A traffic flow lattice model considering relative current influence and its numerical simulation

doi:10.1088/1674-1056/19/8/080514

中国物理B ›› 2010, Vol. 19 ›› Issue (8): 80514-080514.doi: 10.1088/1674-1056/19/8/080514

A traffic flow lattice model considering relative current influence and its numerical simulation

孙棣华¹, 田川¹, 刘卫宁²

(1)College of Automation, Chongqing University, Chongqing 400030, China; (2)College of Computer, Chongqing University, Chongqing 400030, China

收稿日期:2009-12-11 修回日期:2010-01-06 出版日期:2010-08-15 发布日期:2010-08-15
基金资助:
Project supported by the National High Technology Research and Development Program of China (Grant No. 511-0910-1031).

A traffic flow lattice model considering relative current influence and its numerical simulation

Sun Di-Hua(孙棣华)^a), Tian Chuan(田川)^a)†, and Liu Wei-Ning(刘卫宁)^b)

^a College of Automation, Chongqing University, Chongqing 400030, China; ^b College of Computer, Chongqing University, Chongqing 400030, China

Received:2009-12-11 Revised:2010-01-06 Online:2010-08-15 Published:2010-08-15
Supported by:
Project supported by the National High Technology Research and Development Program of China (Grant No. 511-0910-1031).

摘要/Abstract

摘要： Based on Xue's lattice model, an extended lattice model is proposed by considering the relative current information about next-nearest-neighbour sites ahead. The linear stability condition of the presented model is obtained by employing the linear stability theory. The density wave is investigated analytically with the perturbation method. The results show that the occurrence of traffic jamming transitions can be described by the kink–antikink solution of the modified Korteweg-de Vries (mKdV) equation. The simulation results are in good agreement with the analytical results, showing that the stability of traffic flow can be enhanced when the relative current of next-nearest-neighbour sites ahead is considered.

Abstract: Based on Xue's lattice model, an extended lattice model is proposed by considering the relative current information about next-nearest-neighbour sites ahead. The linear stability condition of the presented model is obtained by employing the linear stability theory. The density wave is investigated analytically with the perturbation method. The results show that the occurrence of traffic jamming transitions can be described by the kink–antikink solution of the modified Korteweg-de Vries (mKdV) equation. The simulation results are in good agreement with the analytical results, showing that the stability of traffic flow can be enhanced when the relative current of next-nearest-neighbour sites ahead is considered.

Key words: traffic flow, relative current, lattice model, numerical simulation

中图分类号: (Lattice theory and statistics)

05.50.+q

02.60.Cb (Numerical simulation; solution of equations) 84.40.Xb (Telemetry: remote control, remote sensing; radar)

孙棣华, 田川, 刘卫宁. A traffic flow lattice model considering relative current influence and its numerical simulation[J]. 中国物理B, 2010, 19(8): 80514-080514.

Sun Di-Hua(孙棣华), Tian Chuan(田川), and Liu Wei-Ning(刘卫宁). A traffic flow lattice model considering relative current influence and its numerical simulation[J]. Chin. Phys. B, 2010, 19(8): 80514-080514.

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A traffic flow lattice model considering relative current influence and its numerical simulation

A traffic flow lattice model considering relative current influence and its numerical simulation

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