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

Katsuhiro Nishinari·Minoru Fuku·Andreas Schadschneider
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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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Katsuhiro Nishinari, Minoru Fuku, Andreas Schadschneider. 2003-11-10. A stochastic cellular automaton model for traffic flow with multiple metastable states. https://doi.org/10.1088/0305-4470%2F37%2F9%2F003

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