A Note on a Traffic Counting Distribution

Abstract

In this paper the author formulates and derives a discrete traffic counting distribution and a passing rule which lead to bunches of zero or one “fast” vehicle behind a “slow” vehicle. “Slow” vehicles are distributed in a Poisson fashion and, except for those instants at which passing occurs, the constrained or “fast” vehicles follow immediately behind a “slow” one. The counting distribution is a simple example of one in which successive inter-vehicle spacings have the Markov property.

^†This research has been partially supported by the Institute of Transportation and Traffic Engineering and the Office of Naval Research under Contract Nonr-222(83) with the University of California, Berkeley.

^†This research has been partially supported by the Institute of Transportation and Traffic Engineering and the Office of Naval Research under Contract Nonr-222(83) with the University of California, Berkeley.