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)
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
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.
Received: 26 September 2008
Revised: 18 December 2008
Accepted manuscript online:
PACS:
45.70.Vn
(Granular models of complex systems; traffic flow)
Fund: 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).
Cite this article:
He Hong-Di(何红弟), Lu Wei-Zhen(卢伟真), Xue Yu(薛郁), and Dong Li-Yun(董力耘) Dynamic characteristics and simulation of traffic flow with slope 2009 Chin. Phys. B 18 2703
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
