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Time-series analysis of TCP/RED computer networks, an empirical study

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  • Bigdeli, Nooshin
  • Haeri, Mohammad

Abstract

Packet-level observations show that the TCP/RED congestion control systems exhibit complex non-periodic oscillations which vary with the network/RED parameter variations. In this paper, it is investigated whether such complex behaviors are due to nonlinear deterministic chaotic dynamics or do they originate from nonlinear stochastic dynamics. To do this, various methods of linear and nonlinear time series analyses have been applied to the packet-level data gathered from a typical network simulated in ns-2. The results of the analysis for a wide range of variations in averaging weight of RED (as the most important bifurcation factor in TCP/RED networks) show that such behaviors are not due to deterministic chaos in the system, but originate from the stochastic nature of the network.

Suggested Citation

  • Bigdeli, Nooshin & Haeri, Mohammad, 2009. "Time-series analysis of TCP/RED computer networks, an empirical study," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 784-800.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:2:p:784-800
    DOI: 10.1016/j.chaos.2007.01.080
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    1. Tung, Wen-wen & Qi, Yan & Gao, J.B. & Cao, Yinhe & Billings, Lora, 2005. "Direct characterization of chaotic and stochastic dynamics in a population model with strong periodicity," Chaos, Solitons & Fractals, Elsevier, vol. 24(2), pages 645-652.
    2. Wang, Zhanfeng & Chu, Tianguang, 2006. "Delay induced Hopf bifurcation in a simplified network congestion control model," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 161-172.
    3. Leung, H.K., 1995. "Stochastic transient of a noisy van der Pol oscillator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 221(1), pages 340-347.
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    Cited by:

    1. Chen, Chang-Kuo & Liao, Teh-Lu & Yan, Jun-Juh, 2009. "Active queue management controller design for TCP communication networks: Variable structure control approach," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 277-285.
    2. Bigdeli, N. & Afshar, K., 2009. "Chaotic behavior of price in the power markets with pay-as-bid payment mechanism," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2560-2569.

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