Busy period analysis for the GI/M/1 queue with phase-type vacations

DOI10.1016/j.jkss.2010.04.006zbMath1296.60245OpenAlexW2018404024MaRDI QIDQ744591

Kilhwan Kim, Won Seok Yang

Publication date: 25 September 2014

Published in: Journal of the Korean Statistical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jkss.2010.04.006

zbMATH Keywords

queueingbusy periodphase-type distributionsmultiple vacationsGI/M/1 queues

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Related Items (2)

Analysis of MAP/PH(1), PH(2)/2 queue with Bernoulli schedule vacation, Bernoulli feedback and renege of customers ⋮ A finite-buffer queue with a single vacation policy: an analytical study with evolutionary positioning

Cites Work

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• Busy period analysis for the \(n\)-policy \(GI/M/c\) queue
• The operating characteristic analysis on a general input queue with \(N\) policy and a startup time
• The analysis of a general input queue with \(N\) policy and exponential vacations
• A spectral approach to compute the mean performance measures of the queue with low-order BMAP input
• The GI/M/1 queue with exponential vacations
• A simple eigenvalue method for low-order D-BMAP/G/1 queues
• Vacation queueing models. Theory and applications
• Busy period analysis for the \(GI/M/1\) queue with exponential vacations
• Spectral analysis of the matrix generating function for anMAP/SM/1 queue
• A Combinatorial Method in the Theory of Queues

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