Performance analysis of a Poisson-Pareto queue over the full range of system parameters
Article
Article Title | Performance analysis of a Poisson-Pareto queue over the full range of system parameters |
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ERA Journal ID | 22147 |
Article Category | Article |
Authors | Addie, Ron (Author), Neame, Timothy D. (Author) and Zukerman, Moshe (Author) |
Journal Title | Computer Networks |
Journal Citation | 53 (7), pp. 1099-1113 |
Number of Pages | 15 |
Year | 2009 |
Place of Publication | Netherlands |
ISSN | 0169-7552 |
1389-1286 | |
1872-7069 | |
Digital Object Identifier (DOI) | https://doi.org/10.1016/j.comnet.2008.12.016 |
Web Address (URL) | http://www.elsevier.com/wps/find/journaldescription.cws_home/505606/description#description |
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. |
Keywords | large deviations theory; long range dependence; queueing theory; Pareto distribution; PPBP |
ANZSRC Field of Research 2020 | 490108. Operations research |
400604. Network engineering | |
490101. Approximation theory and asymptotic methods | |
Public Notes | File reproduced in accordance with the copyright policy of the publisher/author. |
Byline Affiliations | Department of Mathematics and Computing |
University of Melbourne | |
City University of Hong Kong, China |
https://research.usq.edu.au/item/9yzv4/performance-analysis-of-a-poisson-pareto-queue-over-the-full-range-of-system-parameters
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