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
  • [21] A new car-following model with consideration of the traffic interruption probability
    唐铁桥
    黄海军
    黄仕进
    姜锐
    Chinese Physics B, 2009, 18 (03) : 975 - 983
  • [22] New control strategy for the lattice hydrodynamic model of traffic flow
    Zhu, Chenqiang
    Zhong, Shiquan
    Li, Guangyu
    Ma, Shoufeng
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2017, 468 : 445 - 453
  • [23] Traffic Anticipation Effect in the Lattice Hydrodynamic Model
    Ge, Hong-xia
    TRAFFIC AND GRANULAR FLOW '07, 2009, : 293 - 299
  • [24] An extended lattice model accounting for traffic jerk
    Redhu, Poonam
    Siwach, Vikash
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 492 : 1473 - 1480
  • [25] Feedback control pattern for a new lattice hydrodynamic model accounting for historic evolution information
    Peng, Guanghan
    Yang, Shuhong
    Qing, Li
    INTERNATIONAL JOURNAL OF CONTROL, 2020, 93 (10) : 2370 - 2377
  • [26] A new car-following model with driver's anticipation effect of traffic interruption probability*
    Peng, Guang-Han
    CHINESE PHYSICS B, 2020, 29 (08)
  • [27] A new car-following model with driver's anticipation effect of traffic interruption probability
    彭光含
    Chinese Physics B, 2020, 29 (08) : 406 - 411
  • [28] A route-based traffic flow model accounting for interruption factors
    Tang, Tie-Qiao
    Shi, Wei-Fang
    Huang, Hai-Jun
    Wu, Wen-Xiang
    Song, Ziqi
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 514 (767-785) : 767 - 785
  • [29] Effect of the upstream traffic condition on traffic congestion in lattice hydrodynamic model
    Song, Bo
    Tian, Junfang
    Zhu, Chenqiang
    MODERN PHYSICS LETTERS B, 2019, 33 (13):
  • [30] A novel two-lane lattice hydrodynamic model on a gradient road considering heterogeneous traffic flow
    Liu, Huimin
    Cheng, Rongjun
    Ge, Hongxia
    MODERN PHYSICS LETTERS B, 2021, 35 (20):
12345