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Maintenance of a device with age‐dependent exponential failures

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  • S. Özekici
  • N. O. Günlük

Abstract

We consider a device that deteriorates over time according to a Markov process so that the failure rate at each state is constant. The reliability of the device is characterized by a Markov renewal equation, and an IFRA (increasing failure rate on average) property of the lifetime is obtained. The optimal replacement and repair problems are analyzed under various cost structures. Furthermore, intuitive and counterintuitive characterizations of the optimal policies and results on some interesting special problems are presented. © 1992 John Wiley & Sons, Inc.

Suggested Citation

  • S. Özekici & N. O. Günlük, 1992. "Maintenance of a device with age‐dependent exponential failures," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(5), pages 699-714, August.
    • Handle: RePEc:wly:navres:v:39:y:1992:i:5:p:699-714
    DOI: 10.1002/1520-6750(199208)39:53.0.CO;2-H
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    References listed on IDEAS

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    1. Tijms, H. C. & van der Duyn Schouten, F. A., 1985. "A Markov decision algorithm for optimal inspections and revisions in a maintenance system with partial information," European Journal of Operational Research, Elsevier, vol. 21(2), pages 245-253, August.
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