Solving Constraint Integer Programs

Detailed Description

constraint handler for linking binary variables to an integer variable

Stefan Heinz
Jens Schulz

Definition in file cons_linking.h.

#include "scip/def.h"
#include "scip/type_cons.h"
#include "scip/type_retcode.h"
#include "scip/type_scip.h"
#include "scip/type_var.h"

Go to the source code of this file.


SCIP_RETCODE SCIPincludeConshdlrLinking (SCIP *scip)
Linking Constraints

The constraints handler stores linking constraints between an integer variable and an array of binary variables. Such a linking constraint has the form:

\[ y = \sum_{i=1}^n {c_i * x_i} \]

with integer variable \( y \), binary variables \( x_1, \dots, x_n \) and offset \(b \in Q\), and with the additional side condition that exactly one binary variable has to be one (set partitioning condition).

This constraint can be created only with the integer variable. In this case the binary variables are only created on demand. That is, whenever someone asks for the binary variables. Therefore, such constraints can be used to get a "binary representation" of the domain of the integer variable which will be dynamically created.

SCIP_RETCODE SCIPcreateConsLinking (SCIP *scip, SCIP_CONS **cons, const char *name, SCIP_VAR *intvar, SCIP_VAR **binvars, int *vals, int nbinvars, SCIP_Bool initial, SCIP_Bool separate, SCIP_Bool enforce, SCIP_Bool check, SCIP_Bool propagate, SCIP_Bool local, SCIP_Bool modifiable, SCIP_Bool dynamic, SCIP_Bool removable, SCIP_Bool stickingatnode)
SCIP_RETCODE SCIPcreateConsBasicLinking (SCIP *scip, SCIP_CONS **cons, const char *name, SCIP_VAR *intvar, SCIP_VAR **binvars, int *vals, int nbinvars)
SCIP_Bool SCIPexistsConsLinking (SCIP *scip, SCIP_VAR *intvar)
SCIP_CONSSCIPgetConsLinking (SCIP *scip, SCIP_VAR *intvar)
SCIP_VARSCIPgetIntvarLinking (SCIP *scip, SCIP_CONS *cons)
SCIP_RETCODE SCIPgetBinvarsLinking (SCIP *scip, SCIP_CONS *cons, SCIP_VAR ***binvars, int *nbinvars)
int SCIPgetNBinvarsLinking (SCIP *scip, SCIP_CONS *cons)
int * SCIPgetValsLinking (SCIP *scip, SCIP_CONS *cons)