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Stability Analysis For Traffic Flow With Perturbations

Author

Listed:
  • TIE-QIAO TANG

    (School of Transportation Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China;
    School of Economics and Management, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China)

  • HAI-JUN HUANG

    (School of Economics and Management, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China)

  • YING ZHANG

    (School of Economics and Management, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China)

  • XIANG-YANG XU

    (School of Transportation Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, P. R. China)

Abstract

In this paper, we use the speed-gradient model proposed by Jianget al.[Transp. Res. B36, 405 (2002)] to study the effects that various perturbations have on the stability of traffic flow. Our numerical tests show that the effects of perturbations on the stability of traffic flow are related to the initial density, i.e., when the initial density is very low(ρ0≤ 0.02)or very high(ρ0> 0.08), any perturbation has little effect on the stability of traffic flow; when the initial density is relatively low(0.02

Suggested Citation

  • Tie-Qiao Tang & Hai-Jun Huang & Ying Zhang & Xiang-Yang Xu, 2008. "Stability Analysis For Traffic Flow With Perturbations," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(09), pages 1367-1375.
    • Handle: RePEc:wsi:ijmpcx:v:19:y:2008:i:09:n:s0129183108012947
    DOI: 10.1142/S0129183108012947
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