Citation

Mayne AJ. Biometrika 1954; 41(3-4): 375-389.

Copyright

(Copyright © 1954, Biometrika Trust, Publisher Oxford University Press)

DOI

10.1093/biomet/41.3-4.375

PMID

unavailable

Abstract

Whereas previous investigators (eg. Tanner) considered the case where pedestrians and cars arrive at a crossing completely at random, Mayne has generalized the analysis to the case where the time intervals between successive arrivals have a given distribution, any two such intervals being independently distributed. Tanner's results follow for the special case when the interval distributions are negative exponential, which occurs when there is a random flow of traffic. The size of groups of pedestrians on an island between two lanes of traffic is also considered. The effect of the presence of islands on pedestrian delay is discussed. And it is shown that, under certain conditions, the "efficiency" in two specially defined sesnses can be increased by a factor of at least r squared, by the introduction of (r - 1) islands suitably spaced in the middle of the road. Finally, the results are given of an examination of some empirical traffic data.

Language: en