Congestion analysis of unsignalized intersections

Abhishek, M.R.H. Mandjes, M.A.A. Boon, R. Nunez Queija

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

4 Citations (Scopus)

Abstract

This paper considers an unsignalized intersection used by two traffic streams. A stream of cars is using a primary road, and has priority over the other, low-priority, stream. Cars belonging to the latter stream cross the primary road if the gaps between two subsequent cars on the primary road is larger than their critical headways. Questions that naturally arise are: given the arrival pattern of the cars on the primary road, what is the maximum arrival rate of low-priority cars such that the number of such cars remains stable? In the second place, what can be said about the delay experienced by a typical car at the secondary road? This paper addresses such issues by considering a compact model that sheds light on the dynamics of the considered unsignalized intersection. The model, which is of a queueing-Theoretic nature, reveals interesting insights into the impact of the user behavior on the above stability and delay issues. The contribution of this paper is twofold. First, we obtain new results for the aforementioned model with driver impatience. Secondly, we reveal some surprising aspects that have remained unobserved in the existing literature so far, many of which are caused by the fact that the capacity of the minor road cannot be expressed in terms of the mean gap size; instead more detailed characteristics of the critical headway distribution play a role.

Original languageEnglish
Title of host publication2016 8th International Conference on Communication Systems and Networks, COMSNETS 2016, 5-10 January 2016, Bangalore, India
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages1-6
ISBN (Electronic)978-1-4673-9622-6
DOIs
Publication statusPublished - 23 Mar 2016
Event8th International Conference on Communication Systems and Networks, COMSNETS 2016 - Bangalore, India
Duration: 5 Jan 201610 Jan 2016

Conference

Conference8th International Conference on Communication Systems and Networks, COMSNETS 2016
CountryIndia
CityBangalore
Period5/01/1610/01/16

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