AG/SM/1queue with vacations depending on service times

DOI10.1080/15326349508807366zbMath0844.60077OpenAlexW2017782740MaRDI QIDQ4858233

Fumiaki Machihara

Publication date: 11 January 1996

Published in: Communications in Statistics. Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15326349508807366

zbMATH Keywords

Markovian arrival processdecomposition theoremwaiting time distributionqueue length distributionmultiple vacationsphase-type Markov renewalsemi-Markov service

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Markov renewal processes, semi-Markov processes (60K15)

Related Items (3)

Analyzing the finite buffer batch arrival queue under Markovian service process: \(\mathrm{GI}^X /\mathrm{MSP}/1/\mathrm{N}\) ⋮ A Survey for Stochastic Decomposition in Vacation Queues ⋮ A simple analysis of the batch arrival queue with infinite-buffer and Markovian service process using roots method: \( GI^{[X}/C\)-\( MSP /1/\infty \)]

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