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Chin. Phys. B, 2011, Vol. 20(8): 088902    DOI: 10.1088/1674-1056/20/8/088902
INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY Prev   Next  

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

Tian Chuana, Sun Di-Huaa, Yang Shu-Hongb
a College of Automation, Chongqing University, Chongqing 400030, China; b College of Computer, Chongqing University, Chongqing 400030, China
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      Published:  15 August 2011
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).

Cite this article: 

Tian Chuan, Sun Di-Hua, Yang Shu-Hong A new lattice hydrodynamic traffic flow model with a consideration of multi-anticipation effect 2011 Chin. Phys. B 20 088902

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