TDGL and mKdV equations for an extended car-following model

被引：0
|
作者：
Han Song
Pengjun Zheng
Hongxia Ge
机构：
[1] Ningbo University,Faculty of Maritime and Transportation
[2] Jiangsu Province Collaborative Innovation Center for Modern Urban Traffic Technologies,undefined
[3] National Traffic Management Engineering and Technology Research Centre Ningbo University Sub-centre,undefined
来源：
Nonlinear Dynamics | 2017年 / 90卷
关键词：
Traffic flow; Car-following model; Energy consumption; mKdV Equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we construct an improved car-following model by accounting for the effect of the optimal velocity difference and a two-velocity difference. The effect of this model is examined through the linear stability analysis. The TDGL equation and the mKdV equation are derived from nonlinear analysis. Then, the energy consumption and the stability in car-following models considering the optimal velocity difference and a two-velocity difference are discussed. Moreover, numerical simulation shows that the new model can improve the stability of traffic flow, which is consistent with the theoretical analysis.
引用
收藏
页码：2253 / 2262
页数：9
相关论文
共 50 条
  • [41] Microscopic Evaluation of Extended Car-following Model in Multi-lane Roads
    Lazar, Hajar
    Rhoulami, Khadija
    Rahmani, Moulay Driss
    INFORMATICA-JOURNAL OF COMPUTING AND INFORMATICS, 2018, 42 (01): : 117 - 125
  • [42] An extended car-following model based on visual angle and backward looking effect
    Hou, Pei-guo
    Yu, Han-wei
    Yan, Chen
    Hong, Jia-yang
    CHINESE JOURNAL OF PHYSICS, 2017, 55 (05) : 2092 - 2099
  • [43] An extended car-following model with consideration of the electric vehicle's driving range
    Tang, Tie-Qiao
    Chen, Liang
    Yang, Shi-Chun
    Shang, Hua-Yan
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2015, 430 : 148 - 155
  • [44] An Extended Car-Following Model Based on Visual Angle and Electronic Throttle Effect
    Ge, Hongxia
    Li, Siteng
    Yan, Chunyue
    MATHEMATICS, 2021, 9 (22)
  • [45] An extended heterogeneous car-following model with the consideration of the drivers' different psychological headways
    Wang, Jufeng
    Sun, Fengxin
    Cheng, Rongjun
    Ge, Hongxia
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 506 : 1113 - 1125
  • [46] An Extended Car-Following Model With Consideration of the Driver's Memory and Control Strategy
    Zheng, Yi-ming
    Cheng, Rong-jun
    Ge, Hong-xia
    Lo, Siu-ming
    ASIAN JOURNAL OF CONTROL, 2018, 20 (02) : 689 - 696
  • [47] An Intelligent Evolving Car-Following Model
    Abdollahzade, Majid
    Kazemi, Reza
    IEEE ACCESS, 2023, 11 : 506 - 516
  • [48] A novel nonlinear car-following model
    Addison, PS
    Low, DJ
    CHAOS, 1998, 8 (04) : 791 - 799
  • [49] Car-following model for motorway traffic
    Wang, J
    Liu, RH
    Montgomery, F
    TRAFFIC FLOW THEORY 2005, 2005, (1934): : 33 - 42
  • [50] A model of car-following behavior at sags
    Faculty of Civil Engineering and Geosciences, Department of Transport and Planning, Delft University of Technology, Stevinweg 1, Delft
    2628 CN, Netherlands
    Traffic Granul. Flow, 1600, (385-393):
12345