Density waves in a lattice hydrodynamic traffic flow model with the anticipation effect

doi:10.1088/1674-1056/21/4/048901

中国物理B ›› 2012, Vol. 21 ›› Issue (4): 48901-048901.doi: 10.1088/1674-1056/21/4/048901

赵敏¹ ²,孙棣华¹ ²,田川¹

收稿日期:2011-07-16 修回日期:2011-10-21 出版日期:2012-02-29 发布日期:2012-02-29
通讯作者: 赵敏,min992215@163.com E-mail:min992215@163.com

Density waves in a lattice hydrodynamic traffic flow model with the anticipation effect

Zhao Min(赵敏)^a)b)†, Sun Di-Hua(孙棣华)^a)b), and Tian Chuan(田川)^a)

a. College of Automation, Chongqing University, Chongqing 400030, China;
b. Key Laboratory of Dependable Service Computing in Cyber Physical Society (Chongqing University), Ministry of Education, Chongqing 400030, China

Received:2011-07-16 Revised:2011-10-21 Online:2012-02-29 Published:2012-02-29
Contact: Zhao Min,min992215@163.com E-mail:min992215@163.com
Supported by:
Project supported by the Fundamental Research Funds for the Central Universities (Grant No. CDJZR11170002) and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20090191110022).

摘要/Abstract

Abstract: By introducing the traffic anticipation effect in the real world into the original lattice hydrodynamic model, we present a new anticipation effect lattice hydrodynamic (AELH) model, and obtain the linear stability condition of the model by applying the linear stability theory. Through nonlinear analysis, we derive the Burgers equation and Korteweg-de Vries (KdV) equation, to describe the propagating behaviour of traffic density waves in the stable and the metastable regions, respectively. The good agreement between simulation results and analytical results shows that the stability of traffic flow can be enhanced when the anticipation effect is considered.

Key words: traffic flow, lattice hydrodynamic model, density waves, anticipation effect

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)

赵敏, 孙棣华, 田川. [J]. 中国物理B, 2012, 21(4): 48901-048901.

Zhao Min(赵敏), Sun Di-Hua(孙棣华), and Tian Chuan(田川) . Density waves in a lattice hydrodynamic traffic flow model with the anticipation effect[J]. Chin. Phys. B, 2012, 21(4): 48901-048901.

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Density waves in a lattice hydrodynamic traffic flow model with the anticipation effect

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