Stochastic Description of Traffic Breakdown: Langevin Approach

R. Mahnke (), J. Kaupužs and J. Tolmacheva
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R. Mahnke: Fachbereich Physik
J. Kaupužs: Institute of Mathematics and Computer Science
J. Tolmacheva: NASU, Institute of Single Crystals

A chapter in Traffic and Granular Flow ’03, 2005, pp 205-210 from Springer

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.

Keywords: transportation science; noise; phase diagram (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-28091-0_17

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DOI: 10.1007/3-540-28091-X_17

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