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Wide Scattering of Nagel-Schreckenberg Fundamental Diagram Under Traffic Bottlenecks

In: Traffic and Granular Flow '15

Author

Listed:
  • Wei Liang Quek

    (Nanyang Technological University, Division of Physics and Applied Physics, School of Physical and Mathematical Sciences)

  • Lock Yue Chew

    (Nanyang Technological University, Division of Physics and Applied Physics, School of Physical and Mathematical Sciences)

Abstract

BasedQuek, Wei Liang on current traffic flowChew, Lock Yue studies, there are several traffic cellular automaton (TCA) models, in which the wide scattering of flow-density data are observed. In this study, we propose that the physical mechanism behind the observed wide scattering is the variability of cluster formation in congested traffic. By simulating road bottlenecks on highways using the Nagel-Schreckenberg (NaSch) model, varying degrees of wide scattering is observed. Numerical analysis of the results shows a strong correlation between the variance in the number of clusters and the width of scattering in the flow-density data. By studying the microscopic dynamics of the NaSch model, we proposed the physical mechanism of wide scattering in TCA models to be the heterogeneity of cluster formation in congested traffic flow. In addition, the results were compared with Tian (2012)’s Average Space Gap Model (ASGM) and through qualitative analysis, we suggest that the wide scattering observed is due to the AGSM mechanism favouring statistically unfavourable cluster configurations.

Suggested Citation

  • Wei Liang Quek & Lock Yue Chew, 2016. "Wide Scattering of Nagel-Schreckenberg Fundamental Diagram Under Traffic Bottlenecks," Springer Books, in: Victor L. Knoop & Winnie Daamen (ed.), Traffic and Granular Flow '15, pages 443-450, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-33482-0_56
    DOI: 10.1007/978-3-319-33482-0_56
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