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The effects of reaction delay in the Nagel-Schreckenberg traffic flow model

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  • R. Jiang
  • M. B. Hu
  • B. Jia
  • R. L. Wang
  • Q. S. Wu

Abstract

This paper studies a new model, which considers the effects of drivers reaction delay in the Nagel-Schreckenberg model. We studied the traffic flow properties in the new model under both periodic and open boundary conditions. The fundamental diagram, spatio-temporal patterns, density-density correlation functions, relaxation time, and distance headway distribution are investigated. Several interesting results are reported, for example, (i) the jam becomes less condensed when the delay effect is considered; (ii) the distance headway of the new model exhibits a multi-peak distribution when randomization p is small; (iii) for large p, the distribution of distance headway follows a power law in the new model; (iv) under open boundary conditions, the existence of a stationary jam near the left boundary will lower the flow rate. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Suggested Citation

  • R. Jiang & M. B. Hu & B. Jia & R. L. Wang & Q. S. Wu, 2006. "The effects of reaction delay in the Nagel-Schreckenberg traffic flow model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 54(2), pages 267-273, November.
    • Handle: RePEc:spr:eurphb:v:54:y:2006:i:2:p:267-273
    DOI: 10.1140/epjb/e2006-00449-5
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    89.40.-a Transportation;

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