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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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    5. Shaobo Zhou & Xiaodong Zang & Junheng Yang & Wanying Chen & Jiahao Li & Shuyi Chen, 2023. "Modelling the Coupling Relationship between Urban Road Spatial Structure and Traffic Flow," Sustainability, MDPI, vol. 15(14), pages 1-17, July.
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    7. He, Jing & Mao, Shuhua & Kang, Yuxiao, 2023. "Augmented fractional accumulation grey model and its application: Class ratio and restore error perspectives," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 209(C), pages 220-247.
    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).
    9. Song, Yuxin & Duan, Huiming & Cheng, Yunlong, 2024. "A novel fractional-order grey Euler prediction model and its application in short-term traffic flow," Chaos, Solitons & Fractals, Elsevier, vol. 189(P2).
    10. Zhu, Huimin & Xiao, Xinping & Kang, Yuxiao & Kong, Dekai, 2022. "Lead-lag grey forecasting model in the new community group buying retailing," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
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