Analysis of the queue-length distribution for the discrete-time batch-service \(Geo/G^{a,Y}/1/k\) queue

DOI10.1016/J.EJOR.2006.08.016zbMath1122.90024OpenAlexW2004795291MaRDI QIDQ877060

Bong K. Yoon, Xeung W. Yi, Nam K. Kim, Kyung-Chul Chae

Publication date: 19 April 2007

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejor.2006.08.016

zbMATH Keywords

queueingdiscrete timequeue lengthbatch servicefinite waiting capacityvariable service capacity

Mathematics Subject Classification ID

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

Related Items (12)

Delay analysis of a two-class batch-service queue with class-dependent variable server capacity ⋮ The discrete-time bulk-service \(Geo/Geo/1\) queue with multiple working vacations ⋮ Applicability of a static model in a dynamic context in group-screening decision making ⋮ Analytical and computational studies of the BMAP/G(a,Y)/1 queue ⋮ Computational analysis of \(GI^{[X}/D-MSP^{(a,b)}/1\) queueing system via \textit{RG}-factorization] ⋮ System occupancy in a multiclass batch-service queueing system with limited variable service capacity ⋮ Tail distribution of the delay in a general batch-service queueing model ⋮ Multiserver bulk service discrete-time queue with finite buffer and renewal input ⋮ A queueing model for general group screening policies and dynamic item arrivals ⋮ Complete characterisation of the customer delay in a queueing system with batch arrivals and batch service ⋮ Analysis of a Discrete-Time Finite-Capacity Single-Server Queue with Markovian-Arrival Process and Random-Bulk-Service: D-MAP/G^Y/1/M ⋮ Analysis and optimal control of a queue with infinite buffer under batch-size dependent versatile bulk-service rule

Cites Work

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• Analysis of the discrete-time bulk-service queue Geo/G\(^Y\)/1/N+B.
• Performance analysis of finite buffer discrete-time queue with bulk service
• The Bulk Service Queue with a General Control Strategy: Theoretical Analysis and a New Computational Procedure
• An Invariance Relation and a Unified Method to Derive Stationary Queue-Length Distributions
• An arrival time approach to \(M/G/1\)-type queues with generalized vacations

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