Fractional time-varying grey traffic flow model based on viscoelastic fluid and its application
Fractional time-varying grey traffic flow model based on viscoelastic fluid and its application
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基于粘弹性流体的分数阶时变灰色交通流模型及其应用
DOI：
10.1016/j.trb.2022.01.007
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发表时间：
2022-02-10
影响因子：
6.8
通讯作者：
Zhang, Yonghong
中科院分区：
文献类型：
--
作者：
Kang, Yuxiao;Mao, Shuhua;Zhang, Yonghong
现有的交通流模型不足以挖掘流体的特性，通常是常系数微分模型。它们不能反映交通流系统随时间变化的特性，适应性差。首先，对粘弹性交通流模型进行简化。结合Bass模型的建模原理和分数阶微积分在粘弹性流体中的成功应用，建立了分数阶粘弹性交通流模型。在此基础上，引入共形分数阶导数和分数阶灰色模型，建立了能反映时变特性的分数阶灰色粘弹性交通流模型。最后，将该模型与传统的统计模型在模型效率和稳定性方面进行了比较，并将其应用于多场景下的交通流和交通拥挤程度的建模。与其他六个模型的建模结果进行了比较。结果表明，新模型具有较好的稳定性和建模效果。
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.