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Conference paper

An application of superpositions of two-state Markovian sources to the modelling of self-similar behaviour

In Ieee Infocom Kobe, Japan — 1997, pp. 196-204
From

Department of Informatics and Mathematical Modeling, Technical University of Denmark1

We present a modelling framework and a fitting method for modelling second order self-similar behaviour with the Markovian arrival process (MAP). The fitting method is based on fitting to the autocorrelation function of counts a second order self-similar process. It is shown that with this fitting algorithm it is possible closely to match the autocorrelation function of counts for a second order self-similar process over 3-5 time-scales with 8-16 state MAPs with a very simple structure, i.e. a superposition of 3 and 4 interrupted Poisson processes (IPP) respectively and a Poisson process.

The fitting method seems to work well over the entire range of the Hurst (1951) parameter

Language: English
Publisher: IEEE Press
Year: 1997
Pages: 196-204
Proceedings: 16th Joint Conference of the IEEE Computer and Communications Societies
ISBN: 0818677805 and 9780818677809
Types: Conference paper
DOI: 10.1109/INFCOM.1997.635130
ORCIDs: Nielsen, Bo Friis

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