Stationary probability distribution of a system with N equal customers with bursty demands connected to a single buffer
Zhytomyr State University Library
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http://eprints.zu.edu.ua/13247/
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| Title |
Stationary probability distribution of a system with N equal customers with bursty demands connected to a single buffer |
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| Creator |
Rodríguez-Saіd, R. D.
Pogoruі, А. А. Rodríguez-Dagnіno, Ramón М. |
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| Subject |
Mathematical Analysis
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| Description |
In this paper we study the stationary probability distribution of a system consisting of a finite capacity buffer connected to N equal customers with bursty on-off demands. We assume that the buffer is filled up at a constant rate and we analyze the case when this filling rate satisfies an optimization condition according to the customer demands. First, we consider semi-Markov on-off demands for the case N = 2 and we model the dynamics of the system using a semi-Markov evolution environment. We show that we can use the phase merging algorithm to reduce the problem to a Markov evolution environment case. Then, we generalize the results for any N using a birth-and-death process.
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| Publisher |
ROSE
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| Date |
2007
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| Type |
Article
PeerReviewed |
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| Format |
text
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| Language |
uk
english |
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| Identifier |
http://eprints.zu.edu.ua/13247/1/rose.2007.012.pdf
Rodríguez-Saіd, R. D. and Pogoruі, А. А. and Rodríguez-Dagnіno, Ramón М. (2007) Stationary probability distribution of a system with N equal customers with bursty demands connected to a single buffer. Stochastic Eqs (15). pp. 181-204. |
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