Hostname: page-component-7b7567c8c-7pwfn Total loading time: 0 Render date: 2026-11-14T17:47:27.913Z Has data issue: false hasContentIssue false
  • English
  • Français

On the relation between offered, critical and accepted gap distributions

Published online by Cambridge University Press:  14 July 2016

Torbjörn Thedeen
Torbjörn Thedeen*
Affiliation:
University of Stockholm
*
∗ Postal address: Department of Statistics, University of Stockholm, P.O. Box 6701, S–113 85 Stockholm, Sweden.
Get accessRights & Permissions [Opens in a new window]

Abstract

We consider the situation when vehicles in a minor road try to cross a major road. The relation between the distributions of the critical, offered and accepted gaps is studied. Estimates of the critical gap distribution from observations of offered and accepted gaps are given and also studied in some simulation examples.

Keywords

TRAFFIC AT ROAD INTERSECTIONSESTIMATION OF CRITICAL GAP DISTRIBUTIONS

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 16 , Issue 1 , March 1979, pp. 54 - 64
Copyright
Copyright © Applied Probability Trust 1979 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

Ancker, C. J. and Gafarían, A. V. (1967) A simple renewal model of throughput at an oversaturated signalized intersection. Transportation Res. 1, 57–65.CrossRefGoogle Scholar
Ancker, C. J., Gafarían, A. V. and Gray, R. K. (1968) The oversaturated signalized intersection — some statistics. Transportation Sci. 2, 340–361.CrossRefGoogle Scholar
Ashton, W. (1971) Gap acceptance problems at a traffic intersection. Appl. Statist. 20, 130–138.CrossRefGoogle Scholar
Ashworth, R (1968) A note on the selection of gap acceptance criteria for traffic simulation studies. Transportation Res. 2, 171–175.CrossRefGoogle Scholar
Asplund, E. and Bungart, L. (1966) A First Course in Integration. Holt, Rinehart and Winston, New York.Google Scholar
Doob, J. L. (1953) Stochastic Processes. Wiley, New York.Google Scholar
Haight, F. (1963) Mathematical Theories of Traffic Flow. Academic Press, New York.Google Scholar
Miller, A. J. (1961) A queuing model for road traffic flow. J. R. Statist. Soc. B 23, 64–75.Google Scholar
Miller, A. J. (1972) Nine estimators of gap-acceptance parameters. In Traffic Flow and Transportation, ed. Newell, G. F. Elsevier, New York.Google Scholar
Miller, A. J. (1974) A note on the analysis of gap-acceptance in traffic. Appl. Statist. 23, 66–73.CrossRefGoogle Scholar
Ramsey, J. B. L. and Routledge, I. W. (1973) A new approach to the analysis of gap acceptance times. Traffic Engineering and Control 15, 353–357.Google Scholar
Szwed, N. and Smith, N. M. H. (1974) Gap acceptance and merging. 7th Australian Road Research Conference. Adelaide.Google Scholar
Thedeen, T. (1969) The oversaturated signalized intersection — some probabilistic aspects. Transportation Sci. 3, 289–296.CrossRefGoogle Scholar
Troutbeck, R. J. (1975) A review of the Ramsey–Routledge method for gap acceptance times. Traffic Engineering and Control 17, 373–375.Google Scholar