Effects of speed deviation and density difference in traffic lattice hydrodynamic model with interruption

被引:20
作者
Jiang, Changtao
Cheng, Rongjun
Ge, Hongxia [1 ]
机构
[1] Ningbo Univ, Fac Maritime & Transportat, Ningbo 315211, Zhejiang, Peoples R China
基金
中国国家自然科学基金;
关键词
Traffic flow; mKdV equation; Speed deviation; Density difference; CAR-FOLLOWING MODEL; DRIVERS BOUNDED RATIONALITY; INTER-VEHICLE COMMUNICATION; FLOW MODEL; CELLULAR-AUTOMATON; OPTIMAL VELOCITY; MKDV EQUATIONS; MACRO MODEL; PROBABILITY; CONGESTION;
D O I
10.1016/j.physa.2018.05.023
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An extended lattice hydrodynamic model is proposed by incorporating the effects of speed deviation, traffic interruption probability and the density difference between the leading and the following lattice. The stability condition of the extended model is obtained by using the linear stability theory. Based on nonlinear analysis method, the mKdV equation is derived. Therefore, the propagation behavior of traffic jam can be described by the kink-antikink soliton solution of the mKdV equation. Numerical simulation demonstrated that the traffic flow will be more stable and it is more consistent with real traffic with the consideration of effects of speed deviation and traffic interruption probability and the density difference. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码:900 / 908
页数:9
相关论文
共 53 条
  • [1] DYNAMICAL MODEL OF TRAFFIC CONGESTION AND NUMERICAL-SIMULATION
    BANDO, M
    HASEBE, K
    NAKAYAMA, A
    SHIBATA, A
    SUGIYAMA, Y
    [J]. PHYSICAL REVIEW E, 1995, 51 (02): : 1035 - 1042
  • [2] An extended continuum model accounting for the driver's timid and aggressive attributions
    Cheng, Rongjun
    Ge, Hongxia
    Wang, Jufeng
    [J]. PHYSICS LETTERS A, 2017, 381 (15) : 1302 - 1312
  • [3] A simple stochastic cellular automaton for synchronized traffic flow
    Chmura, Thorsten
    Herz, Benedikt
    Knorr, Florian
    Pitz, Thomas
    Schreckenberg, Michael
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2014, 405 : 332 - 337
  • [4] Cellular automata based traffic model that allows the cars to move with a small velocity during congestion
    Das, Sukanta
    [J]. CHAOS SOLITONS & FRACTALS, 2011, 44 (4-5) : 185 - 190
  • [5] Time-dependent Ginzburg-Landau equation for lattice hydrodynamic model describing pedestrian flow
    Ge Hong-Xia
    Cheng Rong-Jun
    Lo Siu-Ming
    [J]. CHINESE PHYSICS B, 2013, 22 (07)
  • [6] Ge HX, 2004, PHYS REV E, V70, DOI 10.1103/PhysRevE.70.066134
  • [7] A TRAFFIC FLOW MODEL WITH NON-SMOOTH METRIC INTERACTION: WELL-POSEDNESS AND MICRO-MACRO LIMIT
    Goatin, Paola
    Rossi, Francesco
    [J]. COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2017, 15 (01) : 261 - 287
  • [8] Generalized force model of traffic dynamics
    Helbing, D
    Tilch, B
    [J]. PHYSICAL REVIEW E, 1998, 58 (01): : 133 - 138
  • [9] The "backward looking" effect in the lattice hydrodynamic model
    Hong-Xia, Ge
    Rong-Jun, Cheng
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (28) : 6952 - 6958
  • [10] Full velocity difference model for a car-following theory
    Jiang, R
    Wu, QS
    Zhu, ZJ
    [J]. PHYSICAL REVIEW E, 2001, 64 (01): : 4 - 017101