AN EXTENDED MACROSCOPIC MODEL FOR TRAFFIC FLOW ON A HIGHWAY WITH SLOPES

被引:20
|
作者
Chen, Jianzhong [1 ]
Shi, Zhongke [1 ]
Hu, Yanmei [2 ]
Yu, Lei [1 ]
Fang, Yuan [1 ]
机构
[1] Northwestern Polytech Univ, Coll Automat, Xian 710072, Shaanxi, Peoples R China
[2] Changan Univ, Coll Sci, Xian 710064, Shaanxi, Peoples R China
来源
基金
中国国家自然科学基金;
关键词
Macroscopic model; slope; traffic flow; car-following model; MACRO MODEL; WAVES; FORCE;
D O I
10.1142/S0129183113500617
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this paper, we present an extended car-following model with consideration of the gravitational force. A new macroscopic model taking into account the slope effects is developed using the relationship between the microscopic and macroscopic variables. The proposed model is applied to reflect the effect of the slope on uniform flow, traffic waves and small perturbation. The simulation results demonstrate that both the angle and the length of the slope have important impacts on traffic flow. The effect of the slope becomes more significant with the increase of the slope angle.
引用
收藏
页数:14
相关论文
共 50 条
  • [21] Impact of the Next-Nearest-Neighbor Interaction on Traffic Flow of Highway with Slopes
    Li Zhi-Peng
    Zhou Ying
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2012, 58 (04) : 590 - 598
  • [22] Integration of traffic flow macroscopic model and microscopic model
    Chen, Jianyang
    Tongji Daxue Xuebao/Journal of Tongji University, 1997, 25 (01): : 46 - 49
  • [23] A macroscopic traffic model for highway work zones: Formulations and numerical results
    Chang, Gang-len
    Zhu, Zuojin
    JOURNAL OF ADVANCED TRANSPORTATION, 2006, 40 (03) : 265 - 287
  • [24] A macroscopic traffic model for highway work zones: Formulations and numerical results
    Department of Civil Engineering, University of Maryland, College Park, United States
    不详
    J Adv Transp, 3 (265-287):
  • [25] Dynamic model of traffic flow on a circular highway
    Dorogush, E. G.
    DOKLADY MATHEMATICS, 2013, 88 (03) : 690 - 694
  • [26] Dynamic model of traffic flow on a circular highway
    E. G. Dorogush
    Doklady Mathematics, 2013, 88 : 690 - 694
  • [27] A speed-flow relationship model of highway traffic flow
    王炜
    李伟
    任刚
    Journal of Harbin Institute of Technology, 2005, (03) : 331 - 335
  • [28] A non-local macroscopic model for traffic flow
    Ciotir, Ioana
    Fayad, Rim
    Forcadel, Nicolas
    Tonnoir, Antoine
    ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS, 2021, 55 (02) : 689 - 711
  • [29] Wave properties of a traffic flow model on highway with ramps
    Tang, Tie-Qiao
    Huang, Hai-Jun
    Xu, Gang
    Zhang, Ying
    EPL, 2008, 84 (01)
  • [30] Analyses of Lattice Traffic Flow Model on a Gradient Highway
    Gupta, Arvind Kumar
    Sharma, Sapna
    Redhu, Poonam
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2014, 62 (03) : 393 - 404