Combining Resolution Search and Dynamic Programming for the 0-1 Multidimensional Knapsack Problem

Autor: Vasquez, Michel, Boussier, Sylvain, Hanafi, Said, Vimont, Yannick, Wilbaut, Christophe
Přispěvatelé: Laboratoire de Génie Informatique et Ingénierie de Production (LGI2P), IMT - MINES ALES (IMT - MINES ALES), Institut Mines-Télécom [Paris] (IMT)-Institut Mines-Télécom [Paris] (IMT), Laboratoire Informatique d'Avignon (LIA), Avignon Université (AU)-Centre d'Enseignement et de Recherche en Informatique - CERI, Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201 (LAMIH), Université de Valenciennes et du Hainaut-Cambrésis (UVHC)-Centre National de la Recherche Scientifique (CNRS)-INSA Institut National des Sciences Appliquées Hauts-de-France (INSA Hauts-De-France)
Jazyk: angličtina
Rok vydání: 2011
Předmět:
Zdroj: IFORS 2011-International Federation of Operational Research Societies
International Federation of Operational Research Societies
International Federation of Operational Research Societies, Jul 2011, Australia
Popis: International audience; We propose an exact method which combines resolution search, branch and bound, and dynamic programming algorithm for solving the 0-1 Multidimensional Knapsack Problem. Our method is a multi-level search strategy where the top level branches of the search tree are enumerated using Resolution Search, the middle level branches are enumerated using Branch & Bound and the lower level branches are solved with dynamic programming. The proposed algorithm is competitive with the existing heuristics in terms of convergence and is able to prove large-scale strong correlated instances of the OR-Library
Databáze: OpenAIRE