On the use of fractional Brownian motion in the theory of connectionless networks

Ilkka Norros

Research output: Contribution to journalArticleScientificpeer-review

579 Citations (Scopus)

Abstract

An abstract model for aggregated connectionless traffic, based on the fractional Brownian motion, is presented. Insight into the parameters is obtained by relating the model to an equivalent burst model. Results on a corresponding storage process are presented. The buffer occupancy distribution is approximated by a Weibull distribution. The model is compared with publicly available samples of real Ethernet traffic. The degree of the short-term predictability of the traffic model is studied through an exact formula for the conditional variance of a future value given the past. The applicability and interpretation of the self-similar model are discussed extensively, and the notion of ideal free traffic is introduced
Original languageEnglish
Pages (from-to)953-962
JournalIEEE Journal on Selected Areas in Communications
Volume13
Issue number6
DOIs
Publication statusPublished - 1995
MoE publication typeA1 Journal article-refereed

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Brownian movement
Weibull distribution
Ethernet

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title = "On the use of fractional Brownian motion in the theory of connectionless networks",
abstract = "An abstract model for aggregated connectionless traffic, based on the fractional Brownian motion, is presented. Insight into the parameters is obtained by relating the model to an equivalent burst model. Results on a corresponding storage process are presented. The buffer occupancy distribution is approximated by a Weibull distribution. The model is compared with publicly available samples of real Ethernet traffic. The degree of the short-term predictability of the traffic model is studied through an exact formula for the conditional variance of a future value given the past. The applicability and interpretation of the self-similar model are discussed extensively, and the notion of ideal free traffic is introduced",
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On the use of fractional Brownian motion in the theory of connectionless networks. / Norros, Ilkka.

In: IEEE Journal on Selected Areas in Communications, Vol. 13, No. 6, 1995, p. 953-962.

Research output: Contribution to journalArticleScientificpeer-review

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AB - An abstract model for aggregated connectionless traffic, based on the fractional Brownian motion, is presented. Insight into the parameters is obtained by relating the model to an equivalent burst model. Results on a corresponding storage process are presented. The buffer occupancy distribution is approximated by a Weibull distribution. The model is compared with publicly available samples of real Ethernet traffic. The degree of the short-term predictability of the traffic model is studied through an exact formula for the conditional variance of a future value given the past. The applicability and interpretation of the self-similar model are discussed extensively, and the notion of ideal free traffic is introduced

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