On asymptotic accuracy in queueing theory - the tale of the misleading tail

Paper

Addie, Ronald G., Neame, Timothy D. and Zukerman, Moshe. 2003. "On asymptotic accuracy in queueing theory - the tale of the misleading tail." Australian Telecommunications Networks and Applications Conference (ATNAC 2003). Melbourne, Australia 08 - 10 Dec 2003 Melbourne, Australia.
Paper/Presentation Title

On asymptotic accuracy in queueing theory - the tale of the misleading tail

Presentation TypePaper
AuthorsAddie, Ronald G. (Author), Neame, Timothy D. (Author) and Zukerman, Moshe (Author)
Journal or Proceedings TitleProceedings of the Australian Telecommunication Networks and Applications Conference (ATNAC 2003)
ERA Conference ID42548
Number of Pages7
Year2003
Place of PublicationMelbourne, Australia
ISBN0646422294
Web Address (URL) of Paperhttp://atnac2003.atcrc.com/ORALS/addie.pdf
Conference/EventAustralian Telecommunications Networks and Applications Conference (ATNAC 2003)
Australian Telecommunication Networks and Applications Conference
Event Details
Australian Telecommunication Networks and Applications Conference
ATNAC
Rank
C
C
C
C
C
C
C
C
C
C
C
C
C
C
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Event Details
Australian Telecommunications Networks and Applications Conference (ATNAC 2003)
Event Date
08 to end of 10 Dec 2003
Event Location
Melbourne, Australia
Abstract

Recently results have shown that a single server queue Poisson Pareto Burst Process input has a tail which is bounded by hyperbolic functions. We show that the hyperbolic upper and lower bounds for this system can be very misleading, that this hyperbolic tail result is relevant only from a certain threshold onwards, and the magnitude of this threshold may be very large. We also show that any hyperbolic upper and lower bounds for a tail of the stationary waiting time complementary distribution necessarily become further apart as the rate of the process increases.

Keywordslarge deviation theory; long range dependence; queueing theory
ANZSRC Field of Research 2020490510. Stochastic analysis and modelling
461399. Theory of computation not elsewhere classified
400604. Network engineering
Public Notes

This publication is copyright. It may be reproduced in whole or in part for the purposes of study, research, or review, but is subject to the inclusion of an acknowledgment of the source. This paper received one of two best paper awards at the conference ATNAC 2003.

Byline AffiliationsDepartment of Mathematics and Computing
University of Melbourne
City University of Hong Kong, China
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