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

T. Neumann () and P. Wagner ()

The European Physical Journal B: Condensed Matter and Complex Systems, 2008, vol. 63, issue 2, 255-264

Abstract: 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. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2008

Keywords: 45.70.Vn Granular models of complex systems; traffic flow, (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (2)

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DOI: 10.1140/epjb/e2008-00234-6

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