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An improved model for signalised intersections with vehicle-actuated control

Published online by Cambridge University Press:  14 July 2016

Richard Cowan
Richard Cowan*
Affiliation:
CSIRO Division of Mathematics and Statistics, Sydney
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Abstract

Explicit results are found for average delays and average lengths of red and green phases for a realistic continuous-time model of a two-street intersection operating with vehicle-actuated controls. The assumed arrival processes satisfactorily model both the random ‘bunch-gap' structure of traffic and the fact that vehicles have non-zero length.

Keywords

TRAFFIC INTERSECTIONSTOCHASTIC MODELVEHICLE-ACTUATEDPOINT PROCESSES
Type
Research Papers
Information
Journal of Applied Probability , Volume 15 , Issue 2 , June 1978 , pp. 384 - 396
Copyright
Copyright © Applied Probability Trust 1978 

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References

Cowan, R. J. (1975) Useful headway models. Transportation Res. 9, 371–375.Google Scholar
Darroch, J. N., Newell, G. F. and Morris, R. W. J. (1964) Queues for a vehicle-actuated traffic light. Opns Res. 12, 882–895.Google Scholar
Dunne, M. C. (1967) Traffic delays at a signalized intersection with binomial arrivals. Transportation Sci. 1, 24–31.Google Scholar
Garwood, F. (1940) An application of the theory of probability to the operation of vehicular controlled traffic signals. J. R. Statist. Soc. Suppl. 7, 65–77.Google Scholar
Lehoczky, J. P. (1969) Stochastic models in traffic flow theory: Intersection control. Stanford University Technical Report No. 14.Google Scholar
Lehoczky, J. P. (1972) Traffic intersection control and zero-switch queues. J. Appl. Prob. 9, 382–395.CrossRefGoogle Scholar
Little, J. G. (1971) Queueing of side-street traffic at a priority type vehicle-actuated signal. Transportation Res. 5, 295–300.Google Scholar
Newell, G. F. (1969) Properties of vehicle-actuated signals: I. One-way streets. Transportation Sci. 3, 30–52.CrossRefGoogle Scholar
Tanner, J. C. (1953) A problem of interference between two queues. Biometrika 40, 58–69.CrossRefGoogle Scholar