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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.
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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 

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References

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