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arXiv · cond-mat/9306017

Cellular automaton models and traffic flow

A. Schadschneider·M. Schreckenberg
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Abstract

A recently introduced cellular automaton model for the description of traffic flow is investigated. It generalises asymmetric exclusion models which have attracted a lot of interest in the past. We calculate the so-called fundamental diagram (flow vs.\ density) for parallel dynamics using an improved mean-field approximation which takes into account short-range correlations. For maximum velocity 1 we find that the simplest non-trivial of these approximations gives already the exact result. For higher velocities our results are in excellent agreement with numerical data.

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A. Schadschneider, M. Schreckenberg. 1993-06-08. Cellular automaton models and traffic flow. https://doi.org/10.1088/0305-4470%2F26%2F15%2F011

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