presol_dualagg.h

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/*                  This file is part of the program and library             */
/*         SCIP --- Solving Constraint Integer Programs                      */
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/*    Copyright (C) 2002-2015 Konrad-Zuse-Zentrum                            */
/*                            fuer Informationstechnik Berlin                */
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/* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */

/**@file   presol_dualagg.h
 * @brief  aggregate variables by dual arguments
 * @author Dieter Weninger
 *
 * This presolver looks for variables which could not be handled by
 * duality fixing because of one up-/downlock.
 * If the constraint which delivers the up-/downlock has
 * a specific structure, we can aggregate the corresponding variable.
 *
 * In more detail (for a minimization problem and the case of only one uplock):
 *
 * Given a variable x_i with c_i <= 0 and only one up lock (originating from a constraint c),
 * we are looking for a binary variable x_j such that:
 * 1) if x_j = 0, constraint c can only be fulfilled for x_i = lb_i, and
 * 2) if x_j = 1, constraint c becomes redundant and x_i can be dual-fixed to its upper bound ub_i
 * (or vice versa). Then we can perform the following aggregation: x_i = lb_i + x_j (ub_i - lb_i).
 *
 * Similar arguments apply for the case of only one down lock and c_i >= 0.
 */

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#ifndef __SCIP_PRESOL_DUALAGG_H__
#define __SCIP_PRESOL_DUALAGG_H__


#include "scip/scip.h"

#ifdef __cplusplus
extern "C" {
#endif

/** creates the dualagg presolver and includes it in SCIP */
extern
SCIP_RETCODE SCIPincludePresolDualagg(
   SCIP*                 scip                /**< SCIP data structure */
   );

#ifdef __cplusplus
}
#endif

#endif