Abstract
The Nagel-Schreckenberg model of traffic is modified by the assumption that each car has an individual velocity limit. By simulations, the effect of supplementary rules is checked: (a) a speed limit of the slowest car is changed and\(\slash\)or (b) a speed limit of a car with zero gap behind is increased . It is shown that both rules increase the mean velocity; (b) rule influences the character of congested traffic – cars move though at low velocity.
Chapter PDF
References
Chowdhury, D., Santen, L., Schadschneider, A.: Statistical physics of vehicular traffic and some related systems. Phys. Rep. 329, 199–329 (2000)
Helbing, D.: Traffic and related self-driven many-particle systems. Rev. Mod. Phys. 73, 1067–1141 (2001)
Nagel, K., Schreckenberg, M.: A cellular automaton model for freeway traffic. J. Phys. I France 2, 2221–2229 (1992)
Fukui, M., Ishibashi, Y.: Traffic flow in 1d cellular automaton model including cars moving with high speed. J. Phys. Soc. Jpn. 65, 1868–1870 (1996)
Knospe, W., Santen, L., Schadschneider, A., Schreckenberg, M.: An empirical test for cellular automaton models of traffic flow. Phys. Rev. E 70, 016115–1–016115–25 (2004)
Knospe, W., Santen, L., Schadschneider, A., Schreckenberg, M.: Towards a realistic microscopic description of highway traffic. J. Phys. A 33, L477–L485 (2000)
Brockfeld, E., Barlovic, R., Schadschneider, A., Schreckenberg, M.: Optimizing traffic lights in a cellular automaton model for city traffic. Phys. Rev. E 64, 056132 (2001)
Boccara, N., Fukś, H., Zeng, Q.: Car accidents and number of stopped cars due to road blockage on a one-lane highway. J. Phys. A 30, 3329–3332 (1997)
Moussa, N.: Car accidents in cellular automata models for one-lane traffic flow. Phys. Rev. E 68, 36127 (2003)
Ebersbach, A., Schneider, J., Morgenstern, I.: Simulation traffic on german highways based on the nagel-schekenberg-model. Int. J. Mod. Phys. C 12, 1081–1089 (2001)
Moussa, N.: Cellular automata for traffic flow with ”slow-to-start” rule: Effect of randomization. Int. J. Mod. Phys. C 15, 29–43 (2004)
Nakayama, A., Sugiyama, Y., Hasebe, K.: Effect of looking at the car that follows in an optimal velocity model of traffic flow. Phys. Rev. E 65, 016112–1–06112–6 (2001)
Xue, Y., Dong, L., Li, L., Dai, S.: Effects of changing ordres in the update rules on traffic flow. Phys. Rev. E 71, 026123–1–026123–6 (2005)
Bak, P., Tang, C., Wiesenfeld, K.: Self-organized criticality. Phys. Rev. A 38, 365–374 (1988)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Makowiec, D., Miklaszewski, W. (2006). Nagel-Schreckenberg Model of Traffic – Study of Diversity of Car Rules. In: Alexandrov, V.N., van Albada, G.D., Sloot, P.M.A., Dongarra, J. (eds) Computational Science – ICCS 2006. ICCS 2006. Lecture Notes in Computer Science, vol 3993. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11758532_36
Download citation
DOI: https://doi.org/10.1007/11758532_36
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-34383-7
Online ISBN: 978-3-540-34384-4
eBook Packages: Computer ScienceComputer Science (R0)