Analyzing discrete-time \(\text{D}\)-\(\text{BMAP}/G/1/N\) queue with single and multiple vacations

DOI10.1016/j.ejor.2006.09.031zbMath1128.90019OpenAlexW2009246832MaRDI QIDQ879308

U. C. Gupta, Rajendra K. Sharma, Sujit Kumar Samanta

Publication date: 11 May 2007

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejor.2006.09.031

zbMATH Keywords

queueingsingle vacationfinite-buffermultiple vacationsdiscrete-time batch Markovian arrival process

Mathematics Subject Classification ID

Queues and service in operations research (90B22) Markov and semi-Markov decision processes (90C40)

Related Items (10)

Analysis of \(\mathrm{BMAP}/\mathrm{MSP}/1\) queue ⋮ Algorithm for computing the queue length distribution at various time epochs in \(\mathrm{DMAP}/G^{(1, a, b)}/1/n\) queue with batch-size-dependent service time ⋮ Analysis of discrete-time buffers with heterogeneous session-based arrivals and general session lengths ⋮ Analysis of batch Bernoulli process subject to discrete-time renewal generated binomial catastrophes ⋮ Improving efficiency of service systems by performing a part of the service without the customer's presence ⋮ The \(N \times D\)-\(BMAP/G/1\) queueing model: queue contents and delay analysis ⋮ 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 ⋮ The infinite-buffer single server queue with a variant of multiple vacation policy and batch Markovian arrival process ⋮ Efficient computational analysis of non-exhaustive service vacation queues: \(BMAP/R/1/N(\infty)\) under gated-limited discipline

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• Discrete time geo\(/G/1\) queue with multiple adaptive vacations

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