A 2-phase traffic model based on a speed bound

Details A 2-phase traffic model based on a speed bound A 2-phase traffic model based on a speed bound

2009-09-15

arxiv.org/abs/0909.2735v1

Mathematics

Analysis of PDEs

19 pages, 12 figures

Scientific paper

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.

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