Cellular automation models and traffic flow 论文
1993Journal of Physics A Mathematical and General引用 261
Stochastic processes and statistical mechanicsCellular Automata and ApplicationsTheoretical and Computational Physics
摘要
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.