On asymptotic accuracy in queueing theory - the tale of the misleading tail
Paper
Paper/Presentation Title | On asymptotic accuracy in queueing theory - the tale of the misleading tail |
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Presentation Type | Paper |
Authors | Addie, Ronald G. (Author), Neame, Timothy D. (Author) and Zukerman, Moshe (Author) |
Journal or Proceedings Title | Proceedings of the Australian Telecommunication Networks and Applications Conference (ATNAC 2003) |
ERA Conference ID | 42548 |
Number of Pages | 7 |
Year | 2003 |
Place of Publication | Melbourne, Australia |
ISBN | 0646422294 |
Web Address (URL) of Paper | http://atnac2003.atcrc.com/ORALS/addie.pdf |
Conference/Event | Australian 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 C |
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. |
Keywords | large deviation theory; long range dependence; queueing theory |
ANZSRC Field of Research 2020 | 490510. 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 Affiliations | Department of Mathematics and Computing |
University of Melbourne | |
City University of Hong Kong, China |
https://research.usq.edu.au/item/9y790/on-asymptotic-accuracy-in-queueing-theory-the-tale-of-the-misleading-tail
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