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On single-lane roads

Published online by Cambridge University Press:  01 July 2016

A. J. Koning
A. J. Koning*
Affiliation:
University of Limburg
*
∗Postal address: Department of Medical Informatics and Statistics, University of Limburg, P.O. Box 616, 6200 MD Maastricht, The Netherlands. Part of this research was performed at the Centre for Mathematics and Computer Science, Amsterdam.
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Abstract

A road which narrows at a bottleneck from an ∞-lane road to a one-lane road is studied with the aid of two stochastic processes. Special attention is given to headways and gaps. At the bottleneck an equilibrium headway can be viewed as the maximum of a shifted exponential random variable and a minimum headway. After the bottleneck the situation becomes far more complicated. However, limiting results are obtained for headways and gaps at a large distance from the bottleneck. The asymptotic behavior of headways and gaps is largely determined by the behavior of the desired speed distribution at the lower extreme of its support.

Keywords

TRAFFIC FLOWPOINT PROCESSES
Type
Research Article
Information
Advances in Applied Probability , Volume 21 , Issue 1 , March 1989 , pp. 142 - 158
Copyright
Copyright © Applied Probability Trust 1989 

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