Queueing system with control by admission of retrial requests depending on the number of busy servers and state of the underlying process of Markov arrival process of primary requests

DOI10.1007/S10479-023-05728-1zbMATH Open1543.90072MaRDI QIDQ6546987

Sergey Dudin, Olga Dudina, Alexander Dudin, A. Krishnamoorthy

Publication date: 30 May 2024

Published in: Annals of Operations Research (Search for Journal in Brave)

zbMATH Keywords

Markov arrival processimpatienceretrial admission control

Mathematics Subject Classification ID

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

Cites Work

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• Retrial multi-server queuing system with \textit{PHF} service time distribution as a model of a channel with unreliable transmission of information
• Effective algorithm for computation of the stationary distribution of multi-dimensional level-dependent Markov chains with upper block-Hessenberg structure of the generator
• A bibliographical guide to the analysis of retrial queues through matrix analytic techniques
• The \(BMAP/PH/N\) retrial queueing system operating in Markovian random environment
• Retrial Queueing Systems
• Retrial Queues
• Introduction to Matrix‐Analytic Methods in Queues 1
• The Theory of Queuing Systems with Correlated Flows
• A BMAP/PH/N SYSTEM WITH IMPATIENT REPEATED CALLS

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