The queue length distributions in the finite buffer bulk-service MAP/G/1 queue with multiple vacations

DOI10.1007/BF02578989zbMath1074.60099OpenAlexW2018836077MaRDI QIDQ2568601

U. C. Gupta, Karabi Sikdar

Publication date: 18 October 2005

Published in: Top (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02578989

zbMATH Keywords

Markovian arrival process

Mathematics Subject Classification ID

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

Related Items (8)

Analysis of finite buffer queue with state dependent service and correlated customer arrivals ⋮ An \(MAP/G/1\) \(G\)-queues with preemptive resume and multiple vacations ⋮ On the batch arrival batch service queue with finite buffer under server's vacation: \(MX/GY/1/N\) queue ⋮ Analysis of a finite-buffer bulk-service queue under Markovian arrival process with batch-size-dependent service ⋮ Stationary joint distribution of a discrete-time group-arrival and batch-size-dependent service queue with single and multiple vacation ⋮ Performance analysis of an infinite-buffer batch-size-dependent bulk service queue with server breakdown and multiple vacation ⋮ Analysis of the \(MAP/G^{(a,b)}/1/N\) queue with multiple vacations ⋮ The queue length distributions in the finite buffer bulk-service MAP/G/1 queue with multiple vacations

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