DISTRIBUTION-FREE MODEL FOR ESTIMATING RANDOM QUEUES IN SIGNALIZED NETWORKS

A general-arrival, bulk service time queueing model is formulated for studying the distribution of random queues in signalized networks. The model is predicated on the occurrence of three traffic stream transformations: merging, splitting, and filtering. The model is applied to steady-state conditions (traffic intensity < 1.0) but can be eventually converted to a time-dependent form to account for oversaturation effects. A comparison of the results of the model with those of comparable models in the literature confirms that the use of random queue estimates derived from the assumption of a Poisson arrival process is inappropriate for networks. Marginal adjustments to the Poisson process by including a variance-to-mean ratio of the departure distribution improve the random queue estimate to a point. The results also confirm recent observations by Newell about the relationship of stochastic queues in an arterial network with their counterparts at isolated intersections. In general queue estimates for the network case are substantially smaller than those incurred at an isolated intersection with similar traffic intensity. The difference is attributable primarily to the process of traffic filtering.

• Record URL:
  http://onlinepubs.trb.org/Onlinepubs/trr/1994/1457/1457-023.pdf
• Record URL:
  https://scholar.google.com/scholar_lookup?title=DISTRIBUTION-FREE+MODEL+FOR+ESTIMATING+RANDOM+QUEUES+IN+SIGNALIZED+NETWORKS&author=A.+Tarko&author=N.+Rouphail&publication_year=1994
• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/isbn/0309061008
• Supplemental Notes:
  • This paper appears in Transportation Research Record No. 1457, Part 2, Traffic Flow and Capacity. Distribution, posting, or copying of this PDF is strictly prohibited without written permission of the Transportation Research Board of the National Academy of Sciences. Unless otherwise indicated, all materials in this PDF are copyrighted by the National Academy of Sciences. Copyright © National Academy of Sciences. All rights reserved
• Authors:
  • Tarko, Andrzej
  • Rouphail, Nagui
• Publication Date: 1994

Language

• English

Media Info

• Features: Figures; References;
• Pagination: p. 192-197
• Monograph Title: Part 1: 1994 TRB Distinguished Lecture, Adolf D May; Part 2: Traffic flow and capacity
• Serial:
  • Transportation Research Record
  • Issue Number: 1457
  • Publisher: Transportation Research Board
  • ISSN: 0361-1981

Subject/Index Terms

• TRT Terms: Estimating; Merging traffic; Queuing theory; Traffic signal control systems
• Uncontrolled Terms: Traffic splitting
• Old TRIS Terms: Queueing models; Random queues; Traffic filtering
• Subject Areas: Highways; Operations and Traffic Management; I71: Traffic Theory;

Filing Info

• Accession Number: 00677663
• Record Type: Publication
• ISBN: 0309061008
• Files: TRIS, TRB
• Created Date: May 12 1995 12:00AM