Scippy

SCIP

Solving Constraint Integer Programs

cons_benders.h
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3/* This file is part of the program and library */
4/* SCIP --- Solving Constraint Integer Programs */
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24
25/**@file cons_benders.h
26 * @ingroup CONSHDLRS
27 * @brief constraint handler for Benders' decomposition
28 * @author Stephen J. Maher
29 */
30
31/*---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8----+----9----+----0----+----1----+----2*/
32
33#ifndef __SCIP_CONS_BENDERS_H__
34#define __SCIP_CONS_BENDERS_H__
35
36
37#include "scip/def.h"
38#include "scip/type_benders.h"
39#include "scip/type_cons.h"
40#include "scip/type_result.h"
41#include "scip/type_retcode.h"
42#include "scip/type_scip.h"
43#include "scip/type_sol.h"
44
45#ifdef __cplusplus
46extern "C" {
47#endif
48
49/** creates the handler for Benders' decomposition and includes it in SCIP
50 *
51 * @ingroup ConshdlrIncludes
52 * */
53SCIP_EXPORT
55 SCIP* scip /**< SCIP data structure */
56 );
57
58/**@addtogroup CONSHDLRS
59 *
60 * @{
61 *
62 * @name Benders Constraints
63 *
64 * Two constraint handlers are implemented for the generation of Benders' decomposition cuts. When included in a
65 * problem, the Benders' decomposition constraint handlers generate cuts during the enforcement of LP and relaxation
66 * solutions. Additionally, Benders' decomposition cuts can be generated when checking the feasibility of solutions with
67 * respect to the subproblem constraints.
68 *
69 * This constraint handler has an enforcement priority that is less than the integer constraint handler. This means that
70 * only integer feasible solutions from the LP solver are enforced by this constraint handler. This is the traditional
71 * behaviour of the branch-and-check approach to Benders' decomposition. Additionally, the check priority is set low,
72 * such that this expensive constraint handler is only called as a final check on primal feasible solutions.
73 *
74 * This constraint handler in the standard constraint handler that should be added when using Benders' decomposition.
75 * Additionally, there is a flag in SCIPincludeConshdlrBenders that permits the addition of the LP constraint handler,
76 * cons_benderslp. The use of both cons_benders and cons_benderslp allows the user to perform a multiphase Benders'
77 * decomposition algorithm.
78 *
79 * @{
80 */
81
82/** enforces Benders' constraints for given solution
83 *
84 * This method is called from cons_benderslp and cons_benders. If the method is called from cons_benderslp, then the
85 * solutions are not guaranteed to be integer feasible. This is because the default priority is set greater than the
86 * integer constraint handler. If this method is called from cons_benders, then, because the default enforcement
87 * priority is set less than that of the integer constraint handler, then it can be assumed that the solutions are
88 * integer feasible.
89 *
90 * The checkint flag indicates whether integer feasibility can be assumed. If it is not assumed, i.e. checkint ==
91 * FALSE, then only the convex relaxations of the subproblems are solved. If integer feasibility is assumed, i.e.
92 * checkint == TRUE, then the convex relaxations and the full CIP are solved to generate Benders' cuts and check
93 * solution feasibility.
94 */
95SCIP_EXPORT
97 SCIP* scip, /**< the SCIP instance */
98 SCIP_SOL* sol, /**< the primal solution to enforce, or NULL for the current LP/pseudo sol */
99 SCIP_CONSHDLR* conshdlr, /**< the constraint handler */
100 SCIP_RESULT* result, /**< the result of the enforcement */
101 SCIP_BENDERSENFOTYPE type, /**< the type of solution being enforced */
102 SCIP_Bool checkint /**< should integrality be considered when checking the subproblems */
103 );
104
105/** @} */
106
107/** @} */
108
109#ifdef __cplusplus
110}
111#endif
112
113#endif
common defines and data types used in all packages of SCIP
#define SCIP_Bool
Definition: def.h:91
SCIP_RETCODE SCIPconsBendersEnforceSolution(SCIP *scip, SCIP_SOL *sol, SCIP_CONSHDLR *conshdlr, SCIP_RESULT *result, SCIP_BENDERSENFOTYPE type, SCIP_Bool checkint)
Definition: cons_benders.c:260
SCIP_RETCODE SCIPincludeConshdlrBenders(SCIP *scip)
Definition: cons_benders.c:768
type definitions for Benders' decomposition methods
enum SCIP_BendersEnfoType SCIP_BENDERSENFOTYPE
Definition: type_benders.h:51
type definitions for constraints and constraint handlers
result codes for SCIP callback methods
enum SCIP_Result SCIP_RESULT
Definition: type_result.h:61
type definitions for return codes for SCIP methods
enum SCIP_Retcode SCIP_RETCODE
Definition: type_retcode.h:63
type definitions for SCIP's main datastructure
type definitions for storing primal CIP solutions