Scippy

SCIP

Solving Constraint Integer Programs

presol_dualagg.h
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1 /* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */
2 /* */
3 /* This file is part of the program and library */
4 /* SCIP --- Solving Constraint Integer Programs */
5 /* */
6 /* Copyright (C) 2002-2016 Konrad-Zuse-Zentrum */
7 /* fuer Informationstechnik Berlin */
8 /* */
9 /* SCIP is distributed under the terms of the ZIB Academic License. */
10 /* */
11 /* You should have received a copy of the ZIB Academic License */
12 /* along with SCIP; see the file COPYING. If not email to scip@zib.de. */
13 /* */
14 /* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */
15 
16 /**@file presol_dualagg.h
17  * @brief aggregate variables by dual arguments
18  * @author Dieter Weninger
19  *
20  * This presolver looks for variables which could not be handled by
21  * duality fixing because of one up-/downlock.
22  * If the constraint which delivers the up-/downlock has
23  * a specific structure, we can aggregate the corresponding variable.
24  *
25  * In more detail (for a minimization problem and the case of only one uplock):
26  *
27  * Given a variable \f$x_i\f$ with \f$c_i \leq 0\f$ and only one up lock (originating from a constraint c),
28  * we are looking for a binary variable \f$x_j\f$ such that:
29  * 1. if \f$x_j = 0\f$, constraint c can only be fulfilled for \f$x_i = lb_i\f$, and
30  * 2. if \f$x_j = 1\f$, constraint c becomes redundant and \f$x_i\f$ can be dual-fixed to its upper bound \f$ub_i\f$
31  * (or vice versa). Then we can perform the following aggregation: \f$x_i = lb_i + x_j (ub_i - lb_i)\f$.
32  *
33  * Similar arguments apply for the case of only one down lock and \f$c_i \geq 0\f$.
34  */
35 
36 /*---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8----+----9----+----0----+----1----+----2*/
37 
38 #ifndef __SCIP_PRESOL_DUALAGG_H__
39 #define __SCIP_PRESOL_DUALAGG_H__
40 
41 
42 #include "scip/scip.h"
43 
44 #ifdef __cplusplus
45 extern "C" {
46 #endif
47 
48 /** creates the dualagg presolver and includes it in SCIP */
49 extern
51  SCIP* scip /**< SCIP data structure */
52  );
53 
54 #ifdef __cplusplus
55 }
56 #endif
57 
58 #endif
enum SCIP_Retcode SCIP_RETCODE
Definition: type_retcode.h:53
SCIP_RETCODE SCIPincludePresolDualagg(SCIP *scip)
struct Scip SCIP
Definition: type_scip.h:30
SCIP callable library.