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hal.structure.identifierDepartment of Mathematical Sciences
dc.contributor.authorBELOTTI, Pietro
hal.structure.identifierEcole Nationale de l'Aviation Civile [ENAC]
dc.contributor.authorCAFIERI, Sonia
hal.structure.identifierDepartment of Mathematical Sciences
dc.contributor.authorLEE, Jon
hal.structure.identifierLaboratoire d'informatique de l'École polytechnique [Palaiseau] [LIX]
dc.contributor.authorLIBERTI, Leo
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorMILLER, Andrew
dc.date.accessioned2024-04-04T02:19:53Z
dc.date.available2024-04-04T02:19:53Z
dc.date.issued2011-12-01
dc.date.conference2011-12-01
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189443
dc.description.abstractEnWithin the framework of the spatial Branch-and-Bound algorithm for solving Mixed-Integer Nonlinear Programs, different convex relaxations can be obtained for multilinear terms by applying associativity in different ways. The two groupings ((x1x2)x3)x4 and (x1x2x3)x4 of a quadrilinear term, for example, give rise to two different convex relaxations. In [6] we prove that having fewer groupings of longer terms yields tighter convex relaxations. In this paper we give an alternative proof of the same fact and perform a computational study to assess the impact of the tightened convex relaxation in a spatial Branch-and-Bound setting.
dc.language.isoen
dc.source.titleInternational Conference on Optimization, Simulation and Control Proceedings
dc.title.enOn the composition of convex envelopes for quadrilinear terms
dc.typeCommunication dans un congrès
dc.subject.halMathématiques [math]/Optimisation et contrôle [math.OC]
bordeaux.pagepp xxxx
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.conference.titleCOSC 2011, International Conference on Optimization, Simulation and Control
bordeaux.countryDE
bordeaux.title.proceedingInternational Conference on Optimization, Simulation and Control Proceedings
bordeaux.conference.cityBerlin
bordeaux.peerReviewedoui
hal.identifierhal-00941976
hal.version1
hal.invitednon
hal.proceedingsoui
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00941976v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.btitle=International%20Conference%20on%20Optimization,%20Simulation%20and%20Control%20Proceedings&rft.date=2011-12-01&rft.spage=pp%20xxxx&rft.epage=pp%20xxxx&rft.au=BELOTTI,%20Pietro&CAFIERI,%20Sonia&LEE,%20Jon&LIBERTI,%20Leo&MILLER,%20Andrew&rft.genre=unknown


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