Curved road traffic flow car-following model and stability analysis

被引：9
|
作者：
Zhang Li-Dong [1 ,2 ]
Jia Lei [1 ]
Zhu Wen-Xing [1 ]
机构：
[1] Shandong Univ, Inst Control Sci & Engn, Jinan 250061, Peoples R China
[2] Shandong Comp Sci Ctr, Jinan 250014, Peoples R China
来源：
ACTA PHYSICA SINICA | 2012年 / 61卷 / 07期
基金：
中国国家自然科学基金;
关键词：
traffic flow model; car-following model; curve road; stability analysis; DYNAMICAL MODEL; VELOCITY; WAVES; TIME;
D O I：
10.7498/aps.61.074501
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
To find the characteristics of curved road traffic flow, we propose a new car-following model based on the typical full velocity difference model, and analyze the model stability condition with system state space method and control system stability criteria. With numerical simulation, the stability and feasibility of the model are proved. Under the condition of same initialization traffic flow density, with the increase of road curve, traffic flow stability decreases. Our study is greatly helpful for traffic control and management at road curve site.
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页数：6
相关论文
共 20 条
  • [1] Kinetic model of network traffic
    Antoniou, I
    Ivanov, VV
    Kalinovsky, YL
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2002, 308 (1-4) : 533 - 544
  • [2] DYNAMICAL MODEL OF TRAFFIC CONGESTION AND NUMERICAL-SIMULATION
    BANDO, M
    HASEBE, K
    NAKAYAMA, A
    SHIBATA, A
    SUGIYAMA, Y
    [J]. PHYSICAL REVIEW E, 1995, 51 (02): : 1035 - 1042
  • [3] BANDO M, 1995, J PHYS I, V5, P1389, DOI 10.1051/jp1:1995206
  • [4] Dirk H, 1998, PHYS REV E, V58, P133
  • [5] Considering two-velocity difference effect for coupled map car-following model
    Ge Hong-Xia
    Cheng Rong-Jun
    Li Zhi-Peng
    [J]. ACTA PHYSICA SINICA, 2011, 60 (08)
  • [6] Greenshields B D, 1935, P HIGHWAY RES BOARD, V18, P448
  • [7] Full velocity difference model for a car-following theory
    Jiang, R
    Wu, QS
    Zhu, ZJ
    [J]. PHYSICAL REVIEW E, 2001, 64 (01): : 4 - 017101
  • [8] Study on the traffic flow of weaving section in elevated road system with cellular automaton model
    Lei, L
    Dong, LY
    Song, T
    Dai, SQ
    [J]. ACTA PHYSICA SINICA, 2006, 55 (04) : 1711 - 1717
  • [9] Study on traffic flow affected by the road turning
    Liang Yu-Juan
    Xue Yu
    [J]. ACTA PHYSICA SINICA, 2010, 59 (08) : 5325 - 5331
  • [10] ON KINEMATIC WAVES .2. A THEORY OF TRAFFIC FLOW ON LONG CROWDED ROADS
    LIGHTHILL, MJ
    WHITHAM, GB
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1955, 229 (1178): : 317 - 345
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