Delays at signalised intersections with exhaustive traffic control

M.A.A. Boon, I.J.B.F. Adan, E.M.M. Winands, D.G. Down

Research output: Book/ReportReportAcademic

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Abstract

In this paper we study a traffic intersection with vehicle-actuated traffic signal control. Traffic lights stay green until all lanes within a group are emptied. Assuming general renewal arrival processes, we derive exact limiting distributions of the delays under Heavy Traffic (HT) conditions, using theory on polling models. Furthermore, we derive the Light Traffic (LT) limit of the mean delays for intersections with Poisson arrivals, and develop a heuristic adaptation of this limit to capture the LT behaviour for other interarrival-time distributions. We combine the LT and HT results to develop closed-form approximations for the mean delays of vehicles in each lane. These closed-form approximations are quite accurate, very insightful and simple to implement.
Original languageEnglish
Place of PublicationEindhoven
PublisherEurandom
Number of pages33
Publication statusPublished - 2010

Publication series

NameReport Eurandom
Volume2010043
ISSN (Print)1389-2355

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