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A stochastic model for highway traffic

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  • Karmeshu
  • Pathria, R. K.

Abstract

A nonlinear model for unidirectional flow of heavy traffic on a two-lane highway is considered. Features such as entrance, exit and lane transfer with time-dependent parameters are incorporated into the model, with the result that a number of previous models employed in the study of traffic flow become special cases of ours. Using the method of system-size expansion, an asymptotic analysis of the problem, including the time evolution of both deterministic and stochastic aspects of the traffic system, is carried out. In addition, a scheme for obtaining the moments of the probability distribution for systems of finite size is developed and a comparison is made with the exact results appropriate to a particular model. The agreement between the two sets of results turns out to be remarkably good.

Suggested Citation

  • Karmeshu & Pathria, R. K., 1981. "A stochastic model for highway traffic," Transportation Research Part B: Methodological, Elsevier, vol. 15(4), pages 285-294, August.
    • Handle: RePEc:eee:transb:v:15:y:1981:i:4:p:285-294
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    Cited by:

    1. Jabari, Saif Eddin & Liu, Henry X., 2013. "A stochastic model of traffic flow: Gaussian approximation and estimation," Transportation Research Part B: Methodological, Elsevier, vol. 47(C), pages 15-41.

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