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Wardrop equilibria : rigorous derivation of continuous limits from general networks models

Hatchi, Roméo (2015), Wardrop equilibria : rigorous derivation of continuous limits from general networks models. https://basepub.dauphine.fr/handle/123456789/17094

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Type
Document de travail / Working paper
Date
2015
Series title
Cahier de recherche CEREMADE, Université Paris-Dauphine
Pages
43
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Author(s)
Hatchi, Roméo
Abstract (EN)
The concept of Wardrop equilibrium plays an important role in congested traffic problems since its introduction in the early 50's. As shown in [2], when we work in two-dimensional cartesian and increasingly dense networks, passing to the limit by Γ-convergence, we obtain continuous minimization problems posed on measures on curves. Here we study the case of general networks in R d which become very dense. We use the notion of generalized curves and extend the results of the cartesian model.
Subjects / Keywords
Γ-convergence; traffic congestion; Wardrop equilibrium; generalized curves