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Spacing-Oriented Analytical Approach to a Middle Traffic Flow CA Model Between FI-Type and NS-Type

In: Traffic and Granular Flow’01

Author

Listed:
  • B.-H. Wang

    (University of Science and Technology of China, Department of Modern Physics and Nonlinear Science Center
    CCAST (World Laboratory))

  • D. Mao

    (University of Science and Technology of China, Department of Modern Physics and Nonlinear Science Center
    CCAST (World Laboratory))

  • L. Wang

    (Hong Kong Baptist University, Physics Department and Center for Nonlinear Studies)

  • P. M. Hui

    (The Chinese University of Hong Kong, Department of Physics)

Abstract

We propose and study a one-dimensional traffic flow cellular automaton (CA) model of high speed vehicles with rapid acceleration for all cars as in the FukuiIshibashi (FI) model and with stochastic delay applying only to the cars following the trail of the ahead car. The main difference comparing to the Nagel-Schreckenberg (NS) model is that a car with spacing ahead longer than the car velocity limit M is not delayed in the new model. By using a spacing-oriented mean field theory, we derive a set of equations describing the fundamental diagram, which gives the average speed as a function of the car density, for any high velocity limit M.Our theoretical results are in excellent agreement with numerical simulation.

Suggested Citation

  • B.-H. Wang & D. Mao & L. Wang & P. M. Hui, 2003. "Spacing-Oriented Analytical Approach to a Middle Traffic Flow CA Model Between FI-Type and NS-Type," Springer Books, in: Minoru Fukui & Yuki Sugiyama & Michael Schreckenberg & Dietrich E. Wolf (ed.), Traffic and Granular Flow’01, pages 51-63, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-10583-2_3
    DOI: 10.1007/978-3-662-10583-2_3
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