Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-23T04:16:07.457Z Has data issue: false hasContentIssue false
  • English
  • Français

On platoon formation on two-lane roads

Published online by Cambridge University Press:  14 July 2016

Zeev Barzily  and
Michael Rubinovitch
Zeev Barzily*
Affiliation:
The George Washington University
Michael Rubinovitch*
Affiliation:
Technion — Israel Institute of Technology
*
∗Research sponsored by Program in Logistics Contract N00014-75-C-0729 and Project NR 347 020, Office of Naval Research. Postal address: The George Washington University, Program in Logistics/Institute for Management Science and Engineering, School of Engineering and Applied Science, Washington D.C. 20052, U.S.A.
∗∗Research sponsored by Air Force Office of Scientific Research Grant No. 74–2733D with Northwestern University. Postal address: Department of Industrial and Management Engineering, Technion — Israel Institute of Technology, Haifa, Israel.
Get access Rights & Permissions [Opens in a new window]

Abstract

An approximate model for the study of platoon formation on two-lane highways is discussed in detail. The model assumes that the two-lane highway is divided in each traffic direction into alternating road sections of fixed lengths. The passing in one type of section is unrestricted and the passing in the other one is prohibited. It is assumed that there are slow and fast vehicles on the highway and that inputs follow independent Poisson processes. The results include the distribution of the number of vehicles in a platoon and the average speed of a typical fast vehicle.

Keywords

STATIONARY PROCESSESTRAFFIC THEORYPOISSON PROCESSESTWO-LANE HIGHWAYSPLATOONINGAVERAGE SPEEDLIGHT TRAFFICOVERTAKING
Type
Research Papers
Information
Journal of Applied Probability , Volume 16 , Issue 2 , June 1979 , pp. 347 - 361
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.)

References

[1] Breiman, L. (1963) The Poisson tendency in traffic distribution. Ann. Math. Statist. 34, 308–311.Google Scholar
[2] Cowan, R. J. (1971) A road with no overtaking. Austral. J. Statist. 13, 94–115.Google Scholar
[3] Cox, D. R. and Lewis, P. A. W. (1966) The Statistical Analysis of Series of Events. Methuen, London.Google Scholar
[4] Epstein, B., Galin, D. and Shlifer, E. (1974) Behavior of vehicles along roads for which passing is not permitted. Transportation Res. 8, 517–522.Google Scholar
[5] Galin, D. and Epstein, B. (1974) Speeds and delays on two-lane roads, where passing is possible at given points of the road. Transportation Res. 8, 29–37.Google Scholar
[6] Hodgson, V. (1968) The time to drive through a no-passing zone. Transportation Sci. 2, 252–264.CrossRefGoogle Scholar
[7] Miller, A. J. (1963) An analysis of bunching in rural two-lane traffic. Opns Res. 11, 236–247.Google Scholar
[8] Miller, A. J. (1967) Queueing in rural traffic. In Vehicular Traffic Science, ed. Edie, L. C., Herman, R., and Rothery, R., American Elsevier, New York, 122–137.Google Scholar
[9] Rubinovitch, M. (1970) A survey of some recent models for traffic on two-lane roads. Technical Report No. 87, Department of Operations Research, Cornell University, Ithaca, New York.Google Scholar
[10] Tanner, J. C. (1961) Delays on a two-lane road. J. R. Statist. Soc., B 23, 38–63.Google Scholar
[11] 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.Google Scholar