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	A BMAP/G/1 retrial queue with a server subject to breakdowns and repairs
	Li, QL ; Ying, Y ; Zhao, YQQ
	2010-05-10 ; 2010-05-10
关键词	retrial queues batch Markov arrival processes (BMAP) Markov chains of M/G/1 type Markov renewal processes of M/G/1 type supplementary variable method matrix-analytic method censoring technique RG-factorization reliability RELIABILITY-ANALYSIS SYSTEM ARRIVALS Operations Research & Management Science
中文摘要	In this paper, we consider a BMAP/G/1 retrial queue with a server subject to breakdowns and repairs, where the life time of the server is exponential and the repair time is general. We use the supplementary variable method, which combines with the matrix-analytic method and the censoring technique, to study the system. We apply the RG-factorization of a level-dependent continuous-time Markov chain of M/G/1 type to provide the stationary performance measures of the system, for example, the stationary availability, failure frequency and queue length. Furthermore, we use the RG-factorization of a level-dependent Markov renewal process of M/G/1 type to express the Laplace transform of the distribution of a first passage time such as the reliability function and the busy period.
语种	英语 ; 英语
出版者	SPRINGER ; DORDRECHT ; VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/23708]
专题	清华大学
推荐引用方式 GB/T 7714	Li, QL,Ying, Y,Zhao, YQQ. A BMAP/G/1 retrial queue with a server subject to breakdowns and repairs[J],2010, 2010.
APA	Li, QL,Ying, Y,&Zhao, YQQ.(2010).A BMAP/G/1 retrial queue with a server subject to breakdowns and repairs..
MLA	Li, QL,et al."A BMAP/G/1 retrial queue with a server subject to breakdowns and repairs".(2010).

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