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
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