A fixed-size batch service queue with vacations.
Lee, Ho Woo, Lee, Soon Seok, Chae, K.C. (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Lee, Ho Woo, Lee, Soon Seok, Chae, K.C. (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Alfa, Attahiru Sule, Dolhun, K.Laurie, Chakravarthy, S. (1995)
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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Ivan Atencia (2016)
International Journal of Applied Mathematics and Computer Science
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This paper considers a discrete-time queueing system in which an arriving customer can decide to follow a last come first served (LCFS) service discipline or to become a negative customer that eliminates the one at service, if any. After service completion, the server can opt for a vacation time or it can remain on duty. Changes in the vacation times as well as their associated distribution are thoroughly studied. An extensive analysis of the system is carried out and, using a probability...
Gupta, U.C., Banik, A.D., Pathak, S.S. (2005)
Journal of Applied Mathematics and Stochastic Analysis
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Ivan Atencia (2014)
International Journal of Applied Mathematics and Computer Science
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Ivan Atencia (2014)
International Journal of Applied Mathematics and Computer Science
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V. Jailaxmi, R. Arumuganathan, M. Senthil Kumar (2014)
RAIRO - Operations Research - Recherche Opérationnelle
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This paper analyses an M/G/1 retrial queue with working vacation and constant retrial policy. As soon as the system becomes empty, the server begins a working vacation. The server works with different service rates rather than completely stopping service during a vacation. We construct the mathematical model and derive the steady-state queue distribution of number of customer in the retrial group. The effects of various performance measures are derived.
Kumar, M.Senthil, Arumuganathan, R. (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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I. Kopocińska (1970)
Applicationes Mathematicae
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W. Szczotka (1974)
Applicationes Mathematicae
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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...
J. Bartoszewicz, T. Rolski (1970)
Applicationes Mathematicae
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R. Szekli (1984)
Applicationes Mathematicae
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Andrzej Chydziński, Łukasz Chróst (2011)
International Journal of Applied Mathematics and Computer Science
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Queueing systems in which an arriving job is blocked and lost with a probability that depends on the queue size are studied. The study is motivated by the popularity of Active Queue Management (AQM) algorithms proposed for packet queueing in Internet routers. AQM algorithms often exploit the idea of queue-size based packet dropping. The main results include analytical solutions for queue size distribution, loss ratio and throughput. The analytical results are illustrated via numerical...
W. Szczotka (1973)
Applicationes Mathematicae
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