中国物理B ›› 2009, Vol. 18 ›› Issue (7): 2703-2708.doi: 10.1088/1674-1056/18/7/013

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Dynamic characteristics and simulation of traffic flow with slope

何红弟1, 卢伟真1, 薛郁2, 董力耘3   

  1. (1)Department of Building and Construction, City University of Hong Kong, Hong Kong, China; (2)Department of Physical, University of Guang Xi, Nanning 530004, China; (3)Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
  • 收稿日期:2008-09-26 修回日期:2008-12-18 出版日期:2009-07-20 发布日期:2009-07-20
  • 基金资助:
    Project supported partially by the Strategic Research Grants from City University of Hong Kong (Grant Nos SRG 7002226(BC) and SRG 7002370(BC)), and the National Natural Science Foundation of China (Grant Nos 10662002, 10672098 and 10532020).

Dynamic characteristics and simulation of traffic flow with slope

He Hong-Di(何红弟)a), Lu Wei-Zhen(卢伟真)a)†, Xue Yu(薛郁)b), and Dong Li-Yun(董力耘)c)   

  1. a Department of Building and Construction, City University of Hong Kong, Hong Kong, China; b Department of Physical, University of Guang Xi, Nanning 530004, China; c Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
  • Received:2008-09-26 Revised:2008-12-18 Online:2009-07-20 Published:2009-07-20
  • Supported by:
    Project supported partially by the Strategic Research Grants from City University of Hong Kong (Grant Nos SRG 7002226(BC) and SRG 7002370(BC)), and the National Natural Science Foundation of China (Grant Nos 10662002, 10672098 and 10532020).

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摘要： This paper proposes a new traffic model to describe traffic flow with slope under consideration of the gravity effect. Based on the model, stability analysis is conducted and a numerical simulation is performed to explore the characteristics of the traffic flow with slope. The result shows that the perturbation of the system is an inherent one, which is induced by the slope. In addition, the hysteresis loop is represented through plotting the figure of velocity against headway and highly depends on the slope angle. The kinematic wave at high density is also obtained through reproducing the phenomenon of stop-and-go traffic, which is significant to explore the phase transition of traffic flow and the evolution of traffic congestion.

Abstract: This paper proposes a new traffic model to describe traffic flow with slope under consideration of the gravity effect. Based on the model, stability analysis is conducted and a numerical simulation is performed to explore the characteristics of the traffic flow with slope. The result shows that the perturbation of the system is an inherent one, which is induced by the slope. In addition, the hysteresis loop is represented through plotting the figure of velocity against headway and highly depends on the slope angle. The kinematic wave at high density is also obtained through reproducing the phenomenon of stop-and-go traffic, which is significant to explore the phase transition of traffic flow and the evolution of traffic congestion.

Key words: traffic flow, perturbation, stability analysis, slope

中图分类号:  (Granular models of complex systems; traffic flow)

  • 45.70.Vn
02.60.Cb (Numerical simulation; solution of equations)