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Stochastic Description of Traffic Breakdown: Langevin Approach

In: Traffic and Granular Flow ’03

Author

Listed:
  • R. Mahnke

    (Fachbereich Physik)

  • J. Kaupužs

    (Institute of Mathematics and Computer Science)

  • J. Tolmacheva

    (NASU, Institute of Single Crystals)

Abstract

Summary From probabilistic point of view we investigate a quite classical dynamical system given by stochastic differential equations, i. e. ordinary differential equations driven by multiplicative noise. Based on this Langevin approach the probability density distributions of vehicular velocities as well as headway distances are calculated and discussed. Our work is a continuation of a stochastic theory of freeway traffic based on a Master equation approach presented first at Traffic and Granular Flow '97 as the one—cluster model. The extension to our multi—cluster model can be found at Traffic and Granular Flow ’99.

Suggested Citation

  • R. Mahnke & J. Kaupužs & J. Tolmacheva, 2005. "Stochastic Description of Traffic Breakdown: Langevin Approach," Springer Books, in: Serge P. Hoogendoorn & Stefan Luding & Piet H. L. Bovy & Michael Schreckenberg & Dietrich E. Wolf (ed.), Traffic and Granular Flow ’03, pages 205-210, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-28091-0_17
    DOI: 10.1007/3-540-28091-X_17
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