Statistical properties of low-density traffic

Authors:
George Weiss and Robert Herman

Journal:
Quart. Appl. Math. **20** (1962), 121-130

MSC:
Primary 90.30

DOI:
https://doi.org/10.1090/qam/145991

MathSciNet review:
145991

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Abstract | References | Similar Articles | Additional Information

Abstract: This paper considers an infinitely long line of traffic moving on a highway without traffic lights or other inhomogeneities. It is assumed that each car travels at a constant speed which is a random variable. A further assumption is that when one car overtakes another, passing is always possible and occurs without change of speed. it is shown that any initial headway distribution must relax to a negative exponential distribution in the limit of becoming infinite. The statistics of passing events are examined, and it is shown that the probability of passing (or being passed by) cars In time is described by a Poisson distribution.

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Additional Information

DOI:
https://doi.org/10.1090/qam/145991

Article copyright:
© Copyright 1962
American Mathematical Society