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

Roméo Hatchi

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arXiv · 1506.08960

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

Roméo Hatchi

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Abstract

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 {\Gamma}-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.

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Roméo Hatchi. 2015-06-30. Wardrop equilibria : rigorous derivation of continuous limits from general networks models. https://arxiv.org/abs/1506.08960

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