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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. Donald Rosenfield, 1976. "Markovian Deterioration with Uncertain Information," Operations Research, INFORMS, vol. 24(1), pages 141-155, February.
    2. C. Derman & G. J. Lieberman & S. M. Ross, 1984. "On the Use of Replacements to Extend System Life," Operations Research, INFORMS, vol. 32(3), pages 616-627, June.
    3. Gerald L. Thompson, 1968. "Optimal Maintenance Policy and Sale Date of a Machine," Management Science, INFORMS, vol. 14(9), pages 543-550, May.
    4. Morton Klein, 1962. "Inspection--Maintenance--Replacement Schedules Under Markovian Deterioration," Management Science, INFORMS, vol. 9(1), pages 25-32, October.
    5. Z. Kander & A. Raviv, 1974. "Maintenance policies when failure distribution of equipment is only partially known," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 21(3), pages 419-429, September.
    6. James E. Eckles, 1968. "Optimum Maintenance with Incomplete Information," Operations Research, INFORMS, vol. 16(5), pages 1058-1067, October.
    7. Donald Rosenfield, 1976. "Markovian Deterioration With Uncertain Information — A More General Model," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 23(3), pages 389-405, September.
    8. Chelsea C. White, 1977. "A Markov Quality Control Process Subject to Partial Observation," Management Science, INFORMS, vol. 23(8), pages 843-852, April.
    9. Michael Q. Anderson, 1981. "Monotone optimal preventive maintenance policies for stochastically failing equipment," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 28(3), pages 347-358, September.
    10. Hanan Luss, 1983. "An Inspection Policy Model for Production Facilities," Management Science, INFORMS, vol. 29(9), pages 1102-1109, September.
    11. William P. Pierskalla & John A. Voelker, 1976. "A survey of maintenance models: The control and surveillance of deteriorating systems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 23(3), pages 353-388, September.
    12. Morton I. Kamien & Nancy L. Schwartz, 1971. "Optimal Maintenance and Sale Age for a Machine Subject to Failure," Management Science, INFORMS, vol. 17(8), pages 495-504, April.
    13. Y. S. Sherif & M. L. Smith, 1981. "Optimal maintenance models for systems subject to failure–A Review," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 28(1), pages 47-74, March.
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    Cited by:

    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. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Wang, Hongzhou, 2002. "A survey of maintenance policies of deteriorating systems," European Journal of Operational Research, Elsevier, vol. 139(3), pages 469-489, June.
    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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