The Annals of Mathematical Statistics

On the Traffic-light Queue

J. N. Darroch

Full-text: Open access

Abstract

A formal solution for the stationary distribution of queue-length at a fixed-cycle traffic light is found for a fairly general distribution of arrivals and for a single stream of vehicles which either all turn left or else all go straight on or turn right. (We assume that the vehicles are driving on the right of the road.) Some inequalities are derived for the expected queue-length and for the expected delay per vehicle.

Article information

Source
Ann. Math. Statist., Volume 35, Number 1 (1964), 380-388.

Dates
First available in Project Euclid: 27 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aoms/1177703761

Digital Object Identifier
doi:10.1214/aoms/1177703761

Mathematical Reviews number (MathSciNet)
MR158445

Zentralblatt MATH identifier
0127.35102

JSTOR
links.jstor.org

Citation

Darroch, J. N. On the Traffic-light Queue. Ann. Math. Statist. 35 (1964), no. 1, 380--388. doi:10.1214/aoms/1177703761. https://projecteuclid.org/euclid.aoms/1177703761


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