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

• Type: Journal
• Year: 2010
• Where: SIAMAM
• Authors: Rinaldo M. Colombo, Francesca Marcellini, Michel Rascle
• Keywords: LWR Traffic Model, Macroscopic Continuum Model, SIAMAM 2010, Traffic Models