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A single-server retrial G-queue with priority and unreliable server under Bernoulli vacation schedule
Wua J.1; Lian Z.2
2013
Source PublicationComputers and Industrial Engineering
ISSN0360-8352
Volume64Issue:1Pages:84
Abstract

We consider an M/G/1 retrial queue with negative customers and priority under Bernoulli vacation schedule subject to the server breakdowns and repairs. Arrivals of both positive customers and negative customers are two independent Poisson processes. Positive customers receive service immediately if the server is idle upon their arrivals. Otherwise, they may either with probability p join the priority queue or with complementary probability-p enter a retrial orbit. A breakdown at the busy server is represented by the arrival of a negative customer which causes the the customer being in service to be lost. The server takes Bernoulli vacation after a service or a repair completion. It is assumed that the server has arbitrary repair time and vacation time distributions. With the help of Lyapunov functions we have obtained the necessary and sufficient condition for ergodicity of embedded Markov chain. By applying the supplementary variables method, we obtain the steady-state solutions for both queueing measures and reliability quantities. Moreover, we investigate the stochastic decomposition law. Besides, some special cases of interest are discussed. Finally, the effects of various parameters on the system performance are analyzed numerically. © 2012 Elsevier Ltd. All rights reserved.

KeywordEmbedded Markov Chain G-queues Reliability Retrial Queues Stochastic Decomposition
DOIhttps://doi.org/10.1016/j.cie.2012.08.015
URLView the original
Indexed BySCI
Language英语
WOS Research AreaComputer Science ; Engineering
WOS SubjectComputer Science, Interdisciplinary Applications ; Engineering, Industrial
WOS IDWOS:000315309300008
PublisherPERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
The Source to ArticleScopus
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Cited Times [WOS]:23   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionFaculty of Business Administration
DEPARTMENT OF ACCOUNTING AND INFORMATION MANAGEMENT
Corresponding AuthorWua J.
Affiliation1.School of Mathematics and Statistics, Central South University, Changsha 410075, Hunan, PR China
2.Faculty of Business Administration, University of Macau, Macau SAR, PR China
Recommended Citation
GB/T 7714
Wua J.,Lian Z.. A single-server retrial G-queue with priority and unreliable server under Bernoulli vacation schedule[J]. Computers and Industrial Engineering,2013,64(1):84.
APA Wua J.,&Lian Z..(2013).A single-server retrial G-queue with priority and unreliable server under Bernoulli vacation schedule.Computers and Industrial Engineering,64(1),84.
MLA Wua J.,et al."A single-server retrial G-queue with priority and unreliable server under Bernoulli vacation schedule".Computers and Industrial Engineering 64.1(2013):84.
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