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Fractional time-varying grey traffic flow model based on viscoelastic fluid and its application

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  • Kang, Yuxiao
  • Mao, Shuhua
  • Zhang, Yonghong

Abstract

Existing traffic flow models are insufficient to excavated the characteristics of fluids and are usually a constant coefficient differential model. They cannot reflect the characteristics of a traffic flow system changing with time, resulting in their poor adaptability. Firstly, the viscoelastic traffic flow model is simplified. The fractional viscoelastic traffic flow model is established in combination with modelling principle of the Bass model and successful application of fractional calculus in viscoelastic fluid. Conformable fractional derivative and the fractional grey model are then introduced to establish a fractional grey viscoelastic traffic flow model that can reflect time-varying characteristics. Finally, the new model is compared with traditional statistical models in terms of model efficiency and stability and is applied to the modelling of traffic flow and traffic congestion level in multiple scenarios. The modelling results are compared with six other models. Results show that the new model has better stability and modelling effect.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:transb:v:157:y:2022:i:c:p:149-174
    DOI: 10.1016/j.trb.2022.01.007
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    References listed on IDEAS

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    1. Zhang, Yonghong & Mao, Shuhua & Kang, Yuxiao & Wen, Jianghui, 2021. "Fractal derivative fractional grey Riccati model and its application," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    2. Sun, Lu & Jafaripournimchahi, Ammar & Kornhauser, Alain & Hu, Wushen, 2020. "A new higher-order viscous continuum traffic flow model considering driver memory in the era of autonomous and connected vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).
    3. 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.
    4. 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.
    5. Zhang, H. M., 2003. "Driver memory, traffic viscosity and a viscous vehicular traffic flow model," Transportation Research Part B: Methodological, Elsevier, vol. 37(1), pages 27-41, January.
    6. Wu, Wenqing & Ma, Xin & Zeng, Bo & Wang, Yong & Cai, Wei, 2019. "Forecasting short-term renewable energy consumption of China using a novel fractional nonlinear grey Bernoulli model," Renewable Energy, Elsevier, vol. 140(C), pages 70-87.
    7. Moosavi, Rouhollah & Moltafet, Reza & Shekari, Younes, 2021. "Analysis of viscoelastic non-Newtonian fluid over a vertical forward-facing step using the Maxwell fractional model," Applied Mathematics and Computation, Elsevier, vol. 401(C).
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    Cited by:

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    8. Yin, Chen & Mao, Shuhua, 2023. "Fractional multivariate grey Bernoulli model combined with improved grey wolf algorithm: Application in short-term power load forecasting," Energy, Elsevier, vol. 269(C).

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