中国物理B ›› 2009, Vol. 18 ›› Issue (9): 3772-3776.doi: 10.1088/1674-1056/18/9/026

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Bifurcation and stability of an improved time-delayed fluid flow model in internet congestion control

朱杰1, 刘玉良2, 罗晓曙3   

  1. (1)Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai 200240, China; (2)Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;Department of Electronic Information, Zhejiang Ocean University, Zhoushan 316004, China; (3)Department of Physics and Electronic Science, Guangxi Normal University, Guilin 541004, China
  • 收稿日期:2009-01-15 修回日期:2009-03-07 出版日期:2009-09-20 发布日期:2009-09-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 70571017) and the Research Foundation from Provincial Education Department of Zhejiang of China (Grant No 21186000507).

Bifurcation and stability of an improved time-delayed fluid flow model in internet congestion control

Liu Yu-Liang(刘玉良)a)b)†, Zhu Jie(朱杰)a), and Luo Xiao-Shu(罗晓曙)c)   

  1. a Department of Electronic Engineering, Shanghai Jiao Tong University, Shanghai 200240, China; b Department of Electronic Information, Zhejiang Ocean University, Zhoushan 316004, China; c Department of Physics and Electronic Science, Guangxi Normal University, Guilin 541004, China
  • Received:2009-01-15 Revised:2009-03-07 Online:2009-09-20 Published:2009-09-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 70571017) and the Research Foundation from Provincial Education Department of Zhejiang of China (Grant No 21186000507).

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摘要： Based on the fluid flow time-delayed model proposed by Misra et al in internet congestion control, one modified time-delayed model is presented, where the influence of the communication delay on the router queue length is investigated in detail. The main advantage of the new model is that its stability domain is larger even without an extra controller. By linear stability analysis and numerical simulation, the effectiveness and feasibility of the novel model in internet congestion control are verified.

Abstract: Based on the fluid flow time-delayed model proposed by Misra et al in internet congestion control, one modified time-delayed model is presented, where the influence of the communication delay on the router queue length is investigated in detail. The main advantage of the new model is that its stability domain is larger even without an extra controller. By linear stability analysis and numerical simulation, the effectiveness and feasibility of the novel model in internet congestion control are verified.

Key words: fluid flow model, congestion control, time delay, Hopf bifurcation

中图分类号:  (Nonlinearity, bifurcation, and symmetry breaking)

  • 47.20.Ky
47.11.-j (Computational methods in fluid dynamics) 47.85.L- (Flow control)