Modeling network traffic by a cluster Poisson input process with heavy and light-tailed file sizes

DOI10.1007/s11134-010-9196-8zbMath1255.90041OpenAlexW2075203385MaRDI QIDQ607818

Vicky Fasen

Publication date: 3 December 2010

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: http://mediatum.ub.tum.de/doc/1079231/document.pdf

zbMATH Keywords

fractional Brownian motioncovariance functionregular variationself-similarityscalingheavy tailslong-range dependencefluid queuestable Lévy motioncluster Poisson modelcumulative input processinput modelteletraffic

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Queues and service in operations research (90B22) Large deviations (60F10) Stable stochastic processes (60G52) Functional limit theorems; invariance principles (60F17)

Related Items (4)

Tail dependence for regularly varying time series ⋮ Scaling limits for a random boxes model ⋮ Functional central limit theorems for stationary Hawkes processes and application to infinite-server queues ⋮ Functional central limit theorems and moderate deviations for Poisson cluster processes

Cites Work

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• A fluid cluster Poisson input process can look like a fractional Brownian motion even in the slow growth aggregation regime
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