Two-lane lattice hydrodynamic model considering the empirical lane-changing rate

Two-lane lattice hydrodynamic model considering the empirical lane-changing rate
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考虑经验换道率的双车道晶格水动力模型

DOI:
10.1016/j.cnsns.2019.02.010
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发表时间:
2019
影响因子:
3.9
通讯作者:
Ma Shoufeng
Ma Shoufeng
中科院分区:
数学2区
文献类型:
--
作者:
Zhu Chenqiang;Zhong Shiquan;Ma Shoufeng

文献摘要

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变道作为一种常见的交通行为,对交通流有着重要的影响。变道很大程度上依赖于周围的环境,所以在交通流模型中设定一个恒定的变道率是不合理的。通过对三个经验变道数据集的分析,我们发现变道率与交通密度有关。变道率的结构类似于优化速度函数。通过修正守恒方程中的变道率,提出了一种新的双车道格模型。通过理论和仿真分析了新模型的线性稳定性以及变道率参数对线性稳定性的影响。并将新模型与Nagatani的双车道模型与实际观测结果进行了比较,结果表明新模型能较好地再现观测结果。
As a common behavior, lane changing has a significant influence on traffic flow. Lane changing is heavily dependent on the surrounding environment, so having a constant lane-changing rate in a traffic flow model would be unreasonable. Through an analysis of three empirical lane-changing datasets, we find that the lane-changing rate depends on traffic density. The structure of the lane-changing rate is similar to an optimization velocity function. We propose a new two-lane lattice model by modifying the lane-changing rate in the conservation equation. The linear stability of the new model and the effects of the parameters in the lane-changing rate on linear stability are analyzed through theory and simulation. Moreover, the new model and Nagatani's two-lane model are compared with actual observation results, which shows that the new model can better reproduce the observation results.