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dc.contributor.authorGaland, Lucie
dc.contributor.authorPerny, Patrice
dc.contributor.authorSpanjaard, Olivier
dc.date.accessioned2011-04-28T09:56:30Z
dc.date.available2011-04-28T09:56:30Z
dc.date.issued2010
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6082
dc.language.isoenen
dc.subjectBranch and bound
dc.subjectMinimal spanning tree problem
dc.subjectMulticriteria combinatorial optimization
dc.subjectChoquet integral
dc.subjectKnapsack problem
dc.subject.ddc003en
dc.titleA Branch and Bound Algorithm for Choquet Optimization in Multicriteria Problems
dc.typeCommunication / Conférence
dc.description.abstractenThis paper is devoted to the search for Choquet-optimal solutions in multicriteria combinatorial optimization with application to spanning tree problems and knapsack problems. After recalling basic notions concerning the use of Choquet integrals for preference aggregation, we present a condition (named preference for interior points) that characterizes preferences favoring well-balanced solutions, a natural attitude in multicriteria optimization. When using a Choquet integral as preference model, this condition amounts to choosing a submodular (resp. supermodular) capacity when criteria have to be minimized (resp. maximized). Under this assumption, we investigate the determination of Choquet-optimal solutions in the multicriteria spanning tree problem and the multicriteria 0-1 knapsack problem. For both problems, we introduce a linear bound for the Choquet integral, computable in polynomial time, and propose a branch and bound procedure using this bound. We provide numerical experiments that show the actual efficiency of the algorithms on various instances of different sizes.
dc.identifier.citationpages389
dc.relation.ispartoftitleMultiple Criteria Decision Making for Sustainable Energy and Transportation Systems Proceedings of the 19th International Conference on Multiple Criteria Decision Making, Auckland, New Zealand, 7th - 12th January 2008
dc.relation.ispartofeditorWallenius, Jyrki
dc.relation.ispartofpublnameSpringer
dc.relation.ispartofpublcityBerlin Heidelberg
dc.relation.ispartofdate2010
dc.description.sponsorshipprivateouien
dc.subject.ddclabelRecherche opérationnelleen
dc.relation.ispartofisbn978-3-642-04044-3
dc.relation.confcountryNEW ZEALAND
dc.description.ssrncandidatenon
dc.description.halcandidateoui
dc.description.readershiprecherche
dc.description.audienceInternational
dc.date.updated2016-09-09T16:22:38Z


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