On the Statistical Distribution Function Theory of Traffic Flow

Robert L. Anderson, Robert Herman and I. Prigogine
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Robert L. Anderson: Research Laboratories, General Motors Corporation, Warren, Michigan
Robert Herman: Research Laboratories, General Motors Corporation, Warren, Michigan
I. Prigogine: Universite Libre of Brussels, Brussels, Belgium

Operations Research, 1962, vol. 10, issue 2, 180-196

Abstract: The homogeneous time-independent solution for a one-car speed distribution function is derived for a Boltzmann-like approach to the statistical theory of traffic flow. Numerical results are discussed for a number of different desired speed-distribution functions. Among these distribution functions, chosen for mathematical simplicity are, for example, the exponential, linear, and parabolic. Flow versus concentration curves and distribution function versus speed curves are given for several of the models.

Date: 1962
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Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:10:y:1962:i:2:p:180-196

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