Citation

Tanner JC. Biometrika 1951; 38(3-4): 383-392.

Copyright

(Copyright © 1951, Biometrika Trust, Publisher Oxford University Press)

DOI

10.1093/biomet/38.3-4.383

PMID

unavailable

Abstract

A pedestrian is waiting to cross a road. Vehicles and pedestrians arrive randomly and independently of each other. Tanner examines the distibution of the number of pedestrians waiting at a random time and when a random vehicle passes, the number of pedestrians crossing immediately after a random vehicle has passed, and the number in the group of pedestrians crossing together.

RESULTS are obtained for the case where pedestrians arrive in independent groups for which the group size distribution is known. The results of various crossing strategies, when vehicular flow is two-way, are treated. The effects of treating the gap necessary for crossing as a random variable are discussed. The average delay is shown in increase with increasing dispersion in this variable.

Language: en