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dc.contributor.authorCarlier, Guillaume
dc.contributor.authorLachapelle, Aimé
dc.date.accessioned2010-11-30T14:40:23Z
dc.date.available2010-11-30T14:40:23Z
dc.date.issued2011
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/5213
dc.language.isoenen
dc.subjectCalculus of variationsen
dc.subjectOptimal transporten
dc.subject.ddc519en
dc.titleA Planning Problem Combining Calculus of Variations and Optimal Transporten
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe consider some variants of the classical optimal transport where not only one optimizes over couplings between some variables x and y but also over some control variables governing the evolutions of these variables with time. Such a situation is motivated by an assignment problem of tasks with workers whose characteristics can evolve with time (and be controlled). We distinguish between the coupled and decoupled case. The coupled case is a standard optimal transport with the value of some optimal control problem as cost. The decoupled case is more involved since it is nonlinear in the transport plan.en
dc.relation.isversionofjnlnameApplied Mathematics and Optimization
dc.relation.isversionofjnlvol63
dc.relation.isversionofjnlissue1
dc.relation.isversionofjnldate2011
dc.relation.isversionofjnlpages1-9
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s00245-010-9107-8en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


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