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A 2-PHASE TRAFFIC MODEL BASED ON A SPEED BOUND.
- Source :
-
SIAM Journal on Applied Mathematics . 2010, Vol. 70 Issue 7, p2652-2666. 15p. - Publication Year :
- 2010
-
Abstract
- We extend the classical Lighthill–Whitham–Richards (LWR) traffic model allowing different maximal speeds for different vehicles. Then we add a uniform bound on the traffic speed. The result, presented in this paper, is a new macroscopic model displaying two phases based on a nonsmooth 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00361399
- Volume :
- 70
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 72567945
- Full Text :
- https://doi.org/10.1137/090752468