%0 Journal Article
%T A 2-phase traffic model based on a speed bound
%A Rinaldo M. Colombo
%A Francesca Marcellini
%A Michel Rascle
%J Mathematics
%D 2009
%I arXiv
%X 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.
%U http://arxiv.org/abs/0909.2735v1