J. Phys. I France
Volume 2, Numéro 12, December 1992
Page(s) 2221 - 2229
DOI: 10.1051/jp1:1992277
J. Phys. I France 2 (1992) 2221-2229

A cellular automaton model for freeway traffic

Kai Nagel1 and Michael Schreckenberg2

1  Mathematisches Institut, Universität zu Köln, Weyertal 86-90, W-5000 Köln 41, Germany
2  Institut für Theoretische Physik, Universität zu Köln, Zülpicher Str. 77, W-5000 Köln 41, Germany

(Received 3 September 1992, accepted 10 September 1992)

We introduce a stochastic discrete automaton model to freeway traffic. Monte-Carlo simulations of the model show a transition from laminar traffic flow to start-stop-waves with increasing vehicle density, as is observed in real freeway traffic. For special cases analytical results can be obtained.

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