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A stochastic cellular automaton model for traffic flow with multiple metastable states

2004/02/18 by Katsuhiro Nishinari, Minoru Fukui, Andreas Schadschneider
Engineering · Social Sciences · #Traffic Prediction and Management Techniques #Traffic control and management #Transportation Planning and Optimization

paper · doi:10.1088/0305-4470/37/9/003

openalex publication_date 2004/02/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

A new stochastic cellular automaton (CA) model of traffic flow, which includes slow-to-start effects and a driver's perspective, is proposed by extending the Burgers CA and the Nagel–Schreckenberg CA model. The flow–density relation of this model shows multiple metastable branches near the transition density from free to congested traffic, which form a wide scattering area in the fundamental diagram. The stability of these branches and their velocity distributions are explicitly studied by numerical simulations.

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