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Multiaction maintenance under markovian deterioration and incomplete state information

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  • Wallace J. Hopp
  • Sung‐Chi Wu

Abstract

Much research been devoted to modeling the replacement problem under incomplete state information. Almost no work has been done on the maintenance problem under incomplete information with multiple maintenance actions that may not return the system to as good as new. We model this problem and derive structural results concerning the optimal maintenance policy. For the case where the effect of maintenance actions is state dependent, we give conditions under which the optimal policy is finitely computable. Where maintenance is state independent we show a specific structure, consisting of monotonic waiting times and constant maintenance actions, to be optimal.

Suggested Citation

  • Wallace J. Hopp & Sung‐Chi Wu, 1988. "Multiaction maintenance under markovian deterioration and incomplete state information," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(5), pages 447-462, October.
    • Handle: RePEc:wly:navres:v:35:y:1988:i:5:p:447-462
    DOI: 10.1002/1520-6750(198810)35:53.0.CO;2-I
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    References listed on IDEAS

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    1. Meller, Russell D. & Kim, David S., 1996. "The impact of preventive maintenance on system cost and buffer size," European Journal of Operational Research, Elsevier, vol. 95(3), pages 577-591, December.
    2. Huynh, K.T. & Castro, I.T. & Barros, A. & Bérenguer, C., 2012. "Modeling age-based maintenance strategies with minimal repairs for systems subject to competing failure modes due to degradation and shocks," European Journal of Operational Research, Elsevier, vol. 218(1), pages 140-151.
    3. Wallace J. Hopp & Yar‐Lin Kuo, 1998. "An optimal structured policy for maintenance of partially observable aircraft engine components," Naval Research Logistics (NRL), John Wiley & Sons, vol. 45(4), pages 335-352, June.
    4. Su, Chao-Ton & Wu, Sung-Chi & Chang, Cheng-Chang, 2000. "Multiaction maintenance subject to action-dependent risk and stochastic failure," European Journal of Operational Research, Elsevier, vol. 125(1), pages 133-148, August.
    5. Wang, Hongzhou, 2002. "A survey of maintenance policies of deteriorating systems," European Journal of Operational Research, Elsevier, vol. 139(3), pages 469-489, June.
    6. T Sloan, 2010. "First, do no harm? A framework for evaluating new versus reprocessed medical devices," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(2), pages 191-201, February.
    7. Kazaz, Burak & Sloan, Thomas W., 2013. "The impact of process deterioration on production and maintenance policies," European Journal of Operational Research, Elsevier, vol. 227(1), pages 88-100.

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