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
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
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  • [21] Stability analysis of dynamic collaboration model with control signals on two lanes
    Li, Zhipeng
    Zhang, Run
    Xu, Shangzhi
    Qian, Yeqing
    Xu, Juan
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (12) : 4148 - 4160
  • [22] Enhanced stability of car-following model upon incorporation of short-term driving memory
    Liu, Da-Wei
    Shi, Zhong-Ke
    Ai, Wen-Huan
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 47 : 139 - 150
  • [23] Path optimization of taxi carpooling
    Ma, Changxi
    He, Ruichun
    Zhang, Wei
    [J]. PLOS ONE, 2018, 13 (08):
  • [24] Road screening and distribution route multi objective robust optimization for hazardous materials based on neural network and genetic algorithm
    Ma, Changxi
    Hao, Wei
    Pan, Fuquan
    Xiang, Wang
    [J]. PLOS ONE, 2018, 13 (06):
  • [25] Distribution path robust optimization of electric vehicle with multiple distribution centers
    Ma, Changxi
    Hao, Wei
    He, Ruichun
    Jia, Xiaoyan
    Pan, Fuquan
    Fan, Jing
    Xiong, Ruiqi
    [J]. PLOS ONE, 2018, 13 (03):
  • [26] TDGL and MKdV equations for jamming transition in the lattice models of traffic
    Nagatani, T
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1999, 264 (3-4) : 581 - 592
  • [27] Jamming transition in a two-dimensional traffic flow model
    Nagatani, T
    [J]. PHYSICAL REVIEW E, 1999, 59 (05) : 4857 - 4864
  • [28] Modified KdV equation for jamming transition in the continuum models of traffic
    Nagatani, T
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1998, 261 (3-4) : 599 - 607
  • [29] Thermodynamic theory for the jamming transition in traffic flow
    Nagatani, T
    [J]. PHYSICAL REVIEW E, 1998, 58 (04) : 4271 - 4276
  • [30] Gas kinetic approach to two-dimensional traffic flow
    Nagatani, T
    [J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1996, 65 (10) : 3150 - 3152
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