Des explications pour reconnaître et exploiter les structures cachées d'un problème combinatoire
RAIRO - Operations Research - Recherche Opérationnelle, Volume 40 (2006) no. 4, pp. 381-401.

Explanations for identifying and exploiting structures within combinatorial problems. Identifying structure in a given combinatorial problem is often a key step for designing efficient search heuristics or for understanding the inherent complexity of the problem. Several Operations Research approaches apply decomposition or relaxation strategies upon such a structure identified within a given problem. The next step is to design algorithms that adaptively integrate that kind of information during search. We claim in this paper, inspired by previous work on impact-based search strategies for constraint programming, that using an explanation-based constraint solver may lead to collect invaluable information on the intimate dynamic and static structure of a problem instance.

L'identification de structures propres à un problème est souvent une étape clef pour la conception d'heuristiques de recherche comme pour la compréhension de la complexité du problème. De nombreuses approches en Recherche Opérationnelle emploient des stratégies de relaxation ou de décomposition dès lors que certaines struc- tures idoines ont été identifiées. L'étape suivante est la conception d'algorithmes de résolution qui puissent intégrer à la volée, pendant la résolution, ce type d'information. Cet article propose d'utiliser un solveur de contraintes à base d'explications pour collecter une information pertinente sur les structures dynamiques et statiques inhérentes au problème.

DOI: 10.1051/ro:2007004
Classification: 68T20, 68T99
Keywords: programmation par contraintes, explications
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Cambazard, Hadrien; Jussien, Narendra. Des explications pour reconnaître et exploiter les structures cachées d'un problème combinatoire. RAIRO - Operations Research - Recherche Opérationnelle, Volume 40 (2006) no. 4, pp. 381-401. doi : 10.1051/ro:2007004. http://archive.numdam.org/articles/10.1051/ro:2007004/

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