Dynamic characteristics and simulation of traffic flow with slope |
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Authors: | He Hong-Di Lu Wei-Zhen Xue Yu and Dong Li-Yun |
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Institution: | Department of Building and Construction, City University of Hong Kong, Hong Kong, China; Department of Physical, University of Guang Xi, Nanning 530004, China; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
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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. |
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Keywords: | traffic flow perturbation stability analysis slope |
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