heur_dps.h

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/**@file   heur_dps.h
 * @ingroup PRIMALHEURISTICS
 * @brief  dynamic partition search
 * @author Katrin Halbig
 *
 * The dynamic partition search (DPS) is a construction heuristic which additionally needs a
 * user decomposition with linking constraints only.
 *
 * This heuristic splits the problem into several sub-SCIPs according to the given decomposition. Thereby the linking constraints
 * with their right-hand and left-hand sides are also split. DPS searches for a partition of the sides on the blocks
 * so that a feasible solution is obtained.
 * For each block the parts of the original linking constraints are extended by slack variables. Moreover, the objective function
 * is replaced by the sum of these additional variables weighted by penalty parameters lambda. If all blocks have an optimal solution
 * of zero, the algorithm terminates with a feasible solution for the main problem. Otherwise, the partition and the penalty parameters
 * are updated, and the sub-SCIPs are solved again.
 *
 * A detailed description can be found in
 * K. Halbig, A. Göß and D. Weninger (2023). Exploiting user-supplied Decompositions inside Heuristics. https://optimization-online.org/?p=23386
 */

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#ifndef __SCIP_HEUR_DPS_H__
#define __SCIP_HEUR_DPS_H__


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

#ifdef __cplusplus
extern "C" {
#endif

/** creates the dps primal heuristic and includes it in SCIP
 *
 *  @ingroup PrimalHeuristicIncludes
 */
SCIP_EXPORT
SCIP_RETCODE SCIPincludeHeurDps(
   SCIP*                 scip                /**< SCIP data structure */
   );

#ifdef __cplusplus
}
#endif

#endif