The Nagel-Schreckenberg model revisited

Details The Nagel-Schreckenberg model revisited The Nagel-Schreckenberg model revisited

1999-02-11

arxiv.org/abs/cond-mat/9902170v1

Physics

Condensed Matter

Statistical Mechanics

11 pages LATEX (EPJ style) including 11 figures accepted for publication in EPJ B

Scientific paper

10.1007/s100510050888

The Nagel-Schreckenberg model is a simple cellular automaton for a realistic description of single-lane traffic on highways. For the case $v_{max}=1$ the properties of the stationary state can be obtained exactly. For the more relevant case $v_{max}>1$, however, one has to rely on Monte Carlo simulations or approximative methods. Here we study several analytical approximations and compare with the results of computer simulations. The role of the braking parameter $p$ is emphasized. It is shown how the local structure of the stationary state depends on the value of $p$. This is done by combining the results of computer simulations with those of the approximative methods.

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