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A mathematical model for delays caused by right-turning vehicles at an uncontrolled intersection

Published online by Cambridge University Press:  14 July 2016

D. H. Reid
D. H. Reid*
Affiliation:
University of Strathclyde
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Extract

It is apparent that much of the congestion in road traffic is due to interference between vehicles at intersections, and this has led to the appearance of several mathematical discussions of the problems of delay at intersections of various types (Cohen and Stam (1963), Cohen and de Lange (1965), Hawkes (1965), (1966), Tanner (1962), Weiss and Maradudin (1962)). Comparatively little work has appeared on the problem of delay caused by vehicles turning right* across an opposing stream of vehicles, although Hawkes (1966) and Newell (1959) discuss this problem explicitly, and the models considered by all of these authors may be regarded as having some application to the right-turning problem.

Type
Research Papers
Information
Journal of Applied Probability , Volume 4 , Issue 1 , November 1967 , pp. 180 - 191
Copyright
Copyright © Applied Probability Trust 

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References

[1] Cohen, J., Dearnaley, E. J. and Hansel, C. E. M. (1955) The risk taken in crossing a road. Operat. Res. Quart. 6, 120–128.CrossRefGoogle Scholar
[2] Cohen, J. W. and Stam, A. J. (1963) Queueing for gaps in a traffic stream. Mathematical Institute, Technological University, Delft. Google Scholar
[3] Cohen, J. W. and De Lange, S. J. (1965) Numerical results for “Queueing for gaps in a traffic stream”. Mathematical Institute, Technological University, Delft. Google Scholar
[4] Haight, F. A. (1963) Mathematical Theories of Traffic Flow. Academic Press, New York.Google Scholar
[5] Hawkes, A. G. (1963) Queueing at traffic intersections. 2nd International Symposium on the Theory of Traffic Flow, London.Google Scholar
[6] Hawkes, A. G. (1965) Queueing for gaps in traffic. Biometrika 52, 79–85.Google Scholar
[7] Hawkes, A. G. (1966) Delay at traffic intersections. J. R. Statist. Soc. B 28, 202–212.Google Scholar
[8] Herman, R. and Weiss, G. H. (1961) Comments on the highway crossing problem. Operat. Res. 9, 828–840.CrossRefGoogle Scholar
[9] Jordan, C. (1950) Calculus of Finite Differences. Chelsea Publishing Co., New York.Google Scholar
[10] Kendall, D. G. (1951) Some problems in the theory of queues. J.R. Statist. Soc., B 13, 151–173.Google Scholar
[11] Newell, G. F. (1959) The effect of left turns on the capacity of a traffic intersection. Quart. Appl. Math. 17, 67–76.Google Scholar
[12] Tanner, J. C. (1953) A problem of interference between two queues. Biometrika 40, 58–69.CrossRefGoogle Scholar
[13] Tanner, J. C. (1962) A theoretical analysis of delays at an uncontrolled intersection. Biometrika 49, 163–170.Google Scholar
[14] Weiss, G. H. and Maradudin, A. A. (1962) Some problems in traffic delay. Operat. Res. 10, 74–104.Google Scholar