Cellular automaton models and traffic flow

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.

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

References in corpus (1)

• Self Organization and a Dynamical Transition in Traffic Flow Models

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