中国物理B ›› 2011, Vol. 20 ›› Issue (8): 88902-088902.doi: 10.1088/1674-1056/20/8/088902

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇    下一篇

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

田川1, 孙棣华1, 阳树洪2   

  1. (1)College of Automation, Chongqing University, Chongqing 400030, China; (2)College of Computer, Chongqing University, Chongqing 400030, China
  • 收稿日期:2010-12-09 修回日期:2011-02-25 出版日期:2011-08-15 发布日期:2011-08-15
  • 基金资助:
    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).

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

Tian Chuan(田川)a)†, Sun Di-Hua(孙棣华) a), and Yang Shu-Hong(阳树洪)b)   

  1. a College of Automation, Chongqing University, Chongqing 400030, China; b College of Computer, Chongqing University, Chongqing 400030, China
  • Received:2010-12-09 Revised:2011-02-25 Online:2011-08-15 Published:2011-08-15
  • Supported by:
    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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摘要： 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.

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.

Key words: traffic flow, lattice hydrodynamic model, simulation

中图分类号:  (Transportation)

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