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Journal of Applied Mathematics and Computing
Erschienen in: Journal of Applied Mathematics and Computing 1-2/2014

01.02.2014 | Original Research

An M/G/1 retrial G-queue with preemptive resume priority and collisions subject to the server breakdowns and delayed repairs

verfasst von: Yi Peng, Zaiming Liu, Jinbiao Wu

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2014

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Abstract

We consider an M/G/1 retrial G-queue with preemptive resume priority and collisions under linear retrial policy subject to the server breakdowns and delayed repairs. A breakdown at the busy server is represented by the arrival of a negative customer which causes the customer being in service to be lost. The stability condition of the system is derived. Using generating function technique, the steady-state distributions of the server state and the number of customers in the orbit are obtained along with some interesting and important performance measures. The stochastic decomposition property is investigated. Further, some special cases of interest are discussed. Finally, numerical illustrations are provided.
Vorheriger Artikel Higher-order asymptotic solutions in fluids of various configurations
Nächster Artikel Existence of positive solutions for the singular fractional differential equations

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Metadaten
Titel
An M/G/1 retrial G-queue with preemptive resume priority and collisions subject to the server breakdowns and delayed repairs
verfasst von
Yi Peng
Zaiming Liu
Jinbiao Wu
Publikationsdatum
01.02.2014
Verlag
Springer Berlin Heidelberg
Erschienen in
Journal of Applied Mathematics and Computing / Ausgabe 1-2/2014
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-013-0688-7

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