Tail asymptotics of fluid queues in a distributed server system fed by a heavy-tailed ON-OFF flow

DOI10.3934/JIMO.2016.12.637zbMath1341.68019OpenAlexW2557128677MaRDI QIDQ747035

Byeongchan Lee, Yang Woo Shin, Jong-Hun Yoon, Gang Uk Hwang

Publication date: 22 October 2015

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2016.12.637

zbMATH Keywords

random sumstail asymptoticsheavy-tailednessinternet trafficdistributed server systems

Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70) Sums of independent random variables; random walks (60G50) Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20) Distributed systems (68M14) Internet topics (68M11)

Cites Work

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• Modeling teletraffic arrivals by a Poisson cluster process
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• Maxima of Sums of Heavy-Tailed Random Variables
• Tail probabilities for non-standard risk and queueing processes with subexponential jumps
• An Introduction to Heavy-Tailed and Subexponential Distributions
• Tail Asymptotics of the Supremum of a Regenerative Process

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