Abstract
A semi-Markov model of a single-server queue GI/G/1/0 is constructed with regard to server maintenance that is carried out at the end of customer service if the total operation time (counted from the moment of the most recent maintenance or restoration) reaches a certain amount of time during customer service. The stationary reliability and economic characteristics of the queue are obtained. A three-criterion optimization of the execution rate of maintenance is performed.
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Published in Russian in Avtomatika i Vychislitel’naya Tekhnika, 2016, No. 6, pp. 117–131.
The article was translated by the authors.
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Peschansky, A.I., Kovalenko, A.I. On a strategy for the maintenance of an unreliable channel of a one-server loss queue. Aut. Control Comp. Sci. 50, 397–407 (2016). https://doi.org/10.3103/S0146411616060067
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DOI: https://doi.org/10.3103/S0146411616060067