On the BMAP/G/1 G-queues with second optional service and multiple vacations

DOI10.1016/j.apm.2009.03.013zbMath1171.90374OpenAlexW2066984442MaRDI QIDQ733462

Yi Peng, Zai-Ming Liu, Jin-biao Wu

Publication date: 16 October 2009

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2009.03.013

zbMATH Keywords

multiple vacationssecond optional serviceRG-factorizationG-queuescensoring techniquebatch Markovian arrival process (BMAP)

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items (10)

Discrete-time GI\(^X\)/Geo/1/N queue with negative customers and multiple working vacations ⋮ On a BMAP/G/1 G-queue with setup times and multiple vacations ⋮ Stability analysis of a repairable system with warning device and repairman vacation ⋮ An \(M/G/1\) retrial \(G\)-queue with non-exhaustive random vacations and an unreliable server ⋮ Joint arrival process of multiple independent batch Markovian arrival processes ⋮ Analysis of the finite source MAP/PH/N retrial \(G\)-queue operating in a random environment ⋮ Mathematical analysis of queue with phase service: an overview ⋮ Analysis of \(\mathrm{MAP}/\mathrm{PH}_1,\mathrm{PH}_2/1\) queue with vacations and optional secondary services ⋮ On a discrete-time \(GI^X Geo/1/N-G\) queue with randomized working vacations and at most \(J\) vacations ⋮ Analysis of repairable \(\mathrm{Geo}/\mathrm{G}/1\) queues with negative customers

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