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Effects of maximum relaxation in viscoelastic traffic flow modeling

Author

Listed:
  • Ma, Jian
  • Chan, C.K.
  • Ye, Zhongbao
  • Zhu, Zuojin

Abstract

Viscoelastic modeling is used to describe traffic flows in analogous to non-Newtonian fluid flows, where first and second order linear viscoelastic approximations are employed. This paper presents the effects of maximum relaxation in traffic flow modeling by demonstrating numerical results of single lane ring road traffic flows. Numerical results show that there is a wide spectrum of spatial-temporal pattern formation phenomena in traffic system. Self-organization plays a crucial role in the determination of traffic flow patterns and a different initial density causes a completely distinct traffic flow pattern. Predicting traffic flow acceleration is useful for checking reliability of the simulation and maximum relaxation brings about some observable but non-significant effects on traffic flow patterns.

Suggested Citation

  • Ma, Jian & Chan, C.K. & Ye, Zhongbao & Zhu, Zuojin, 2018. "Effects of maximum relaxation in viscoelastic traffic flow modeling," Transportation Research Part B: Methodological, Elsevier, vol. 113(C), pages 143-163.
  • Handle: RePEc:eee:transb:v:113:y:2018:i:c:p:143-163
    DOI: 10.1016/j.trb.2018.05.013
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    Citations

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    Cited by:

    1. Hu, Zejing & Smirnova, M.N. & Zhang, Yongliang & Smirnov, N.N. & Zhu, Zuojin, 2021. "Estimation of travel time through a composite ring road by a viscoelastic traffic flow model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 181(C), pages 501-521.
    2. Li, Zhengming & Smirnova, M.N. & Zhang, Yongliang & Smirnov, N.N. & Zhu, Zuojin, 2022. "Tunnel speed limit effects on traffic flow explored with a three lane model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 194(C), pages 185-197.
    3. Ngoduy, D., 2021. "Noise-induced instability of a class of stochastic higher order continuum traffic models," Transportation Research Part B: Methodological, Elsevier, vol. 150(C), pages 260-278.
    4. Kang, Yuxiao & Mao, Shuhua & Zhang, Yonghong, 2022. "Fractional time-varying grey traffic flow model based on viscoelastic fluid and its application," Transportation Research Part B: Methodological, Elsevier, vol. 157(C), pages 149-174.
    5. Huiming Duan & Xinping Xiao, 2019. "A Multimode Dynamic Short-Term Traffic Flow Grey Prediction Model of High-Dimension Tensors," Complexity, Hindawi, vol. 2019, pages 1-18, June.

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