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

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 a...

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Bibliographic Details
Published in:IEEE journal on selected areas in communications 1995-08, Vol.13 (6), p.953-962
Main Author: Norros, I.
Format: Article
Language:English
Subjects:
Asynchronous transfer mode
Brownian motion
Concrete
Intelligent networks
Local area networks
Mathematical model
Predictive models
Telecommunication traffic
Traffic control
Weibull distribution
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Summary: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.< >
ISSN:0733-8716
1558-0008
DOI:10.1109/49.400651