Abstract
An important task of Internet congestion control is inhibiting sporadic data flow to maintain a suitable window size or route queue length. Such a requirement is just consistent with the basic idea and function of a moving average filter. In this paper one prior Internet congestion control model, named transmission control protocol (TCP)/random early detection (RED) stroboscopic model, is studied, and then one new scheme is proposed to enlarge its stable domain, where a simple moving average filter is introduced to inhibit sporadic data flow as possible. In the novel scheme the bifurcation phenomenon is postponed without any extra controller. The effectiveness of the new scheme is verified by theoretical analyses and numerical simulations.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Ott E. Chaos in dynamical systems [M]. 2nd ed. Cambridge: Cambridge University Press, 2002.
Jacobson V. Congestion avoidance and control [J]. ACM Computer Communication Review, 1998, 18(4): 314–329.
Floyd S, Jacobson V. Random early detection gateways for congestion avoidance [J]. IEEE/ACM Transaction on Networking, 1993, 1(4): 397–413.
Chen L, Wang X F, Han Z Z. Controlling bifurcation and chaos in Internet congestion control model [J]. International Journal of Bifurcation and Chaos, 2004, 14: 1863–1876.
Ding D W, Zhu J, Luo X S, et al. Controlling chaos in mixed TCP and UDP model based on TDFC method [J]. Dynamics of Continuous, Discrete and Impulsive Systems B, 2007, 14(7): 126–130.
Ranjan P, Abed E H, La R. Nonlinear instabilities in TCP-RED [J]. IEEE Transaction on Networking, 2004, 12: 1079–1092.
Liu M J, Marciello A, Bernardo D M, et al. Discontinuity-induced bifurcations in TCP/RED communication algorithms [C]// IEEE International Symposium on Circuits and Systems. Kos Island Greece: IEEE, 2006: 2629–2632.
Ding D W, Zhu J, Luo X S. Hybrid control of bifurcation and chaos in stroboscopic model of Internet congestion control system [J]. Chinese Physics B, 2008, 17(1): 105–110.
Liu Y L, Zhu J, Lou X S. Bifurcation and stability of an improved time-delayed fluid flow model in internet congestion control [J]. Chinese Physics B, 2009, 18(9): 2272–2276.
Zhu L N, Peng H, Zhu S D, et al. A DDoS intrusion detection method based improved slip average filter [J]. Microcomputer Information, 2006, 11(3): 71–73 (in Chinese).
Arce G R, Barner K E, Ma L P, et al. RED gateway congestion control using median queue size estimates [J]. IEEE Transaction on Signal Processing, 2003, 51(8): 2149–2164.
Liu Y L, Zhu J, Ding D W. Adaptive synchronization of chaotic Chen system with uncertain parameters [J]. Journal of China Universities of Posts and Telecommunications, 2007, 14(2): 103–105.
Liu Y L, Zhu J, Ding D W. Synchronization research of a modified time-delayed multi-agent network model [J]. Journal of Shanghai Jiaotong University (Science), 2009, 14(3): 321–324.
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation item: the National Natural Science Foundation of China (No. 70571017) and the Research Foundation from Provincial Education Department of Zhejiang of China (No. 20070928)
Rights and permissions
About this article
Cite this article
Liu, Yl., Zhu, J., Zhan, Zq. et al. Improved scheme of internet congestion control under moving average filter. J. Shanghai Jiaotong Univ. (Sci.) 14, 641–644 (2009). https://doi.org/10.1007/s12204-009-0641-y
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12204-009-0641-y