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

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

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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.

Original languageEnglish
Pages (from-to)267-273
Number of pages7
JournalEuropean Physical Journal B
Volume54
Issue number2
DOIs
Publication statusPublished - Nov 2006
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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Jiang, R., Hu, M. B., Jia, B., Wang, R. L., & Wu, Q. S. (2006). The effects of reaction delay in the Nagel-Schreckenberg traffic flow model. European Physical Journal B, 54(2), 267-273. https://doi.org/10.1140/epjb/e2006-00449-5