Computational analysis of bulk service queue with Markovian arrival process: MAP/R\(^{(a,b)}/1\) queue

DOI10.1007/s12597-013-0128-3zbMath1353.90044OpenAlexW1967352043MaRDI QIDQ505201

U. C. Gupta, Gagandeep Singh, Mohan L. Chaudhry

Publication date: 19 January 2017

Published in: Opsearch (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12597-013-0128-3

zbMATH Keywords

queueingrootsqueue-lengthbatch servicegeneral bulk service ruleMarkovian arrival process (MAP)matrix-exponential (ME)phase-type (PH)rational Laplace-Stieltjes transform

Mathematics Subject Classification ID

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

Related Items (9)

Analytical and computational studies of the BMAP/G(a,Y)/1 queue ⋮ Stationary queue and server content distribution of a batch-size-dependent service queue with batch Markovian arrival process: BMAP/Gn(a,b)/1 ⋮ Stationary joint distribution of a discrete-time group-arrival and batch-size-dependent service queue with single and multiple vacation ⋮ A sufficient condition for the subexponential asymptotics of GI/G/\(1\)-type Markov chains with queueing applications ⋮ Analysis of an infinite-buffer batch-size-dependent service queue with Markovian arrival process ⋮ Efficient computational analysis of non-exhaustive service vacation queues: \(BMAP/R/1/N(\infty)\) under gated-limited discipline ⋮ A simple analysis of system characteristics in the batch service queue with infinite-buffer and Markovian service process using the roots method:GI/C-MSP^(a,b)/1/∞ ⋮ Analysis of BMAP∕R∕1 Queues Under Gated-Limited Service with the Server’s Single Vacation Policy ⋮ Computational and numerical investigation of the batch Markovian arrival process subject to renewal generated geometric catastrophes

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