Abstract
Cellular automata models play an important role in traffic modeling. For some variants of the Nagel-Schreckenberg model, the effects of traffic light boundary conditions are considered. Based on previous results, the exact density profiles can be derived easily for deterministic dynamics. Additionally, the exact average outflow per traffic light cycle is presented not only in the deterministic case, but also for an important semi-stochastic variant with slow-to-start behaviour. Thereby, the models are strongly related to the well-known totally asymmetric simple exclusion process (TASEP) which can be regarded as a generic model for many driven particle systems.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
K. Nagel, M. Schreckenberg, J. Phys. I France 2, 2221 (1992)
E. Brockfeld, R. Barlovic, A. Schadschneider, M. Schreckenberg, Phys. Rev. E 64, 056132 (2001)
D.W. Huang, W.N. Huang, Phys. Rev. E 67, (056124) (2003)
D.W. Huang, W.N. Huang, Int. J. Mod. Phys. C 14, 539 (2003)
G. Schütz, E. Domany, J. Stat. Phys. 72, 277 (1993)
V. Popkov, M. Salerno, G.M. Schütz, Phys. Rev. E 78, (011122) (2008)
S. Maerivoet, B. de Moor, Phys. Rep. 419, 1 (2005)
D. Helbing, Rev. Mod. Phys. 73, 1067 (2001)
R. Barlovic, L. Santen, A. Schadschneider, M. Schreckenberg, Eur. Phys. J. B 5, 793 (1998)
T. Neumann, P. Wagner, Eur. Phys. J. B 63, 255 (2008)
J.G. Wardrop, Proceedings of the Institution of Civil Engineers, Part II 1, 325 (1952)
T. Neumann, in Proceedings of the International Workshop on Traffic data Collection & its Standardization, September 8/9, Barcelona, CD-ROM (2008)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Neumann, T. TASEP related models with traffic light boundary. Eur. Phys. J. B 67, 133–138 (2009). https://doi.org/10.1140/epjb/e2009-00010-2
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjb/e2009-00010-2