Addie, Ron and Neame, Timothy D. and Zukerman, Moshe (2003) On asymptotic accuracy in queueing theory - the tale of the misleading tail. In: ATNAC 2003: Australian Telecommunications Networks and Applications Conference, 8-10 Dec 2003, 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.
|Item Type:||Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)|
|Additional Information:||This paper received one of two best paper awards at the conference ATNAC 2003. Unable to contact Publisher to request permisison. No evidence of copyright restrictions.|
|Uncontrolled Keywords:||large deviation theory, long range dependence, queueing theory|
|Subjects:||230000 Mathematical Sciences > 230200 Statistics > 230202 Stochastic Analysis and Modelling
290000 Engineering and Technology > 291700 Communications Technologies > 291704 Computer Communications Networks
|Depositing User:||Dr Ron Addie|
|Date Deposited:||15 Feb 2008 00:18|
|Last Modified:||02 Jul 2013 22:53|
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