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Journal ArticleDOI

Asymptotic Behavior of a Retrial Queueing System with Server Breakdowns

Nurehemaiti Yiming, +1 more
- 01 Nov 2022 - 
- Vol. 520, Iss: 1, pp 126867-126867
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TLDR
In this article , the authors studied the asymptotic behavior of an M/G/1 retrial queueing system with server breakdowns, which is described by infinitely many partial integro-differential equations.
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This article is published in Journal of Mathematical Analysis and Applications.The article was published on 2022-11-01. It has received 1 citations till now. The article focuses on the topics: Ergodic theory & Operator (biology).

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A matrix-analytic method for the steady state analysis of a Markovian queueing system with scrap items

TL;DR: In this paper , a mathematical analysis of a single server stochastic queueing model with storage space for the scrap items collected from the customers is presented, where the primary customers arrive in the finite waiting hall to sell scrap or recyclable products.
References
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Journal ArticleDOI

A survey of retrial queues

TL;DR: A survey of the main results and methods of the theory of retrial queues, concentrating on Markovian single and multi-channel systems, as well as models with batch arrivals, multiclasses, customer impatience, double connection, control devices, two-way communication and buffer.
Journal ArticleDOI

Tauberian theorems and stability of one-parameter semigroups

TL;DR: The main result of as mentioned in this paper is that if a n iR is countable and no eigenvalue of A lies on the imaginary axis, then limt BOO T(t)x = O for all x E X.
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