Breakdown and Recovery in Traffic Flow Models

K. Nagel, C. Kayatz and P. Wagner
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K. Nagel: ETH Zürich, Department of Computer Science
C. Kayatz: ETH Zürich, Department of Computer Science
P. Wagner: German Aerospace Centre, Institute for Transportation Research

A chapter in Traffic and Granular Flow’01, 2003, pp 141-153 from Springer

Abstract: Abstract Most car-following models show a transition from laminar to “congested” flow and vice versa. Deterministic models often have a density range where a disturbance needs a sufficiently large critical amplitude to move the flow from the laminar into the congested phase. In stochastic models, it may be assumed that the size of this amplitude gets translated into a waiting time, i.e. until fluctuations sufficiently add up to trigger the transition. A recently introduced model of traffic flow however does not show this behavior: in the density regime where the jam solution co-exists with the high-flow state, the intrinsic stochasticity of the model is not sufficient to cause a transition into the jammed regime, at least not within relevant time scales. In addition, models can be differentiated by the stability of the outflow interface. We demonstrate that this additional criterion is not related to the stability of the flow. The combination of these criteria makes it possible to characterize similarities and differences between many existing models for traffic in a new way.

Keywords: Cellular Automaton; Traffic Flow; Cellular Automaton; Traffic Model; Cellular Automaton Model (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-10583-2_14

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DOI: 10.1007/978-3-662-10583-2_14

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