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

被引：32
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
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2019年 / 525卷
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
相关论文
共 64 条
[1]   DYNAMICAL MODEL OF TRAFFIC CONGESTION AND NUMERICAL-SIMULATION [J].
BANDO, M ;
HASEBE, K ;
NAKAYAMA, A ;
SHIBATA, A ;
SUGIYAMA, Y .
PHYSICAL REVIEW E, 1995, 51 (02) :1035-1042
[2]   A control method applied to mixed traffic flow for the coupled-map car-following model [J].
Cheng Rong-Jun ;
Han Xiang-Lin ;
Lo Siu-Ming ;
Ge Hong-Xia .
CHINESE PHYSICS B, 2014, 23 (03)
[3]   The nonlinear analysis for a new continuum model considering anticipation and traffic jerk effect [J].
Cheng Rongjun ;
Ge Hongxia ;
Wang Jufeng .
APPLIED MATHEMATICS AND COMPUTATION, 2018, 332 :493-505
[4]   An improved continuum model for traffic flow considering driver's memory during a period of time and numerical tests [J].
Cheng Rongjun ;
Ge Hongxia ;
Wang Jufeng .
PHYSICS LETTERS A, 2017, 381 (34) :2792-2800
[5]   An extended macro traffic flow model accounting for multiple optimal velocity functions with different probabilities [J].
Cheng, Rongjun ;
Ge, Hongxia ;
Wang, Jufeng .
PHYSICS LETTERS A, 2017, 381 (32) :2608-2620
[6]   KdV-Burgers equation in a new continuum model based on full velocity difference model considering anticipation effect [J].
Cheng Rongjun ;
Ge Hongxia ;
Wang Jufeng .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2017, 481 :52-59
[7]   An extended continuum model accounting for the driver's timid and aggressive attributions [J].
Cheng, Rongjun ;
Ge, Hongxia ;
Wang, Jufeng .
PHYSICS LETTERS A, 2017, 381 (15) :1302-1312
[8]   Two velocity difference model for a car following theory [J].
Ge, H. X. ;
Cheng, R. J. ;
Li, Z. P. .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (21) :5239-5245
[9]   An improved car-following model considering influence of other factors on traffic jam [J].
Ge, Hong-xia ;
Meng, Xiang-pei ;
Ma, Jian ;
Lo, Siu-ming .
PHYSICS LETTERS A, 2012, 377 (1-2) :9-12
[10]  
Ge HX, 2004, PHYS REV E, V70, DOI 10.1103/PhysRevE.70.066134
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