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

被引:39
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
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
[31]   An extended two-lane lattice hydrodynamic model for traffic flow on curved road with passing [J].
Wang, Ting ;
Cheng, Rongjun ;
Ge, Hongxia .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 533
[32]   An improved lattice hydrodynamic model accounting for the effect of "backward looking" and flow integral [J].
Wang, Qingying ;
Ge, Hongxia .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 513 :438-446
[33]   A Lattice Hydrodynamic Model for Traffic Flow Accounting for Driver Anticipation Effect of the Next-Nearest-Neighbor Site [J].
Peng Guang-Han ;
Nie Fang-Yan ;
Wang Sheng-Hui .
COMMUNICATIONS IN THEORETICAL PHYSICS, 2013, 60 (06) :707-713
[34]   A new lattice hydrodynamic model considering the effects of bilateral gaps on vehicular traffic flow [J].
Li, Yongfu ;
Song, Yu ;
Yang, Bin ;
Zheng, Taixiong ;
Feng, Huizong ;
Li, Yinguo .
NONLINEAR DYNAMICS, 2017, 87 (01) :1-11
[35]   The impact of the density difference memory integral on traffic stability in two-lane lattice hydrodynamic model [J].
Liu, Changqing ;
He, Yigang ;
Peng, Guanghan .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 532
[36]   The optimal estimation of delayed flux effect on traffic stability in lattice hydrodynamic model [J].
Peng, Qingwei ;
Zhao, Hongzhuan .
INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2023, 34 (12)
[37]   Lattice hydrodynamic model for traffic flow on curved road with passing [J].
Jin, Yue-Dan ;
Zhou, Jie ;
Shi, Zhong-Ke ;
Zhang, Hai-Liang ;
Wang, Chao-Ping .
NONLINEAR DYNAMICS, 2017, 89 (01) :107-124
[38]   THE TDGL EQUATION FOR CAR-FOLLOWING MODEL WITH CONSIDERATION OF THE TRAFFIC INTERRUPTION PROBABILITY [J].
Ge, Hong-Xia ;
Zhang, Yi-Qiang ;
Kuang, Hua ;
Lo, Siu-Ming .
INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2012, 23 (07)
[39]   A new lattice hydrodynamic model for two-lane traffic with the consideration of density difference effect [J].
Wang, Tao ;
Gao, Ziyou ;
Zhang, Jing ;
Zhao, Xiaomei .
NONLINEAR DYNAMICS, 2014, 75 (1-2) :27-34
[40]   A new car-following model with consideration of the traffic interruption probability [J].
Tang Tie-Qiao ;
Huang Hai-Jun ;
Wong, S. C. ;
Jiang Rui .
CHINESE PHYSICS B, 2009, 18 (03) :975-983