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On the control of queueing systems with failures and repairs

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  • José‐Luis Menaldi
  • Maurice Robin

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.

Suggested Citation

  • José‐Luis Menaldi & Maurice Robin, 1988. "On the control of queueing systems with failures and repairs," Applied Stochastic Models and Data Analysis, John Wiley & Sons, vol. 4(3), pages 205-213, September.
    • Handle: RePEc:wly:apsmda:v:4:y:1988:i:3:p:205-213
    DOI: 10.1002/asm.3150040307
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