An extended car-following model considering driver's sensory memory and the backward looking effect

被引:30
作者
Chen, Can [1 ,2 ,3 ]
Cheng, Rongjun [1 ,2 ,3 ]
Ge, Hongxia [1 ,2 ,3 ]
机构
[1] Ningbo Univ, Fac Maritime & Transportat, Ningbo 315211, Zhejiang, Peoples R China
[2] Jiangsu Prov Collaborat Innovat Ctr Modern Urban, Nanjing 210096, Jiangsu, Peoples R China
[3] Ningbo Univ, Natl Traff Management Engn & Technol Res Ctr, Subctr, Ningbo 315211, Zhejiang, Peoples R China
基金
中国国家自然科学基金;
关键词
Backward-looking effect; Driver's memory; TDGL equation; mKdV equation; LATTICE HYDRODYNAMIC MODEL; VELOCITY DIFFERENCE MODEL; TRAFFIC FLOW; CONTINUUM MODEL; JAMMING TRANSITION; BOUNDED RATIONALITY; RELATIVE VELOCITY; DYNAMICAL MODEL; NONLINEAR-ANALYSIS; KDV;
D O I
10.1016/j.physa.2019.03.099
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
On the basis of full velocity difference model (FVDM), an extended car-following model is proposed to account for the effect of driver's memory and backward looking effect in this paper. The stability conditions of the new model are derived by applying the linear stability analysis. The time-dependent Ginzburg-Lan (TDGL) equation and the modified Korteweg-de Vries (mKdV) equation are derived through nonlinear theory. Moreover, the relationship between the two equations is studied. Numerical simulations show that the stability of traffic flows can be strengthened with the effect of driver's memory and backward looking effect. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码:278 / 289
页数:12
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