Approximation of probability distribution functions by Coxian distribution to evaluate multimedia systems

It has been reported in several studies that the probability distribution functions for interarrival times of tasks in multimedia systems cannot be represented by traditional probability distribution functions, such as exponential ones. In this paper we propose an approximation method, based on the...

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Bibliographic Details
Published in:Systems and computers in Japan 2004-02, Vol.35 (2), p.16-24
Main Authors: Sasaki, Yukie, Imai, Hiroei, Tsunoyama, Masahiro, Ishii, Ikuo
Format: Article
Language:English
Subjects:
Coxian distribution
dependable system
long-tail distribution
multimedia system
system evaluation
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Summary:It has been reported in several studies that the probability distribution functions for interarrival times of tasks in multimedia systems cannot be represented by traditional probability distribution functions, such as exponential ones. In this paper we propose an approximation method, based on the Coxian distribution function, to calculate the probability distribution functions used in analyzing multimedia systems. Although the Coxian function can represent arbitrary distribution functions, it is difficult to determine their parameters directly from a given distribution function. In this work, this drawback is remedied by first approximating the given distribution function with a linear combination of Erlang function, and then converting it to a Coxian function. We also present examples of the approximation and evaluate its accuracy. © 2004 Wiley Periodicals, Inc. Syst Comp Jpn, 35(2): 16–24, 2003; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/scj.10446
ISSN:0882-1666
1520-684X
DOI:10.1002/scj.10446