On the control of queueing systems with failures and repairs

José‐Luis Menaldi and Maurice Robin

Applied Stochastic Models and Data Analysis, 1988, vol. 4, issue 3, 205-213

Abstract: Several classes of problems can be modelled as queueing systems with failures where preventative maintenance has to be optimized: relevant examples are computer systems, databases and production lines. This paper studies a simple case of such a situation based on the M/M/1 queue where the state of the server can take two values (on, off); the transition on–off happens either when there is a failure or when one decides to maintain. The characterization and an approximation of an optimal policy are given. Extensions to more general models, including general Markov processes, are examined.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:wly:apsmda:v:4:y:1988:i:3:p:205-213

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