first recall a macroscopic model with two equations, that we have introduced in [l], and which completely resolves the severe inconsistencies of the class of Payne-Whitham models. In this short paper, we describe the effects of adding a relaxation term in the anticipation equation, and the main step
The formation and structure of vehicle clusters in the Payne–Whitham traffic flow model
✍ Scribed by W.L. Jin; H.M. Zhang
- Book ID
- 117397239
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 826 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0191-2615
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## Abstract This paper firstly presents the existence and uniqueness properties of the intersection time between two neighboring shocks or between a shock and a characteristic for the analytical shock‐fitting algorithm that was proposed to solve the Lighthill–Whitham–Richards (LWR) traffic flow mod
We carried out computer simulations to study the green wave model (GWM), the parallel updating version of the two-dimensional traffic model of Biham et al. The better convergence properties of the GWM together with a multi-spin coding technique enabled us to extrapolate to the infinite system size w