Bulk input queues with quorum and multiple vacations.
Dshalalow, Jewgeni H., Yellen, Jay (1996)
Mathematical Problems in Engineering
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Dshalalow, Jewgeni H., Yellen, Jay (1996)
Mathematical Problems in Engineering
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Dshalalow, Jewgeni H. (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Matendo, Sadrac K. (1994)
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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Kreinin, A.Ya. (1997)
Journal of Applied Mathematics and Stochastic Analysis
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Gupta, U.C., Sikdar, Karabi (2004)
Journal of Applied Mathematics and Stochastic Analysis
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Artalejo, J.R., Gomez-Corral, A. (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Kailash C. Madan, Walid Abu-Dayyeh (2002)
ESAIM: Probability and Statistics
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We investigate the steady state behavior of an //1 queue with modified Bernoulli schedule server vacations. Batches of variable size arrive at the system according to a compound Poisson process. However, all arriving batches are not allowed into the system. The restriction policy differs when the server is available in the system and when he is on vacation. We obtain in closed form, the steady state probability generating functions for the number of customers in the queue for various...
Kumar, B.Krishna, Rukmani, R., Thangaraj, V. (2008)
Journal of Applied Mathematics and Stochastic Analysis
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Dshalalow, Jewgeni H. (1992)
Journal of Applied Mathematics and Stochastic Analysis
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Gupta, U.C., Banik, A.D., Pathak, S.S. (2005)
Journal of Applied Mathematics and Stochastic Analysis
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Limic, Vlada (2000)
Electronic Communications in Probability [electronic only]
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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....
Olga V. Semenova (2010)
RAIRO - Operations Research
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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.