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

Allan T. Andersen, Bo Friis Nielsen

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    Abstract

    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
    Original languageEnglish
    Title of host publicationIEEE INFOCOM Kobe, Japan
    PublisherIEEE Press
    Publication date1997
    Pages196-204
    ISBN (Print)0-8186-7780-5
    DOIs
    Publication statusPublished - 1997
    Event16th Joint Conference of the IEEE Computer and Communications Societies - Kobe, Japan
    Duration: 7 Apr 199712 Apr 1997
    https://ieeexplore.ieee.org/xpl/conhome/4979/proceeding

    Conference

    Conference16th Joint Conference of the IEEE Computer and Communications Societies
    Country/TerritoryJapan
    CityKobe
    Period07/04/199712/04/1997
    Internet address

    Bibliographical note

    Copyright: 1997 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE

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