Modeling and optimization of M/G/1-type queueing networks: an efficient sensitivity analysis approach.
Tang, Liang, Xi, Hong-Sheng, Zhu, Jin, Yin, Bao-Qun (2010)
Mathematical Problems in Engineering
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Tang, Liang, Xi, Hong-Sheng, Zhu, Jin, Yin, Bao-Qun (2010)
Mathematical Problems in Engineering
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Erol Gelenbe (2004)
RAIRO - Operations Research - Recherche Opérationnelle
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Marcin Woźniak, Wojciech M. Kempa, Marcin Gabryel, Robert K. Nowicki (2014)
International Journal of Applied Mathematics and Computer Science
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Krishnamoorthy, A., Deepak, T.G., Narayanan, Viswanath C., Vineetha, K. (2006)
Journal of Applied Mathematics and Stochastic Analysis
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J. R. Artalejo, A. Gómez-Corral (1999)
RAIRO - Operations Research - Recherche Opérationnelle
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Artalejo, J.R., Gomez-Corral, A. (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Dudin, Alexander N., Chakravarthy, Srinivas R. (2003)
Journal of Applied Mathematics and Stochastic Analysis
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Chakravarthy, S., Alfa, Attahiru Sule (1994)
Journal of Applied Mathematics and Stochastic Analysis
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Olga V. Semenova (2004)
RAIRO - Operations Research - Recherche Opérationnelle
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A single-server queueing system with a batch markovian arrival process (BMAP) and MAP-input of disasters causing all customers to leave the system instantaneously is considered. The system has two operation modes, which depend on the current queue length. The embedded and arbitrary time stationary queue length distribution has been derived and the optimal control threshold strategy has been determined.
Chesoong Kim, Alexander Dudin, Sergey Dudin, Olga Dudina (2014)
International Journal of Applied Mathematics and Computer Science
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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....
Bérczes, Tamás (2008)
Annales Mathematicae et Informaticae
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Natalia V. Djellab (2006)
The Yugoslav Journal of Operations Research
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Chakravarthy, S.R., Thiagarajan, S. (1997)
Journal of Applied Mathematics and Stochastic Analysis
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