How system performance is affected by the interplay of averages in a fluid queue with long range dependence induced by heavy tails

DOI10.1214/aoap/1029962746zbMath1059.60505OpenAlexW2032100933MaRDI QIDQ1305410

Gennady Samorodnitsky, David C. Heath, Sidney I. Resnick

Publication date: 14 November 1999

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoap/1029962746

zbMATH Keywords

large deviationsheavy tailslong range dependenceperformance of a queueassociationtime until overflowFluid queue\(M/G/\infty\) queue

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Large deviations (60F10) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items (7)

Is network traffic approximated by stable Lévy motion or fractional Brownian motion? ⋮ Self-similar communication models and very heavy tails. ⋮ A SINGLE CHANNEL ON/OFF MODEL WITH TCP-LIKE CONTROL ⋮ Empirical Testing Of The Infinite Source Poisson Data Traffic Model ⋮ The \(M/G/\infty\) system revisited: finiteness, summability, long range dependence, and reverse engineering ⋮ Asymptotic loss probability in a finite buffer fluid queue with heterogeneous heavy-tailed on-off processes ⋮ Buffer content of a leaky-bucket system with long-range dependent input traffic

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