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TAIL ASYMPTOTICS FOR CUMULATIVE PROCESSES SAMPLED AT HEAVY-TAILED RANDOM TIMES WITH APPLICATIONS TO QUEUEING MODELS IN MARKOVIAN ENVIRONMENTS

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Publication:2874899
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DOI10.15807/JORSJ.56.257zbMath1302.90049arXiv1203.6574OpenAlexW2964253554MaRDI QIDQ2874899

Hiroyuki Masuyama

Publication date: 12 August 2014

Published in: Journal of the Operations Research Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.6574


zbMATH Keywords

samplingqueuetail asymptoticsheavy-tailedMarkovian environmentcumulative process


Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Large deviations (60F10)


Related Items (3)

Error Bounds for Augmented Truncations of Discrete-Time Block-Monotone Markov Chains under Subgeometric Drift Conditions ⋮ Light-tailed asymptotics of \(\mathrm{GI}/\mathrm{G}/1\)-type Markov chains ⋮ A sufficient condition for the subexponential asymptotics of GI/G/\(1\)-type Markov chains with queueing applications







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