## Reliability analysis of the retrial queue with server breakdowns and repairs.(English)Zbl 1028.90014

Summary: In this paper we give a detailed analysis for reliability of retrial queues. By using the supplementary variables method, we obtain the explicit expressions of some main reliability indices such as the availability, failure frequency and reliability function of the server. In addition, some special queues, for instance, the repairable $$M/G/1$$ queue and repairable retrial queue can be derived from our results. These results may be generalized to the repairable multi-server retrial models.

### MSC:

 90B25 Reliability, availability, maintenance, inspection in operations research 90B22 Queues and service in operations research 60K25 Queueing theory (aspects of probability theory) 60K10 Applications of renewal theory (reliability, demand theory, etc.)
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