A difference equation approach for analysing a batch service queue with the batch renewal arrival process

DOI10.1080/10236198.2019.1567723zbMath1411.90087OpenAlexW2913113969WikidataQ128539919 ScholiaQ128539919MaRDI QIDQ4632373

U. C. Gupta, F. P. Barbhuiya

Publication date: 29 April 2019

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2019.1567723

zbMATH Keywords

queuebatch arrivaldifference equationbatch servicerenewal arrival process

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Difference operators (39A70)

Related Items (4)

Analytical and computational aspects of the infinite buffer single server \(N\) policy queue with batch renewal input ⋮ Unified killing mechanism in a single server queue with renewal input ⋮ A discrete-time \(\mathrm{GI}^X/\mathrm{Geo}^Y/1\) queue with early arrival system ⋮ A Queueing System with Batch Renewal Input and Negative Arrivals

Cites Work

• A numerically efficient method for the \(MAP/D/1/K\) queue via rational approximations
• Analysis of queueing-time distributions for MAP/D_N/1 queue
• On the Stationary Distribution of theGI^X/M^Y/1 Queueing System
• A Simple and Complete Solution to the Stationary Queue-Length Probabilities of a Bulk-Arrival Bulk-Service Queue
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