When Is a Bottleneck a Bottleneck?

Andreas Schadschneider (), Johannes Schmidt () and Vladislav Popkov ()
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Andreas Schadschneider: Institut für Theoretische Physik, Universität zu Köln
Johannes Schmidt: Institut für Theoretische Physik, Universität zu Köln
Vladislav Popkov: Institut für Theoretische Physik, Universität zu Köln

A chapter in Traffic and Granular Flow '15, 2016, pp 403-410 from Springer

Abstract: Abstract Bottlenecks, i.e. local reductionsSchadschneider, Andreas of capacity, areSchmidt, Johannes one of the most relevantPopkov, Vladislav scenarios of traffic systems. The asymmetric simple exclusion process (ASEP) with a defect is a minimal model for such a bottleneck scenario. One crucial question is “What is the critical strength of the defect that is required to create global effects, i.e. traffic jams localised at the defect position”. Intuitively, one would expect that already an arbitrarily small bottleneck strength leads to global effects in the system, e.g. a reduction of the maximal current. Therefore, it came as a surprise when, based on computer simulations, it was claimed that the reaction of the system depends in non-continuous way on the defect strength and weak defects do not have a global influence on the system. Here, we reconcile intuition and simulations by showing that indeed the critical defect strength is zero. We discuss the implications for the analysis of empirical and numerical data.

Keywords: Asymmetric Simple Exclusion Process (ASEP); Bottleneck Strength; Fault Strength; Weak Bottleneck; Maximal Current Phase (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-33482-0_51

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DOI: 10.1007/978-3-319-33482-0_51

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