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