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Structural properties and graphical implications of Webster's delay formula

Neumann, Thorsten and Oertel, Robert (2015) Structural properties and graphical implications of Webster's delay formula. Journal of Traffic and Transportation Engineering, 3 (5), pp. 277-288. David Publishing. doi: 10.17265/2328-2142/2015.05.003. ISSN 2328-2142.

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Stochastic queuing models have been and still are an essential topic in the field of traffic flow theory at signalized intersections. The present article enhances the existing theoretical knowledge by a systematic review of the mutual relationship between traffic demand, green time split and average delay in context of a coupled system of Webster equations for a simple intersection scenario. Formally proved conditions for the existence and uniqueness of valid fixed time control strategies are derived such that these are able to simultaneously handle given traffic flows at the four approaches of the considered intersection. At that, consistency with measured or planned (maximum) average delays, for instance, is ensured. The strictly mathematical analysis finally leads to a new way of illustrating the dependencies of the three above named variables in terms of level curve diagrams that become an easy-to-understand graphical tool for answering a number of practical questions in context of traffic signal planning. Several theoretic examples are discussed.

Item URL in elib:https://elib.dlr.de/95529/
Document Type:Article
Title:Structural properties and graphical implications of Webster's delay formula
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Neumann, Thorstenthorsten.neumann (at) dlr.deUNSPECIFIED
Journal or Publication Title:Journal of Traffic and Transportation Engineering
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:No
DOI :10.17265/2328-2142/2015.05.003
Page Range:pp. 277-288
Publisher:David Publishing
Keywords:traffic flow theory; queuing model; average delay; signalized intersection; fixed time control; level function
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Transport
HGF - Program Themes:Traffic Management (old)
DLR - Research area:Transport
DLR - Program:V VM - Verkehrsmanagement
DLR - Research theme (Project):V - I.MoVe (old)
Location: Berlin-Adlershof
Institutes and Institutions:Institute of Transportation Systems > Qualität im Verkehr
Institute of Transportation Systems > Verkehrssteuerung und -beeinflussung
Deposited By: Neumann, Dr.-Ing. Thorsten
Deposited On:12 Jan 2016 09:44
Last Modified:31 Jul 2019 19:52

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