A BMAP/G/1 Retrial Queue with a Server Subject to Breakdowns and Repairs

Quan-Lin Li, Yu Ying and Yiqiang Zhao

Annals of Operations Research, 2006, vol. 141, issue 1, 233-270

Abstract: 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. Copyright Springer Science + Business Media, Inc. 2006

Keywords: 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 (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (11)

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DOI: 10.1007/s10479-006-5301-0

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