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Pré-Publication, Document De Travail Année : 2008

Numerical Approximation of Continuous Traffic Congestion Equilibria

Résumé

Starting from a continuous congested traffic framework recently introduced in \cite{cjs}, 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 and numerical results are given.
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Dates et versions

hal-00360796 , version 1 (12-02-2009)
hal-00360796 , version 2 (19-05-2009)

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  • HAL Id : hal-00360796 , version 1

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Fethallah Benmansour, Guillaume Carlier, Gabriel Peyré, Filippo Santambrogio. Numerical Approximation of Continuous Traffic Congestion Equilibria. 2008. ⟨hal-00360796v1⟩
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