Steady-state analysis of a vacation queue with random serving capacity and batch-size-dependent service

DOI10.1007/978-981-16-6890-6_78zbMath1498.90058OpenAlexW4225637072MaRDI QIDQ2080044

Sourav Pradhan, Nilanjan Nandy

Publication date: 7 October 2022

Full work available at URL: https://doi.org/10.1007/978-981-16-6890-6_78

zbMATH Keywords

rootsdistributionsqueuevacationbatch-size-dependent

Mathematics Subject Classification ID

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

Cites Work

• Tail probabilities of the delay in a batch-service queueing model with batch-size dependent service times and a timer mechanism
• Analytic and numerical aspects of batch service queues with single vacation
• Queueing systems with vacations - a survey
• Markovian bulk service queue with delayed vacations.
• Analysis of finite-buffer bulk-arrival bulk-service queue with variable service capacity and batch-size-dependent service: \(M^X\,/\,G^Y_r\,/\,1\,/\,N\)
• Performance analysis of a finite-buffer discrete-time queue with bulk arrival, bulk service and vacations
• Analysis of an infinite-buffer batch-size-dependent service queue with Markovian arrival process
• Discrete-time \(Geo^X /G^{(a,b)}/1/N\) queues with single and multiple vacations
• Stationary queue and server content distribution of a batch-size-dependent service queue with batch Markovian arrival process: BMAP/Gn(a,b)/1

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