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2    	/*                                                                           */
3    	/*                  This file is part of the program and library             */
4    	/*         SCIP --- Solving Constraint Integer Programs                      */
5    	/*                                                                           */
6    	/*  Copyright (c) 2002-2023 Zuse Institute Berlin (ZIB)                      */
7    	/*                                                                           */
8    	/*  Licensed under the Apache License, Version 2.0 (the "License");          */
9    	/*  you may not use this file except in compliance with the License.         */
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11   	/*                                                                           */
12   	/*      http://www.apache.org/licenses/LICENSE-2.0                           */
13   	/*                                                                           */
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15   	/*  distributed under the License is distributed on an "AS IS" BASIS,        */
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18   	/*  limitations under the License.                                           */
19   	/*                                                                           */
20   	/*  You should have received a copy of the Apache-2.0 license                */
21   	/*  along with SCIP; see the file LICENSE. If not visit scipopt.org.         */
22   	/*                                                                           */
23   	/* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */
24   	
25   	/**@file   branch_mostinf.h
26   	 * @ingroup BRANCHINGRULES
27   	 * @brief  most infeasible LP branching rule
28   	 * @author Tobias Achterberg
29   	 *
30   	 * The most infeasible branching rule selects a candidate variable $j$ with fractional solution value \f$ \hat{x}_j\f$
31   	 * which maximizes
32   	 * \f[
33   	 *      \min \left\{ \lceil \hat{x}_j \rceil - \hat{x}_j, \hat{x}_j - \lfloor \hat{x}_j \rfloor  \right\}.
34   	 * \f]
35   	 * i. e., a variable which still is farthest from taking an integer value among all branching candidates.
36   	 *
37   	 * The most infeasible branching rule and many other branching rules of SCIP are explained and compared in
38   	 *
39   	 * @par
40   	 * Tobias Achterberg@n
41   	 * Constraint Integer Programming@n
42   	 * PhD Thesis, Technische Universität Berlin, 2007@n
43   	 *
44   	 */
45   	
46   	/*---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8----+----9----+----0----+----1----+----2*/
47   	
48   	#ifndef __SCIP_BRANCH_MOSTINF_H__
49   	#define __SCIP_BRANCH_MOSTINF_H__
50   	
51   	
52   	#include "scip/def.h"
53   	#include "scip/type_retcode.h"
54   	#include "scip/type_scip.h"
55   	
56   	#ifdef __cplusplus
57   	extern "C" {
58   	#endif
59   	
60   	/** creates the most infeasible LP branching rule and includes it in SCIP
61   	 *
62   	 *  @ingroup BranchingRuleIncludes
63   	 */
64   	SCIP_EXPORT
65   	SCIP_RETCODE SCIPincludeBranchruleMostinf(
66   	   SCIP*                 scip                /**< SCIP data structure */
67   	   );
68   	
69   	#ifdef __cplusplus
70   	}
71   	#endif
72   	
73   	#endif
74