Segment-based adaptive hyper-Erlang model for long-tailed network traffic approximation

  • Authors:
  • Junfeng Wang;Jin Liu;Chundong She

  • Affiliations:
  • College of Computer Science, Sichuan University, Chengdu, China 610064;State Key Laboratory of Software Engineering, Wuhan University, Wuhan, China 430072;Academy of Opto-Electronics, Chinese Academy of Sciences, Beijing, China 100080

  • Venue:
  • The Journal of Supercomputing
  • Year:
  • 2008

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Abstract

Modeling the long-tailedness property of network traffic with phase-type distributions is a powerful means to facilitate the consequent performance evaluation and queuing based analysis. This paper improves the recently proposed Fixed Hyper-Erlang model (FHE) by introducing an adaptive framework (Adaptive Hyper-Erlang model, AHE) to determine the crucially performance-sensitive model parameters. The adaptive model fits long-tailed traffic data set directly with a mixed Erlang distribution in a new divide-and-conquer manner. Compared with the well-known hyperexponential based models and the Fixed Hyper-Erlang model, the Adaptive Hyper-Erlang model is more flexible and practicable in addition to its accuracy in fitting the tail behavior.