A retrial queue with redundancy and unreliable server. (English) Zbl 0817.60093
This paper introduces a new version of the unreliable \(M/G/1/1\) retrial queue and obtains, amongst other things, using the theory of piecewise Markovian processes, the analogue of the Pollaczek-Khinchin formula for such a queue.
Reviewer: D.N.Shanbhag (Sheffield)
MSC:
| 60K25 | Queueing theory (aspects of probability theory) |
| 90B22 | Queues and service in operations research |
| 90B25 | Reliability, availability, maintenance, inspection in operations research |
| 90C40 | Markov and semi-Markov decision processes |
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