A BULK SERVICE GI/M/1 QUEUE WITH SERVICE RATES DEPENDING ON SERVICE BATCH SIZE

DOI10.15807/jorsj.39.25zbMath0853.60078OpenAlexW567322316MaRDI QIDQ4889749

Yutaka Baba

Publication date: 16 December 1996

Published in: Journal of the Operations Research Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15807/jorsj.39.25

zbMATH Keywords

Laplace-Stieltjes transformsteady-state probabilitiesstationary waiting time distributionmatrix geometric form

Mathematics Subject Classification ID

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

Related Items (7)

Queueing models with optional cooperative services ⋮ Analysis of a finite-buffer bulk-service queue under Markovian arrival process with batch-size-dependent service ⋮ Extended analysis and computationally efficient results for the GI/Ma,b/1 queueing system ⋮ An `\((s,S)\)' inventory in a queueing system with batch service facility ⋮ On the finite-buffer bulk-service queue with general independent arrivals: \(GI/M^{[b}/1/N\)] ⋮ Analysis of a queueing model with batch Markovian arrival process and general distribution for group clearance ⋮ Analysis and optimal control of a queue with infinite buffer under batch-size dependent versatile bulk-service rule

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