Abstract
A delay formula is developed for the problem, analyzed by Tanner in 1962, where two streams of traffic have conflicting demands at an intersection. The situation is such that the major stream has absolute priority and the minor stream vehicles can only enter the intersection when sufficiently large gaps appear in the major stream. This paper extends Tanner's work by considering a generalised stochastic structure on the arrival streams. The paper also links Tanner's work to other papers of this author where the utilitarian value of this generalised model has been established in a wide range of traffic problems.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M. Beckmann, C.B. McGuire and C.B. Winsten,Studies in the Economics of Transportation (Yale University Press, 1956).
R. Cowan, Useful headway models, Trans. Res. 9(1975)371.
R. Cowan, An improved model for signalised intersections with vehicle-actuated control, J. Appl. Prob. 15(1978)384.
R. Cowan, The uncontrolled traffic merge, J. Appl. Prob. 16(1979)384.
R. Cowan, Further results on single-lane flow, J. Appl. Prob. 17(1980)523.
R. Cowan, An analysis of the fixed-cycle traffic lights problem, J. Appl. Prob. 18(1981) 672.
R. Cowan, Adams' formula revised, Traffic Engineering and Control 25, 5(1984)272.
D.H. Evans, R. Herman and G.H. Weiss, The highway merging and queueing problem, Oper. Res. 12(1964)832.
R.M. Oliver and E.F. Bisbee, Queueing for gaps in high-flow traffic, Oper. Res. 10(1962)105.
J.C. Tanner, A theoretical analysis of delays at an uncontrolled intersection, Biometrika 49 (1962)163.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Cowan, R. An extension of Tanner's results on uncontrolled intersections. Queueing Syst 1, 249–263 (1987). https://doi.org/10.1007/BF01149537
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01149537