From discrete to continuous Wardrop equilibria - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Networks and Heterogenous Media Année : 2012

From discrete to continuous Wardrop equilibria


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.
Fichier principal
Vignette du fichier
jbbgcoct2011.pdf (228 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00637396 , version 1 (01-11-2011)


  • HAL Id : hal-00637396 , version 1


Jean-Bernard Baillon, Guillaume Carlier. From discrete to continuous Wardrop equilibria. Networks and Heterogenous Media, 2012, 7 (2), pp.x-xx. ⟨hal-00637396⟩
240 Consultations
232 Téléchargements


Gmail Facebook Twitter LinkedIn More