Approximation approach to performance evaluation of proxy cache server systems.
Bérczes, Tamás (2008)
Annales Mathematicae et Informaticae
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Bérczes, Tamás (2008)
Annales Mathematicae et Informaticae
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Parthasarathy, P.R., Vijayashree, K.V. (2003)
International Journal of Mathematics and Mathematical Sciences
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Mirtchev, Seferin, Statev, Stanimir (2008)
Serdica Journal of Computing
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This work was supported by the Bulgarian National Science Fund under grant BY-TH-105/2005. This paper deals with a full accessibility loss system and a single server delay system with a Poisson arrival process and state dependent exponentially distributed service time. We use the generalized service flow with nonlinear state dependence mean service time. The idea is based on the analytical continuation of the Binomial distribution and the classic M/M/n/0 and M/M/1/k system....
Le Gall, Pierre (1997)
Journal of Applied Mathematics and Stochastic Analysis
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Parthasarathy, P.R., Sericola, B., Vijayashree, K.V. (2005)
Journal of Applied Mathematics and Stochastic Analysis
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Le Gall, Pierre (1998)
Journal of Applied Mathematics and Stochastic Analysis
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Muh, David C.R. (1993)
Journal of Applied Mathematics and Stochastic Analysis
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Kreinin, A.Ya. (1997)
Journal of Applied Mathematics and Stochastic Analysis
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Saulius Minkevičius (2014)
RAIRO - Operations Research - Recherche Opérationnelle
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The object of this research in the queueing theory is a theorem about the Strong-Law-of-Large-Numbers (SLLN) under the conditions of heavy traffic in a multiserver open queueing network. SLLN is known as a fluid limit or fluid approximation. In this work, we prove that the long-term average rate of growth of the queue length process of a multiserver open queueing network under heavy traffic strongly converges to a particular vector of rates. SLLN is proved for the values of an important...
Le Gall, Pierre (1998)
Journal of Applied Mathematics and Stochastic Analysis
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Lee, Moon Ho, Dudin, Sergey A. (2008)
Mathematical Problems in Engineering
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Kasahara, Shoji, Takagi, Hideaki, Takahashi, Yutaka, Hasegawa, Toshiharu (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Gang Chen, Zhong Yang (2014)
International Journal of Applied Mathematics and Computer Science
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Le Gall, Pierre (2000)
Mathematical Problems in Engineering
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Gang Chen, Zhong Yang (2014)
International Journal of Applied Mathematics and Computer Science
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