Wardrop equilibria : rigorous derivation of continuous limits from general networks models
Optimization and Control
2015-07-01 v1 Analysis of PDEs
Numerical Analysis
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.
Keywords
Cite
@article{arxiv.1506.08960,
title = {Wardrop equilibria : rigorous derivation of continuous limits from general networks models},
author = {Roméo Hatchi},
journal= {arXiv preprint arXiv:1506.08960},
year = {2015}
}