Practical Time-Scale Fitting of Self-Similar Traffic with Markov-Modulated Poisson Process (2001)
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BibTeX
@MISC{Yoshihara01practicaltime-scale,
author = {Tadafumi Yoshihara and Shoji Kasahara and Yutaka Takahashi},
title = {Practical Time-Scale Fitting of Self-Similar Traffic with Markov-Modulated Poisson Process},
year = {2001}
}
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Abstract
Recent measurements of packet/cell... In this paper, we first give some definitions of selfsimilarity. Then, we propose a fitting method for the self-similar traffic in terms of Markov-modulated Poisson process (MMPP). We construct an MMPP as the superposition of two-state MMPPs and fit it so as to match the variance function over several time-scales. Numerical examples show that the variance function of the self-similar process can be well represented by that of resulting MMPPs. We also examine the queueing behavior of the resulting MMPP/D/1 queueing systems. We compare the analytical results of MMPP/D/1 with the simulation ones of the queueing system with self-similar input.
