Stationary Effectiveness of an Information Server with a Single Buffer and Bursty Demands of Two Different Customers

Pogoruі, А. А. and Rodríguez-Dagnіno, Ramón М. and Rodríguez-Saіd, R. D. (2008) Stationary Effectiveness of an Information Server with a Single Buffer and Bursty Demands of Two Different Customers. Stochastic Models, 24. pp. 246-269.

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Abstract

In this article we study the stationary efficiency of a system consisting of a finite capacity buffer connected to two different customers with bursty on-off demands. We assume that the buffer is filled up at a constant rate. The dynamic of the overall system is modeled using a semi-Markov evolution environment and we derive design formulae involving the main parameters. It has been shown that it is possible to use the phase merging algorithm (PMA) to reduce the semi-Markov process to an approximated Markov process. We apply the PMA to the analysis of two different semi-Markov cases.

Item Type: Article
Subjects: Q Science > QA Mathematics > Mathematical Analysis
Divisions: Faculty of Physics and Mathematics > Department of Mathematical Analysis
Depositing User: Ірина Ігорівна Таргонська
Date Deposited: 23 Oct 2014 09:08
Last Modified: 15 Aug 2015 09:14
URI: http://eprints.zu.edu.ua/id/eprint/13296

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