Large Deviations for Complex Buffer Architectures: The Short-Range Dependent Case

DOI10.1080/15326340500481762zbMath1120.60089OpenAlexW2134268806MaRDI QIDQ3444695

M. R. H. Mandjes

Publication date: 4 June 2007

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: http://dare.uva.nl/personal/pure/en/publications/large-deviations-for-complex-buffer-architectures-the-shortrange-dependent-case(b684be7a-0e14-4b5c-ae93-f905bf9d1971).html

zbMATH Keywords

communication networkslarge deviationspriority queuetandem queuegeneralized processor sharingshort-range dependenceGaussian traffic

Mathematics Subject Classification ID

Communication networks in operations research (90B18) Queueing theory (aspects of probability theory) (60K25) Large deviations (60F10)

Related Items (6)

Large buffer asymptotics for generalized processor sharing queues with Gaussian inputs ⋮ Lévy-driven GPS queues with heavy-tailed input ⋮ Modelling priority queuing systems with varying service capacity ⋮ A note on the delay distribution in GPS ⋮ Performance analysis of priority scheduling mechanisms under heterogeneous network traffic ⋮ Generalized processor sharing: Characterization of the admissible region and selection of optimal weights

Cites Work

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• Sample-path large deviations for tandem and priority queues with Gaussian inputs
• Gaussian tandem queues with an application to dimensioning of switch fabric interfaces
• Large deviations of the sample mean in general vector spaces
• Large deviations and the generalized processor sharing scheduling for a two-queue system
• Sample path large deviations for queues with many inputs
• Large deviations, the shape of the loss curve, and economies of scale in large multiplexers
• A new technique for analyzing large traffic systems
• Buffer overflow asymptotics for a buffer handling many traffic sources

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