A new lattice hydrodynamic model accounting for the traffic interruption probability on a gradient highway

被引：35
|
作者：
Wang, Qingying [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, Subctr, Natl Traff Management Engn & Technol Res Ctr, Ningbo 315211, Zhejiang, Peoples R China
来源：
PHYSICS LETTERS A | 2019年 / 383卷 / 16期
基金：
中国国家自然科学基金;
关键词：
Traffic flow; Lattice hydrodynamic; The traffic interruption probability; Gradient highway; CAR-FOLLOWING MODEL; VELOCITY DIFFERENCE MODEL; DRIVERS BOUNDED RATIONALITY; EXTENDED CONTINUUM MODEL; DELAYED-FEEDBACK-CONTROL; KDV-BURGERS EQUATION; NONLINEAR-ANALYSIS; FLOW MODEL; DENSITY DIFFERENCE; JAMMING TRANSITION;
D O I：
10.1016/j.physleta.2019.03.019
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, a novel lattice hydrodynamic model is presented by accounting for the traffic interruption probability on a gradient highway. The stability condition can be obtained by the use of linear analysis. Linear analysis demonstrates that the traffic interruption probability and the slope will affect the stability region. Through nonlinear analysis, the mKdV equation is derived to describe the phase transition of traffic flow. Furthermore, the numerical simulation is carried out, and the results are consistent with the analytical results. Numerical results demonstrate that the traffic flow can be efficiently improved by accounting for the traffic interruption probability on a gradient highway. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：1879 / 1887
页数：9
相关论文
共 50 条
  • [1] Incorporating the traffic interruption probability effect during evolution process in two-lane lattice hydrodynamic model
    Li, Yuxuan
    Zhou, Tong
    Peng, Guanghan
    INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2023, 34 (03):
  • [2] Lattice hydrodynamic model-based feedback control method with traffic interruption probability
    Zhai, Cong
    Wu, Weitiao
    MODERN PHYSICS LETTERS B, 2019, 33 (23):
  • [3] An improved lattice hydrodynamic model considering the "backward looking" effect and the traffic interruption probability
    Jiang, Changtao
    Cheng, Rongjun
    Ge, Hongxia
    NONLINEAR DYNAMICS, 2018, 91 (02) : 777 - 784
  • [4] Effects of speed deviation and density difference in traffic lattice hydrodynamic model with interruption
    Jiang, Changtao
    Cheng, Rongjun
    Ge, Hongxia
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 506 : 900 - 908
  • [5] A new lattice model of traffic flow with the consideration of the traffic interruption probability
    Peng, G. H.
    Cai, X. H.
    Cao, B. F.
    Liu, C. Q.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2012, 391 (03) : 656 - 663
  • [6] Analyses of Lattice Traffic Flow Model on a Gradient Highway
    Gupta, Arvind Kumar
    Sharma, Sapna
    Redhu, Poonam
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2014, 62 (03) : 393 - 404
  • [7] Effect of explicit lane changing in traffic lattice hydrodynamic model with interruption
    Sun, Di-Hua
    Zhang, Geng
    Liu, Wei-Ning
    Zhao, Min
    Cheng, Sen-Lin
    Zhou, Tong
    NONLINEAR DYNAMICS, 2016, 86 (01) : 269 - 282
  • [8] An extended lattice model accounting for traffic jerk
    Redhu, Poonam
    Siwach, Vikash
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 492 : 1473 - 1480
  • [9] A new lattice model with the consideration of the traffic interruption probability for two-lane traffic flow
    Peng, Guang-Han
    He, Hong-Di
    Lu, Wei-Zhen
    NONLINEAR DYNAMICS, 2015, 81 (1-2) : 417 - 424
  • [10] An improved lattice hydrodynamic model considering the “backward looking” effect and the traffic interruption probability
    Changtao Jiang
    Rongjun Cheng
    Hongxia Ge
    Nonlinear Dynamics, 2018, 91 : 777 - 784
12345