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The Probability Distribution of Inter-car Spacings

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Complex Sciences (Complex 2009)

Abstract

In this paper, the celluar automation model with Fukui-Ishibashi-type acceleration rule is used to study the inter-car spacing distribution for traffic flow. The method used in complex network analysis is applied to study the spacings distribution. By theoretical analysis, we obtain the result that the distribution of inter-car spacings follows power law when vehicle density is low and spacing is not large, while, when the vehicle density is high or the spacing is large, the distribution can be described by exponential distribution. Moreover, the numerical simulations support the theoretical result.

This research was supported by National Nature Science Foundation of China (10531070).

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References

  1. Nagel, k., Schreckenberg, M.J.: Phys. I 2, 2882 (1993)

    Google Scholar 

  2. Fukui, M., Ishibashi, Y.: Traffic flow in 1D cellular automaton model including cars moving with high speed. J. Phys. Soc. Jpn 65(6), 1868–1870 (1996)

    Article  Google Scholar 

  3. Fu, C.-J., Wang, B.-H., et al.: Analytical studies on a modeified Nagel-Schrechenberg model with the Fukui-Ishibashi Acceleration rule. Elsevier Chaos solitons and Fractals 31, 772–776 (2007)

    Article  Google Scholar 

  4. Ke-Ping, L.: Scale-Free Properties in Traffic System Commun. Theor. Phys. (Beijing China) 46(2), 374–380 (2006)

    Article  Google Scholar 

  5. Réka, Barabási, A.-L.: Statistical mechanics of complex network. Reviws of modern physics 74 (January 2002)

    Google Scholar 

  6. Dorogovtsev, S.N., Mendes, J.F.F., Samukhin, A.N.: Structure of growth networks with preferential linking. Phys. Rev. Lett. 85, 4633–4636 (2000)

    Article  Google Scholar 

  7. Krapivsky, P.L., Redner, S., And Leyvraz, F.: Connectivity of growing random networks. Phys. Rev. Lett. 85, 4629–4632 (2000)

    Article  Google Scholar 

  8. Fourrate, K., Loulidi, M.: Disordered Cellar automata traffic flow models. M. J. Condensed Matter 5(2), 151–155 (2004)

    Google Scholar 

  9. Sasvari, M., Kertesz, J.: Cellular automata models of single lane traffic. Physical Review E 56(4), 4104–4110 (1997)

    Article  Google Scholar 

  10. Wolfram, S.: Cellular Automata and Complexity. Addison-Wesley Publishing Company, Baltimore (1994)

    MATH  Google Scholar 

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© 2009 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering

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Xian, J.G., Han, D. (2009). The Probability Distribution of Inter-car Spacings. In: Zhou, J. (eds) Complex Sciences. Complex 2009. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02466-5_52

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  • DOI: https://doi.org/10.1007/978-3-642-02466-5_52

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02465-8

  • Online ISBN: 978-3-642-02466-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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