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Interactions of waves in the speed-gradient traffic flow model

Author

Listed:
  • Tang, T.Q.
  • Huang, H.J.
  • Gao, Z.Y.
  • Wong, S.C.

Abstract

In this paper, we use the speed-gradient (SG) model proposed by Jiang et al. [Transportation Research Part B, 36 (2002) 405–419] to study the initial value problem of traffic flow. The evolution of multi-traffic waves is examined through setting piecewise continuous initial density. Numerical results show that distinct shocks and smooth transition layers appear instantaneously for some initial densities, and the shock front is smoothed by the smooth transition layer ahead of or behind it if, in the initial density, the length of shock section or the length of lower-density section before the shock is very short. We thus verify that the SG model can satisfyingly reproduce the evolution of multi-traffic waves with various initial densities.

Suggested Citation

  • Tang, T.Q. & Huang, H.J. & Gao, Z.Y. & Wong, S.C., 2007. "Interactions of waves in the speed-gradient traffic flow model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 380(C), pages 481-489.
    • Handle: RePEc:eee:phsmap:v:380:y:2007:i:c:p:481-489
    DOI: 10.1016/j.physa.2007.02.056
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    Cited by:

    1. Song, Fu-Tie & Zhou, Wei-Xing, 2010. "Analyzing the prices of the most expensive sheet iron all over the world: Modeling, prediction and regime change," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(17), pages 3538-3545.
    2. Qingtao, Zhai & Hongxia, Ge & Rongjun, Cheng, 2018. "An extended continuum model considering optimal velocity change with memory and numerical tests," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 774-785.

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