Scippy

SCIP

Solving Constraint Integer Programs

Functions
cons_bivariate.h File Reference
Public API of SCIP » Plugin API of SCIP » Constraint Handler

Detailed Description

constraint handler for bivariate nonlinear constraints \(\textrm{lhs} \leq f(x,y) + c z \leq \textrm{rhs}\)

Author
Martin Ballerstein
Dennis Michaels
Stefan Vigerske

Definition in file cons_bivariate.h.

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

Go to the source code of this file.

Functions

SCIP_RETCODE SCIPincludeConshdlrBivariate (SCIP *scip)
 

Bivariate Constraints

This constraint handler handles constraints of the form

\[ \textrm{lhs} \leq f(x,y) + c z \leq \textrm{rhs} \]

for a bivariate nonlinear function \(f(x,y)\) (given as expression tree) that has a fixed convexity behaviour, that is, \(f(x,y)\) has to be either jointly convex in \((x,y)\), or convex in \(x\) and concave in \(y\), or convex in \(x\) and convex in \(y\), but indefinite w.r.t. \((x,y)\). See also

Martin Ballerstein, Dennis Michaels, and Stefan Vigerske
Linear Underestimators for bivariate functions with a fixed convexity behavior
ZIB Report 13-02, 2013. http://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/1764
enum  SCIP_BIVAR_CONVEXITY {
  SCIP_BIVAR_ALLCONVEX = 0,
  SCIP_BIVAR_1CONVEX_INDEFINITE = 1,
  SCIP_BIVAR_CONVEX_CONCAVE = 2,
  SCIP_BIVAR_UNKNOWN = 3
}
 
SCIP_RETCODE SCIPcreateConsBivariate (SCIP *scip, SCIP_CONS **cons, const char *name, SCIP_EXPRTREE *f, SCIP_BIVAR_CONVEXITY convextype, SCIP_VAR *z, SCIP_Real zcoef, SCIP_Real lhs, SCIP_Real rhs, 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 SCIPcreateConsBasicBivariate (SCIP *scip, SCIP_CONS **cons, const char *name, SCIP_EXPRTREE *f, SCIP_BIVAR_CONVEXITY convextype, SCIP_VAR *z, SCIP_Real zcoef, SCIP_Real lhs, SCIP_Real rhs)
 
SCIP_VAR * SCIPgetLinearVarBivariate (SCIP *scip, SCIP_CONS *cons)
 
SCIP_Real SCIPgetLinearCoefBivariate (SCIP *scip, SCIP_CONS *cons)
 
SCIP_EXPRTREE * SCIPgetExprtreeBivariate (SCIP *scip, SCIP_CONS *cons)
 
SCIP_Real SCIPgetLhsBivariate (SCIP *scip, SCIP_CONS *cons)
 
SCIP_Real SCIPgetRhsBivariate (SCIP *scip, SCIP_CONS *cons)