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Numerical Approximation of Continuous Traffic Congestion Equilibria

dc.contributor.authorPeyré, Gabriel
HAL ID: 1211
dc.contributor.authorCarlier, Guillaume
dc.contributor.authorBenmansour, Fethallah
dc.contributor.authorSantambrogio, Filippo
dc.date.accessioned2009-07-09T09:40:18Z
dc.date.available2009-07-09T09:40:18Z
dc.date.issued2009
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/1021
dc.language.isoenen
dc.subjectTraffic congestion ; Wardrop equilibria ; Eikonal equation ; subgradient descent ; Fast Marching Methoden
dc.subject.ddc519en
dc.titleNumerical Approximation of Continuous Traffic Congestion Equilibriaen
dc.typeArticle accepté pour publication ou publiéen_US
dc.description.abstractenStarting from a continuous congested traffic framework recently introduced in [Carlier, Jimenez, Santambrogio, 2008], we present a consistent numerical scheme to compute equilibrium metrics. We show that equilibrium metric is the solution of a variational problem involving geodesic distances. Our discretization scheme is based on the Fast Marching Method. Convergence is proved via a $\Gamma$-convergence result and numerical results are given.en
dc.relation.isversionofjnlnameNetworks and Heterogeneous Media
dc.relation.isversionofjnlvol4en
dc.relation.isversionofjnlissue3en
dc.relation.isversionofjnldate2009
dc.relation.isversionofjnlpages605-623en
dc.relation.isversionofdoihttp://dx.doi.org/10.3934/nhm.2009.4.605en
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00360796/en/en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherAmerican institute of americal scienceen
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


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