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Delay times in a cellular traffic flow model for road sections with periodic outflow

Neumann, Thorsten and Wagner, Peter (2008) Delay times in a cellular traffic flow model for road sections with periodic outflow. European Physical Journal B - Condensed Matter, 63 (2), pp. 255-264. Springer. DOI: 10.1140/epjb/e2008-00234-6

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Official URL: http://dx.doi.org/10.1140/epjb/e2008-00234-6


A simple cellular automaton to model traffic flow is used to analyze the impact of traffic lights on travel times. The model is investigated on a stretch of road with open boundaries, where the inflow is driven stochastically, but the outflow is controlled by a traffic light with periodically changing outflow rates. Especially in the transition regime from free flow to oversaturated flow, the detailed space-time structure can be used to derive analytical lower and upper boundaries for the travel time function. The analytical results have been verified by a simulation study. The function displays a strong non-trivial dependency on the length of the system, which is at odds with a well-known formula derived almost 50 years ago by Webster. Such a model is interesting both from a theoretical point of view and for applications.

Item URL in elib:https://elib.dlr.de/54271/
Document Type:Article
Title:Delay times in a cellular traffic flow model for road sections with periodic outflow
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Date:20 June 2008
Journal or Publication Title:European Physical Journal B - Condensed Matter
Open Access:No
Gold Open Access:No
In ISI Web of Science:No
DOI :10.1140/epjb/e2008-00234-6
Page Range:pp. 255-264
Keywords:Delay time, Travel time, Traffic lights, Cellular automaton, Traffic flow model
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 - Methodenentwicklung (old)
Location: Berlin-Adlershof
Institutes and Institutions:Institute of Transportation Systems > Traffic Management
Deposited By: Neumann, Dr.-Ing. Thorsten
Deposited On:29 Jul 2008
Last Modified:12 Dec 2013 20:31

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