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Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1003

Title: Evaluation of Pareto/D/1/k Queue by Simulation
Authors: Mirtchev, Seferin
Goleva, Rossitza
Keywords: Pareto Distribution
Delay System
Queueing Analyses
Simulation Model
Peak Traffic Modelling
Issue Date: 2008
Publisher: Institute of Information Theories and Applications FOI ITHEA
Abstract: The finding that Pareto distributions are adequate to model Internet packet interarrival times has motivated the proposal of methods to evaluate steady-state performance measures of Pareto/D/1/k queues. Some limited analytical derivation for queue models has been proposed in the literature, but their solutions are often of a great mathematical challenge. To overcome such limitations, simulation tools that can deal with general queueing system must be developed. Despite certain limitations, simulation algorithms provide a mechanism to obtain insight and good numerical approximation to parameters of queues. In this work, we give an overview of some of these methods and compare them with our simulation approach, which are suited to solve queues with Generalized-Pareto interarrival time distributions. The paper discusses the properties and use of the Pareto distribution. We propose a real time trace simulation model for estimating the steady-state probability showing the tail-raising effect, loss probability, delay of the Pareto/D/1/k queue and make a comparison with M/D/1/k. The background on Internet traffic will help to do the evaluation correctly. This model can be used to study the long- tailed queueing systems. We close the paper with some general comments and offer thoughts about future work.
URI: http://hdl.handle.net/10525/1003
ISSN: 1313-0455
Appears in Collections:Book 1 Algorithmic and Mathematical Foundations of the Artificial Intelligence

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