Comparative Analysis of Methods of Residual and Elapsed Service Time in the Study of the Closed Retrial Queuing System M/GI/1//N with Collision of the Customers and Unreliable Server

DOI10.1007/978-3-319-68069-9_8zbMath1397.90128OpenAlexW2757740356MaRDI QIDQ4685067

Anna Kvach, János Sztrik, Anatoly Nazarov

Publication date: 5 October 2018

Published in: Information Technologies and Mathematical Modelling. Queueing Theory and Applications (Search for Journal in Brave)

Full work available at URL: http://irh.inf.unideb.hu/user/jsztrik/publications/papers/ITMM_2017_Efrosinin_Sztrik_Springer.pdf

zbMATH Keywords

asymptotic analysisretrial queuecollisionunreliable serverserver breakdowns and repairsfinite-source queuing systemclosed queuing systemsmethod of elapsed service timemethod of residual service time

Mathematics Subject Classification ID

Queues and service in operations research (90B22)

Related Items (6)

Asymptotic analysis of finite-source \(M/GI/1\) retrial queueing systems with collisions and server subject to breakdowns and repairs ⋮ A Survey of Recent Results in Finite-Source Retrial Queues with Collisions ⋮ Retrial Queueing System of MMPP/M/2 Type with Impatient Calls in the Orbit ⋮ Asymptotic analysis of an retrial queueing system \(M|M|1\) with collisions and impatient calls ⋮ On Gaussian approximation of multi-channel networks with input flows of general structure ⋮ Retrial Queue M/M/N with Impatient Customer in the Orbit

Cites Work

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• An \(\mathrm{M}/\mathrm{G}/1\) retrial G-queue with preemptive resume priority and collisions subject to the server breakdowns and delayed repairs
• Performance analysis of the retrial queues with finite number of sources and service interruptions
• RETRIAL QUEUEING SYSTEM WITH COLLISION AND IMPATIENCE
• Asymptotic Analysis of Closed Markov Retrial Queuing System with Collision
• NUMBER OF RETRIALS IN A FINITE SOURCE RETRIAL QUEUE WITH UNRELIABLE SERVER

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