中国物理B ›› 2010, Vol. 19 ›› Issue (5): 56401-056401.doi: 10.1088/1674-1056/19/5/056401

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇    下一篇

Stabilisation analysis of multiple car-following model in traffic flow

彭光含   

  1. College of Physics and Electronic Science, Hunan University of Arts and Science, Changde 415000, China
  • 收稿日期:2009-09-17 修回日期:2009-10-23 出版日期:2010-05-15 发布日期:2010-05-15
  • 基金资助:
    Project supported by the Natural Science Foundation of Hunan Province, China (Grant No.~07JJ6106), the Important Project of Scientific Research Foundation of Hunan University of Arts and Science, China (Grant No.~JJZD0902) and the Fund of the 11th Five-year Plan for Key Construction Academic Subject of Hunan Province, China (Grant No.~06GXCD02).

Stabilisation analysis of multiple car-following model in traffic flow

Peng Guang-Han(彭光含)†   

  1. College of Physics and Electronic Science, Hunan University of Arts and Science, Changde 415000, China
  • Received:2009-09-17 Revised:2009-10-23 Online:2010-05-15 Published:2010-05-15
  • Supported by:
    Project supported by the Natural Science Foundation of Hunan Province, China (Grant No.~07JJ6106), the Important Project of Scientific Research Foundation of Hunan University of Arts and Science, China (Grant No.~JJZD0902) and the Fund of the 11th Five-year Plan for Key Construction Academic Subject of Hunan Province, China (Grant No.~06GXCD02).

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摘要： An improved multiple car-following model is proposed by considering the arbitrary number of preceding cars, which includes both the headway and the velocity difference of multiple preceding cars. The stability condition of the extended model is obtained by using the linear stability theory. The modified Korteweg--de Vries equation is derived to describe the traffic behaviour near the critical point by applying the nonlinear analysis. Traffic flow can be also divided into three regions: stable, metastable and unstable regions. Numerical simulation is accordance with the analytical result for the model. And numerical simulation shows that the stabilisation of traffic is increasing by considering the information of more leading cars and there is unavoidable effect on traffic flow from the multiple leading cars' information.

Abstract: An improved multiple car-following model is proposed by considering the arbitrary number of preceding cars, which includes both the headway and the velocity difference of multiple preceding cars. The stability condition of the extended model is obtained by using the linear stability theory. The modified Korteweg--de Vries equation is derived to describe the traffic behaviour near the critical point by applying the nonlinear analysis. Traffic flow can be also divided into three regions: stable, metastable and unstable regions. Numerical simulation is accordance with the analytical result for the model. And numerical simulation shows that the stabilisation of traffic is increasing by considering the information of more leading cars and there is unavoidable effect on traffic flow from the multiple leading cars' information.

Key words: traffic flow, optimal velocity model, numerical simulation

中图分类号:  (Land transportation)

  • 89.40.Bb
02.60.Cb (Numerical simulation; solution of equations)