On the Queue Tail Asymptotics for General Multifractal Traffic

Authors:
Sándor Molnár;Trang Dinh Dang;István Maricza
Affiliations:
-;-;-
Venue:
NETWORKING '02 Proceedings of the Second International IFIP-TC6 Networking Conference on Networking Technologies, Services, and Protocols; Performance of Computer and Communication Networks; and Mobile and Wireless Communications
Year:
2002

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Abstract

The tail asymptotics in an infinite capacity single server queue serviced at a constant rate and driven by general multifractal input process is presented. It has been shown that in the important subcase of the monofractal Fractional Brownian Motion (FBM) input traffic our result gives the well-known Weibullian tail. Practical engineering applications and validation of the results based on the analysis of measured network traffic have also been presented.