A new lattice hydrodynamic traffic flow model with a consideration of multi-anticipation effect

doi:10.1088/1674-1056/20/8/088902

Abstract We present a new multi-anticipation lattice hydrodynamic model based on the traffic anticipation effect in the real world. Applying the linear stability theory, we obtain the linear stability condition of the model. Through nonlinear analysis, we derive the modified Korteweg-de Vries equation to describe the propagating behaviour of a traffic density wave near the critical point. The good agreement between the simulation results and the analytical results shows that the stability of traffic flow can be enhanced when the multi-anticipation effect is considered.

Keywords: traffic flow lattice hydrodynamic model simulation

Received: 09 December 2010
Revised: 25 February 2011
Accepted manuscript online:

PACS:	89.40.-a	(Transportation)
	45.70.Vn	(Granular models of complex systems; traffic flow)
	05.70.Fh	(Phase transitions: general studies)

Fund: Project supported by the National High Technology and Development Program of China (Grant No. 511-0910-1031) and Doctoral Fund of Ministry of Education of China (Grant No. 20090191110022).

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Tian Chuan(田川), Sun Di-Hua(孙棣华), and Yang Shu-Hong(阳树洪) A new lattice hydrodynamic traffic flow model with a consideration of multi-anticipation effect 2011 Chin. Phys. B 20 088902

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A new lattice hydrodynamic traffic flow model with a consideration of multi-anticipation effect

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