From discrete to continuous Wardrop equilibria

Abstract : 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.
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Networks and Heterogenous Media, 2012, 7 (2), pp.x-xx
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Jean-Bernard Baillon, Guillaume Carlier. From discrete to continuous Wardrop equilibria. Networks and Heterogenous Media, 2012, 7 (2), pp.x-xx. 〈hal-00637396〉

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