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)
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
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.
Received: 15 January 2009
Revised: 07 March 2009
Accepted manuscript online:
PACS:
47.20.Ky
(Nonlinearity, bifurcation, and symmetry breaking)
Fund: 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).
Cite this article:
Liu Yu-Liang(刘玉良), Zhu Jie(朱杰), and Luo Xiao-Shu(罗晓曙) Bifurcation and stability of an improved time-delayed fluid flow model in internet congestion control 2009 Chin. Phys. B 18 3772
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