A 2-phase traffic model based on a speed bound
Analysis of PDEs
2009-09-16 v1
Abstract
We extend the classical LWR traffic model allowing different maximal speeds to different vehicles. Then, we add a uniform bound on the traffic speed. The result, presented in this paper, is a new macro- scopic model displaying 2 phases, based on a non-smooth 2x2 system of conservation laws. This model is compared with other models of the same type in the current literature, as well as with a kinetic one. Moreover, we establish a rigorous connection between a microscopic Follow-The-Leader model based on ordinary differential equations and this macroscopic continuum model.
Cite
@article{arxiv.0909.2735,
title = {A 2-phase traffic model based on a speed bound},
author = {Rinaldo M. Colombo and Francesca Marcellini and Michel Rascle},
journal= {arXiv preprint arXiv:0909.2735},
year = {2009}
}
Comments
19 pages, 12 figures