Resolution Search and Dynamic Branch-and-Bound

被引:0
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作者
Saïd Hanafi
Fred Glover
机构
[1] Université de Valenciennes et du Hainaut-Cambrésis,Unité de Recherche Opérationnelle et d'Aide à la Décision
[2] Le Mont Houy,Hearin Center for Enterprise Science, School of Business Administration
[3] University of Mississippi,undefined
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关键词
branch-and-bound; dynamic branch-and-bound; resolution search; mixed integer programming;
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摘要
A novel approach to pure 0-1 integer programming problems called Resolution Search has been proposed by Chvatal (Discrete Applied Mathematics, vol. 73, pp. 81–99, 1997) as an alternative to implicit enumeration, with a demonstration that the method can yield more effective branching strategies. We show that an earlier method called Dynamic Branch-and-Bound (B&B) yields the same branching strategies as Resolution Search, and other strategic alternatives in addition. Moreover, Dynamic B&B is not restricted to pure 0-1 problems, but applies to general mixed integer programs containing both general integer and continuous variables.
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页码:401 / 423
页数:22
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