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Road Traffic Flow Considered as a Stochastic Process

Published online by Cambridge University Press:  24 October 2008

A. J. Miller
A. J. Miller
Affiliation:
University CollegeLondon
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Abstract

Equations are derived for the process of catching-up and overtaking which occurs in one lane of traffic for a model in which vehicles travel in random bunches and overtake at random times. The model allows vehicle velocities to be distributed and allows for several vehicles at a time to overtake. At first only stationary states are considered, that is states in which the rate of catching-up equals, on average, the rate of overtaking.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 58 , Issue 2 , April 1962 , pp. 312 - 325
Copyright
Copyright © Cambridge Philosophical Society 1962

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References

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