On a strategy for the maintenance of an unreliable channel of a one-server loss queue

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 custo...

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Bibliographic Details
Published inAutomatic control and computer sciences Vol. 50; no. 6; pp. 397 - 407
Main Authors Peschansky, A. I., Kovalenko, A. I.
Format Journal Article
LanguageEnglish
Published New York Allerton Press 2016
Springer Nature B.V
Subjects
Computer Science
Control Structures and Microprogramming
Customer services
Maintenance
Markov chains
Queues
Restoration
three-criterion optimization
the embedded Markov chain stationary distribution
one-server loss queue
server maintenance
stationary characteristics
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Summary: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.
ISSN:0146-4116
1558-108X
DOI:10.3103/S0146411616060067