A new two-lane lattice hydrodynamic model with the introduction of driver's predictive effect

被引:17
|
作者
Zhang, Jing [1 ]
Xu, Keyu [2 ]
Li, Shubin [3 ]
Wang, Tao [2 ]
机构
[1] Qingdao Univ Sci & Technol, Sch Math & Phys, Qingdao 266061, Peoples R China
[2] Qingdao Univ Sci & Technol, Dept Automat & Elect Engn, Qingdao 266061, Peoples R China
[3] Shandong Police Coll, Dept Traff Management Engn, Jinan 250014, Peoples R China
基金
中国国家自然科学基金;
关键词
Traffic flow; Predictive effect; Density wave; Stability analysis; TRAFFIC FLOW MODEL; CONCAVE GROWTH-PATTERN; THEORETICAL-ANALYSIS; JAMMING TRANSITIONS; DIFFERENCE; SIMULATION;
D O I
10.1016/j.physa.2020.124249
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This paper devises a new two-lane lattice hydrodynamic model (TLHM) to explore driver's predictive effect (DPE) on traffic oscillation. First, a linear approach is conducted to analytically predict the DPE on traffic performance. Theoretical analysis shows that with the help of DPE, the traffic flow stability will be gradually enhanced. Then, nonlinear analysis is implemented to explore the characteristics of traffic oscillation when sensitivity coefficient is near the critical point. The modified KdV equation derived from the new model and its analytical solution related kink-antikink density waves are obtained. Finally, numerical experiments show that the DPE can effectively dampen the growth of oscillation, which is well consistent with the theoretical analysis of the new model. (C) 2020 Published by Elsevier B.V.
引用
收藏
页数:10
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