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SIAMAM
2010

A 2-Phase Traffic Model Based on a Speed Bound

9 years 23 days ago
A 2-Phase Traffic Model Based on a Speed Bound
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 macroscopic model displaying 2 phases, based on a non-smooth 2 × 2 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. Key words. Continuum Traffic Models, 2-Phase Traffic Models, Second Order Traffic Models AMS subject classifications. 35L65, 90B20
Rinaldo M. Colombo, Francesca Marcellini, Michel R
Added 30 Jan 2011
Updated 30 Jan 2011
Type Journal
Year 2010
Where SIAMAM
Authors Rinaldo M. Colombo, Francesca Marcellini, Michel Rascle
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