On a loss queueing system with the reserve channel
S. M. Stojanović (1979)
Matematički Vesnik
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S. M. Stojanović (1979)
Matematički Vesnik
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Shin, Yang Woo (1999)
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...
Choi, Bong Dae, Han, Dong Hwan, Falin, Guennadi (1993)
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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Lee, Ho Woo, Lee, Soon Seok, Chae, K.C. (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Dshalalow, Jewgeni H., Yellen, Jay (1996)
Mathematical Problems in Engineering
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Alfa, Attahiru Sule, Dolhun, K.Laurie, Chakravarthy, S. (1995)
Journal of Applied Mathematics and Stochastic Analysis
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Kumar, M.Senthil, Arumuganathan, R. (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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Gupta, U.C., Sikdar, Karabi (2004)
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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Frey, Andreas, Takahashi, Yoshitaka (1999)
Journal of Applied Mathematics and Stochastic Analysis
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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...