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
相关论文
共 50 条
  • [31] Erratum to: Analysis of a new two-lane lattice hydrodynamic model with consideration of the global average flux
    Geng Zhang
    Di-Hua Sun
    Wei-Ning Liu
    Nonlinear Dynamics, 2016, 83 : 1783 - 1783
  • [32] The stabilization effect of self-delayed flux integral for two-lane lattice hydrodynamic model
    Liu, Changqing
    He, Yigang
    Peng, Guanghan
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 535
  • [33] Congested traffic patterns of two-lane lattice hydrodynamic model with on-ramp
    Tao Wang
    Jing Zhang
    Ziyou Gao
    Wenyi Zhang
    Shubin Li
    Nonlinear Dynamics, 2017, 88 : 1345 - 1359
  • [34] A two-lane lattice hydrodynamic model considering multiple information of preceding cars
    Yan-Hong Wang
    Zhi-Ming Zhang
    Nonlinear Dynamics, 2015, 81 : 1907 - 1919
  • [35] Analysis of average density difference effect in a new two-lane lattice model
    Zhang, Geng
    Sun, Di-Hua
    Zhao, Min
    Liu, Wei-Ning
    Cheng, Sen-Lin
    INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2015, 26 (06):
  • [36] A New Lattice Model of Two-Lane Traffic Flow with the Consideration of the Honk Effect
    Peng Guang-Han
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2013, 60 (04) : 485 - 490
  • [37] A two-lane lattice hydrodynamic model considering multiple information of preceding cars
    Wang, Yan-Hong
    Zhang, Zhi-Ming
    NONLINEAR DYNAMICS, 2015, 81 (04) : 1907 - 1919
  • [38] Congested traffic patterns of two-lane lattice hydrodynamic model with on-ramp
    Wang, Tao
    Zhang, Jing
    Gao, Ziyou
    Zhang, Wenyi
    Li, Shubin
    NONLINEAR DYNAMICS, 2017, 88 (02) : 1345 - 1359
  • [39] Nonlinear analysis of a new two-lane lattice hydrodynamic model accounting for "backward looking" effect and relative flow information
    Qi, Xinyue
    Cheng, Rongjun
    Ge, Hongxia
    MODERN PHYSICS LETTERS B, 2019, 33 (19):
  • [40] A New Two-Lane Lattice Hydrodynamic Model considering the Traffic Interruption Probability under Honk Environment
    Wang, Qingying
    Ge, Hongxia
    Cheng, Rongjun
    COMPLEXITY, 2020, 2020