaling.

Double

MATRIXTOL	Tolerance on matrix elements.
SOSREFTOL	Minimum gap between reference row entries.

Example

The following specifies an integer problem, MIPexample, corresponding to:


minimize:	x + 2y
subject to:	3x + 2y	≤	400
	x + 3y	≤	200

with both x and y integral:

char probname[]   = "MIPexample";
int ncols = 2, nrows = 2;
char rowtype[]     = {'L','L'};
double rhs[]      = {400.0, 200};
int start[]      = {0, 2, 4};
int rowind[]      = {0, 1, 0, 1};
double rowcoef[]  = {3.0, 1.0, 2.0, 3};
double objcoefs[] = {1.0, 2};
double lb[]      = {0.0, 0.0};
double ub[]      = {200.0, 200};

int nentities = 2;
int nsets = 0;
char coltype[] = {"I","I"};
int entind[] = {0,1};
...
XPRSloadmip(prob, probname, ncols, nrows, rowtype, rhs, NULL,
               objcoefs, start, NULL, rowind,
               rowcoef, lb, ub, nentities, nsets, coltype, entind,
               NULL, NULL, NULL, NULL, NULL);

Further information

1. The row and column indices follow the usual C convention of going from 0 to nrows-1 and 0 to ncols-1 respectively.

2. The double constants XPRS_PLUSINFINITY and XPRS_MINUSINFINITY are defined in the Optimizer library header file.

3. Semi-continuous lower bounds are taken from the limit array. If this is NULL then they are given a default value of 1. If a semi-continuous variable has a positive lower bound then this will be used as the semi-continuous lower bound and the lower bound on the variable will be set to zero.

4. Passing zero for all integer arguments and NULL for all array arguments will load an empty problem.

Contents

Index

Glossary

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XPRSloadmip, XPRSloadmip64