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From discrete to continuous Wardrop equilibria

dc.contributor.authorCarlier, Guillaume
dc.contributor.authorBaillon, Jean-Bernard
dc.date.accessioned2011-11-02T15:22:35Z
dc.date.available2011-11-02T15:22:35Z
dc.date.issued2012
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/7371
dc.language.isoenen
dc.subjecttraffic congestionen
dc.subjectWardrop equilibriaen
dc.subject.ddc515en
dc.titleFrom discrete to continuous Wardrop equilibriaen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherStatistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne) (SAMM) http://samm.univ-paris1.fr/ Université Panthéon-Sorbonne - Paris I;France
dc.description.abstractenThe notion of Wardrop equilibrium in congested networks has been very popular in congested traffic modelling since its introduction in the early 50's, it is also well-known that Wardrop equilibria may be obtained by some convex minimization problem. In this paper, in the framework of Γ-convergence theory, we analyze what happens when a cartesian network becomes very dense. The continuous model we obtain this way is very similar to the continuous model of optimal transport with congestion of Carlier, Jimenez and Santambrogio [6] except that it keeps track of the anisotropy of the network.en
dc.relation.isversionofjnlnameNetworks and Heterogeneous Media
dc.relation.isversionofjnlvol7
dc.relation.isversionofjnlissue2
dc.relation.isversionofjnldate2012
dc.relation.isversionofjnlpages219-241
dc.relation.isversionofdoihttp://dx.doi.org/10.3934/nhm.2012.7.219
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00637396/fr/en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherAmerican Institute of Mathematical Science
dc.subject.ddclabelanalyseen


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