Road Traffic Flow Considered as a Stochastic Process

Author:

Miller A. J.

Abstract

AbstractEquations 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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