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A cellular automaton model for freeway traffic

HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. | HAL archives-ouvertes f A cellular automaton model for freeway traffic Kai Nagel Michael Schreckenberg To cite this version Kai Nagel Michael Schreckenberg. A cellular automaton model for freeway traffic. Journal de Physique I EDP Sciences 1992 2 12 pp.2221-2229. 10.1051 jp1 1992277 . jpa-00246697 HAL Id jpa-00246697 https hal.archives-ouvertes.fr jpa-00246697 Submitted on 1 Jan 1992 HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents whether they are published or not. The documents may come from teaching and research institutions in France or abroad or from public or private research centers. L archive ouverte pluridisciplinaire HAL est destinée au depot et à la diffusion de documents scientifiques de niveau recherche publies ou non émanant des établissements d enseignement et de recherche francais ou etrangers des laboratoires publics ou prives. J. Phys. I France 2 1992 2221-2229 DECEMBER 1992 PAGE 2221 Classification Physics Abstracts 02.50 02.70 03.40G A cellular automaton model for freeway traffic Kai Nage 1 and Michael Schreckenberg 2 Mathematisches Institut Universitãt ZU Kõln Weyertal 86-90 W-5000 Kõln 41 Germany 2 Institut fiir Theoretische Physik Universităt ZU Kõln Ziilpicher Str. 77 W-5000 Kõln 41 Germany Received 3 September 1992 accepted 10 September 1992 Abstract. We introduce a stochastic discrete automaton model to simulate 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. 1. Introduction. Fluid-dynamical approaches to traffic flow have been developed since the 1950 s 1 . In recent times the methods of nonlinear dynamics were succesfully applied to these models stressing the notion of a phase transition from laminar flow to start-stop-waves with increasing car density 2 . Automatic detection of .