A solution to the fixed-cycle traffic light problem for compound Poisson arrivals

Research output: Contribution to journalArticlepeer-review

Abstract

A basic problem in the mathematical theory of traffic flow is to obtain the expected delay to a vehicle at a fixed-cycle traffic light controlling an intersection. The factors affecting this expected delay are the cycle time, the fraction of time the traffic light is effectively red, the number of vehicles which can pass through when the signal is green, and the nature of the (random) arrival process for the vehicles. Once a solution is known, it is possible to fix the cycle time and the effective red period in such a way that the expected delay is minimized.
Original languageEnglish
Pages (from-to)624-635
Number of pages12
JournalJournal of Applied Probability
Volume5
Issue number3
DOIs
Publication statusPublished - Dec 1968
Externally publishedYes

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