From discrete to continuous Wardrop equilibria
Carlier, Guillaume; Baillon, Jean-Bernard (2012), From discrete to continuous Wardrop equilibria, Networks and Heterogeneous Media, 7, 2, p. 219-241. http://dx.doi.org/10.3934/nhm.2012.7.219
Type
Article accepté pour publication ou publiéLien vers un document non conservé dans cette base
http://hal.archives-ouvertes.fr/hal-00637396/fr/Date
2012Nom de la revue
Networks and Heterogeneous MediaVolume
7Numéro
2Éditeur
American Institute of Mathematical Science
Pages
219-241
Identifiant publication
Métadonnées
Afficher la notice complèteRésumé (EN)
The 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.Mots-clés
traffic congestion; Wardrop equilibriaPublications associées
Affichage des éléments liés par titre et auteur.
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Santambrogio, Filippo; Carlier, Guillaume (2012) Article accepté pour publication ou publié
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Hatchi, Roméo (2015) Document de travail / Working paper
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Santambrogio, Filippo; Jimenez, Chloé; Carlier, Guillaume (2008) Article accepté pour publication ou publié
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Carlier, Guillaume; Blanchet, Adrien (2014) Article accepté pour publication ou publié
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Peyré, Gabriel; Carlier, Guillaume; Benmansour, Fethallah; Santambrogio, Filippo (2009) Article accepté pour publication ou publié