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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.

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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