Paper Info
Title
Performance analysis of a Poisson-Pareto queue over the full range of system parameters
Abstract
There have been many queuing analyses for a single server queue fed by an M/G/∞ traffic process, in which G is a Pareto distribution, that focus on certain limiting conditions. In this paper we enhance the so-called Quasi-Stationary (QS) approximation – a queuing analysis introduced previously that provides an algorithm for computation of an accurate approximation for the stationary queue distribution, applicable to the entire range of system parameters. By numerical evaluation of the QS approximation and the asymptotic approximations (large buffer, many sources, and heavy traffic) over an extremely wide range of parameter values we are able to graphically display consistency of the QS approximation with all the asymptotic results. We demonstrate that the accuracy of the asymptotic approximations is satisfactory only in limited regions of the system parameter space.
Year
DOI
Venue
2009
10.1016/j.comnet.2008.12.016
Computer Networks
Keywords
DocType
Volume
single server queue,system parameter,Long range dependence,long range dependence,ppbp,Poisson-Pareto queue,full range,Queueing theory,asymptotic result,performance analysis,parameter value,large deviation theory,queueing theory,Pareto distribution,PPBP,accurate approximation,asymptotic approximation,pareto distribution,heavy traffic,Large Deviations Theory,stationary queue distribution,entire range,QS approximation
Journal
53
Issue
ISSN
Citations 
7
Computer Networks
3
PageRank 
References 
Authors
0.40
27
3
Name
Order
Citations
PageRank
Ronald G. Addie1396.33
Timothy D. Neame212812.67
Moshe Zukerman31660175.61