A new lattice hydrodynamic model considering the effects of bilateral gaps on vehicular traffic flow

被引：16
|
作者：
Li, Yongfu [1 ]
Song, Yu [1 ]
Yang, Bin [2 ]
Zheng, Taixiong [2 ]
Feng, Huizong [1 ]
Li, Yinguo [1 ]
机构：
[1] Chongqing Univ Posts & Telecommun, Chongqing Collaborat Innovat Ctr Informat Commun, Coll Automat, Chongqing 400065, Peoples R China
[2] Chongqing Univ Posts & Telecommun, Coll Adv Mfg, Chongqing 400065, Peoples R China
来源：
NONLINEAR DYNAMICS | 2017年 / 87卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Lattice hydrodynamic model; Bilateral gaps; Linear stability analysis; Nonlinear analysis; MODIFIED KDV EQUATION; CAR-FOLLOWING MODEL; JAMMING TRANSITION; LANE WIDTH; DIFFERENCE; STABILITY; DELAY; TDGL;
D O I：
10.1007/s11071-016-2940-9
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This study proposes a new lattice hydrodynamic model considering the effects of bilateral gaps on a road without lane discipline. In particular, a lattice hydrodynamic model is proposed to capture the impacts from the lateral gaps of the right-side and left-side sites of the considered lattice sites. Linear stability analysis of the proposed model is performed using the perturbation method to obtain the stability condition. Nonlinear analysis of the proposed model is performed using the reductive perturbation method to derive the modified Korteweg-de Vries (mKdV) equation to characterize the density wave propagation. Results from numerical experiments illustrate that the smoothness and stability of the proposed model are improved compared with the model that considers the effect of unilateral gap. Also, the proposed model is able to more quickly dissipate the effect of perturbation occurring in the vehicular traffic flow.
引用
收藏
页码：1 / 11
页数：11
相关论文
共 50 条
  • [1] A new lattice hydrodynamic model considering the effects of bilateral gaps on vehicular traffic flow
    Yongfu Li
    Yu Song
    Bin Yang
    Taixiong Zheng
    Huizong Feng
    Yinguo Li
    Nonlinear Dynamics, 2017, 87 : 1 - 11
  • [2] Stability analysis for the lattice model considering the effects of bilateral gaps
    Li, Yongfu
    Song, Yu
    Zhu, Hao
    Sun, Fenglan
    PROCEEDINGS OF THE 28TH CHINESE CONTROL AND DECISION CONFERENCE (2016 CCDC), 2016, : 4433 - 4437
  • [3] Lattice hydrodynamic model based delay feedback control of vehicular traffic flow considering the effects of density change rate difference
    Li, Yongfu
    Zhang, Li
    Zheng, Taixiong
    Li, Yinguo
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 29 (1-3) : 224 - 232
  • [4] 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
  • [5] The impact of the individual difference on traffic flow under honk environment in lattice hydrodynamic model
    Peng, Guanghan
    Kuang, Hua
    Bai, Kezhao
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2019, 526
  • [6] 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):
  • [7] 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):
  • [8] A new lattice hydrodynamic traffic flow model with a consideration of multi-anticipation effect
    Tian Chuan
    Sun Di-Hua
    Yang Shu-Hong
    CHINESE PHYSICS B, 2011, 20 (08)
  • [9] Non-lane-based lattice hydrodynamic model of traffic flow considering the lateral effects of the lane width
    Peng, G. H.
    Cai, X. H.
    Cao, B. F.
    Liu, C. Q.
    PHYSICS LETTERS A, 2011, 375 (30-31) : 2823 - 2827
  • [10] Effect of density integration on the stability of a new lattice hydrodynamic model
    He, Yu-Chu
    Zhang, Geng
    Chen, Dong
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2019, 33 (09):
12345