Analysis of multi-server queueing model of ABR.
Núñez-Queija, R., Boxma, O.J. (1998)
Journal of Applied Mathematics and Stochastic Analysis
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Núñez-Queija, R., Boxma, O.J. (1998)
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...
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Journal of Applied Mathematics and Stochastic Analysis
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Journal of Applied Mathematics and Stochastic Analysis
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Journal of Applied Mathematics and Stochastic Analysis
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Journal of Applied Mathematics and Stochastic Analysis
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Journal of Applied Mathematics and Stochastic Analysis
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Journal of Applied Mathematics and Stochastic Analysis
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Journal of Applied Mathematics and Stochastic Analysis
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Choi, Bong Dae, Kim, Yeong Cheol, Shin, Yang Woo, Pearce, Charles E.M. (2001)
Journal of Applied Mathematics and Stochastic Analysis
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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.