Analysis of a discrete-time queue with load dependent service under discrete-time Markovian arrival process

DOI10.1016/J.JKSS.2014.03.003zbMath1304.60105OpenAlexW2043856757MaRDI QIDQ488600

U. C. Gupta, Sujit Kumar Samanta, Veena Goswami

Publication date: 26 January 2015

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.2014.03.003

zbMATH Keywords

imbedded Markov chainsupplementary variable techniquediscrete-time Markovian arrival processqueue length dependent servicesteady-state probability

Mathematics Subject Classification ID

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

Related Items (5)

Distribution of the number of losses in busy-periods of oscillating \(M^X / G / 1 / (n, a, b)\) systems ⋮ Stationary joint distribution of a discrete-time group-arrival and batch-size-dependent service queue with single and multiple vacation ⋮ A renewal generated geometric catastrophe model with discrete-time Markovian arrival process ⋮ Performance analysis of a \(GI/D\)-\(MSP/1/\infty\) queueing system under different service phase initiations ⋮ Performance analysis of novel overload control with threshold mechanism

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