Cellular automaton models and traffic flow

Details Cellular automaton models and traffic flow Cellular automaton models and traffic flow

1993-06-08

arxiv.org/abs/cond-mat/9306017v1

J. Phys. A26, L679 (1993)

Physics

Condensed Matter

7 pages (latex), 3 PostScript figures appended, preprint cologne-93-4711

Scientific paper

10.1088/0305-4470/26/15/011

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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