Computational analysis of \(GI^{[X]}/D-MSP^{(a,b)}/1\) queueing system via \textit{RG}-factorization

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Performance evaluation, queueing, and scheduling in the context of computer systems (68M20)

Cites Work

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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
Tail probabilities of the delay in a batch-service queueing model with batch-size dependent service times and a timer mechanism
Analysis of the queue-length distribution for the discrete-time batch-service \(Geo/G^{a,Y}/1/k\) queue
Elucidating the short term loss behavior of Markovian-modulated batch-service queueing model with discrete-time batch Markovian arrival process
On a BMAP/G/1 G-queue with setup times and multiple vacations
Analyzing discrete-time \(GI^{[X}/D-MSP/1/\infty\) queueing system using \(RG\)-factorization]
Queue-length, waiting-time and service batch size analysis for the discrete-time \(GI/D-MSP^{\text{(a,b)}}/1/\infty\) queueing system
Analysis of a queueing model with batch Markovian arrival process and general distribution for group clearance
Modelling and analysis of \(GI/BMSP/1\) queueing system
A \(BMAP/G/1\) retrial queue with a server subject to breakdowns and repairs
A \(BMAP/BMSP/1\) queue with Markov dependent arrival and Markov dependent service batches
Equilibrium distribution of block-structured Markov chains with repeating rows
Constructive Computation in Stochastic Models with Applications
Infinite block-structured transition matrices and their properties
Some steady-state distributions for theMAP /SM /1 queue
The censored Markov chain and the best augmentation
On the Stationary Distribution of theGI^X/M^Y/1 Queueing System
Extended analysis and computationally efficient results for the GI/Ma,b/1 queueing system
Light-tailed asymptotics of stationary probability vectors of Markov chains of GI/G/1 type