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DELAYS AT SIGNALIZED INTERSECTIONS WITH EXHAUSTIVE TRAFFIC CONTROL*

Published online by Cambridge University Press:  08 June 2012

M.A.A. Boon,
I.J.B.F. Adan,
E.M.M. Winands and
D.G. Down
M.A.A. Boon
Affiliation:
EURANDOM and Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600MB Eindhoven, The Netherlands E-mail: marko@win.tue.nl, iadan@win.tue.nl
I.J.B.F. Adan
Affiliation:
EURANDOM and Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600MB Eindhoven, The Netherlands E-mail: marko@win.tue.nl, iadan@win.tue.nl
E.M.M. Winands
Affiliation:
FNWIKorteweg de Vries Instituut voor Wiskunde, Universiteit van Amsterdam, P.O. Box 942481090, GE AMSTERDAM, The Netherlands E-mail: emm.winands@few.vu.nl
D.G. Down
Affiliation:
McMaster University, 1280 Main Street West, Hamilton, ON, CanadaL8S 4L7 E-mail: downd@mcmaster.ca
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Abstract

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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. 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 behavior 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.

Information

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 26 , Issue 3 , July 2012, pp. 337 - 373
Copyright
Copyright © Cambridge University Press 2012

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