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Further results on single-lane traffic flow

Published online by Cambridge University Press:  14 July 2016

Richard Cowan
Richard Cowan*
Affiliation:
CSIRO Division of Mathematics and Statistics
*
∗Postal address: CSIRO Division of Mathematics and Statistics, P.O. Box 218, Lindfield, N.S.W., Australia 2070.
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Abstract

A number of stochastic properties for a model of traffic flowing in a single lane are derived. The arrival process used is one which models (a) the bunching phenomenon of traffic and (b) the fact that vehicles have a spatial dimension and travel at minimum temporal spacing. Weak assumptions about the desired speeds of vehicles are made.

Keywords

TRAFFIC FLOWSTOCHASTIC PROCESSES
Type
Research Papers
Information
Journal of Applied Probability , Volume 17 , Issue 2 , June 1980 , pp. 523 - 531
Copyright
Copyright © Applied Probability Trust 1980 

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References

Branston, D. (1976) Models of single lane time headway distributions. Transportation Sci. 10, 125–148.CrossRefGoogle Scholar
Buckley, D. J. (1968) A semi-Poisson model of traffic flow. Transportation Sci. 2, 107–133.CrossRefGoogle Scholar
Cowan, R. (1971) A road with no overtaking. Austral. J. Statist. 13, 94–116.Google Scholar
Cowan, R. (1975) Useful headway models. Transportation Res. 9, 371–375.Google Scholar
Cowan, R. (1978) An improved model for signalised intersections with vehicle-actuated control. J. Appl. Prob. 15, 384–396.CrossRefGoogle Scholar
Cowan, R. (1979) The uncontrolled traffic merge. J. Appl. Prob. 16, 384–392.Google Scholar
Helland, I. S. and Nilson, T. S. (1976) On a general random exchange model. J. Appl. Prob. 13, 781–790.CrossRefGoogle Scholar
Hodgson, V. (1968) The time to drive through a no-passing zone. Transportation Sci. 2, 252–264.Google Scholar
Miller, A. J. (1961) A queueing model for road traffic flow. J. R. Statist. Soc. B 23, 64–75.Google Scholar
Newell, G. (1966) Equilibrium probability distributions for low density highway traffic. J. Appl. Prob. 3, 247–260.Google Scholar
Pearce, C. (1977) Superimposed alternating renewal streams and delay models involving multi-lane major road traffic at an uncontrolled intersection. Proc. 7th Internat. Symp. Transportation and Traffic Theory, Kyoto. Google Scholar
Stidham, S. (1974) A last word on L = ?W. Operat. Res. 22, 417–421.Google Scholar
Taylor, M. A. P., Miller, A. J. and Ogden, K. W. (1974) A comparison of some bunching models for rural traffic flow. Transportation Res. 8, 1–9.CrossRefGoogle Scholar