Residential College | false |
Status | 已發表Published |
A single-server retrial G-queue with priority and unreliable server under Bernoulli vacation schedule | |
Jinbiao Wu1![]() ![]() | |
2012-10-01 | |
Source Publication | Computers and Industrial Engineering
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ABS Journal Level | 2 |
ISSN | 0360-8352 |
Volume | 64Issue:1Pages:84-93 |
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. |
Keyword | Embedded Markov Chain G-queues Reliability Retrial Queues Stochastic Decomposition |
DOI | 10.1016/j.cie.2012.08.015 |
URL | View the original |
Indexed By | SCIE |
Language | 英語English |
WOS Research Area | Computer Science ; Engineering |
WOS Subject | Computer Science, Interdisciplinary Applications ; Engineering, Industrial |
WOS ID | WOS:000315309300008 |
Publisher | PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND |
The Source to Article | Scopus |
Scopus ID | 2-s2.0-84869128774 |
Fulltext Access | |
Citation statistics | |
Document Type | Journal article |
Collection | DEPARTMENT OF ACCOUNTING AND INFORMATION MANAGEMENT University of Macau |
Corresponding Author | Jinbiao Wu |
Affiliation | 1.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 | Jinbiao Wu,Zhaotong Lian. A single-server retrial G-queue with priority and unreliable server under Bernoulli vacation schedule[J]. Computers and Industrial Engineering, 2012, 64(1), 84-93. |
APA | Jinbiao Wu., & Zhaotong Lian (2012). A single-server retrial G-queue with priority and unreliable server under Bernoulli vacation schedule. Computers and Industrial Engineering, 64(1), 84-93. |
MLA | Jinbiao Wu,et al."A single-server retrial G-queue with priority and unreliable server under Bernoulli vacation schedule".Computers and Industrial Engineering 64.1(2012):84-93. |
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