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A family of multi-value cellular automaton model for traffic flow

Katsuhiro Nishinari·Daisuke Takahashi
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Abstract

A family of multi-value cellular automaton (CA) associated with traffic flow is presented in this paper. The family is obtained by extending the rule-184 CA, which is an ultradiscrete analogue to the Burgers equation. CA models in the family show both metastable states and stop-and-go waves, which are often observed in real traffic flow. Metastable states in the models exist not only on a prominent part of a free phase but also in a congested phase.

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Katsuhiro Nishinari, Daisuke Takahashi. 2000-02-08. A family of multi-value cellular automaton model for traffic flow. https://arxiv.org/abs/nlin/0002007

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