Numerical Approximation of Continuous Traffic Congestion Equilibria
Résumé
Starting from a continuous congested traffic framework recently introduced by two of the authors together with C. Jimenez and generalizing Wardrop's approach on networks, 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.
Domaines
Optimisation et contrôle [math.OC]
Origine : Fichiers produits par l'(les) auteur(s)