Multiclass first-order traffic model using stochastic fundamental diagrams

Multiclass first-order traffic model using stochastic fundamental diagrams
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DOI:
10.1080/18128600903251334
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发表时间:
2011-03
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通讯作者:
D. Ngoduy
D. Ngoduy
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文献类型:
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作者:
D. Ngoduy

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一阶连续介质交通模型由于其简单性和能够描述许多实际交通问题(如冲击波的形成)而在交通流理论中得到了广泛的研究。此外,最近将一阶模型扩展到多类别交通动力学中,揭示了一些有趣的非线性交通现象,如滞后和容量下降。然而,现有的一阶连续介质模型大多没有表现出广泛分散的流动-密度关系。我们在本文中认为,这种广泛分散的流量-密度关系可能是由于驾驶行为的随机变化造成的。结果表明,在模型参数随机设定的情况下,多类一阶模型可以再现磁滞转变和宽散射。仿真结果支持我们的研究结果,并与实际数据吻合较好。
The first-order continuum traffic model has been extensively studied in the state-of-the-art of traffic flow theory due to its simplicity and capability to represent many real traffic problems, such as a shock-wave formation. Furthermore, recent extension of the first-order model to multiclass traffic dynamics has revealed some interesting non-linear traffic phenomena such as hysteresis and capacity drop. However, most of the existing first-order continuum models do not display the widely scattered flow–density relationship. We argue in this article that the widely scattered flow–density relationship might be caused by the random variations in driving behaviour. It is shown that both of the hysteresis transitions and the wide scattering can be reproduced by a multiclass first-order model with a stochastic setting in the model parameters. The simulation results support our findings and are in good agreement with the real data.