The Annals of Mathematical Statistics

Queues for a Fixed-Cycle Traffic Light

G. F. Newell

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Abstract

In their book Studies in the Economics of Transportation, Beckmann, McGuire and Winsten (BMW) ([2], pp. 11-13, 40-42) proposed a simple queuing model for traffic flow through a fixed-cycle traffic light. Although they derived a relation between the average delay per car and the average length of the queue at the beginning of a red phase of the light, they only indicated some possible numerical schemes for evaluating the latter. Here we shall derive analytic expressions for the average queue length and consequently also the average delay under equilibrium conditions for the BMW model.

Article information

Source
Ann. Math. Statist., Volume 31, Number 3 (1960), 589-597.

Dates
First available in Project Euclid: 27 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aoms/1177705787

Digital Object Identifier
doi:10.1214/aoms/1177705787

Mathematical Reviews number (MathSciNet)
MR121243

Zentralblatt MATH identifier
0094.12902

JSTOR
links.jstor.org

Citation

Newell, G. F. Queues for a Fixed-Cycle Traffic Light. Ann. Math. Statist. 31 (1960), no. 3, 589--597. doi:10.1214/aoms/1177705787. https://projecteuclid.org/euclid.aoms/1177705787


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