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Training and repair policies for stand-by systems

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  • Yeek-Hyun Kim
  • Lyn Thomas

Abstract

This research is concerned with developing repair and training strategies for stand-by equipment which maximise the time until the equipment is unable to respond when it is needed. Equipment can only be used if it is in an operable state and the users have had sufficient recent training on it. Thus it is necessary to decide when to maintain/repair the equipment and when to use the equipment for training. Both actions mean the equipment is not readily available for use in an emergency. We develop discrete time Markov decision process formulations of this problem in order to investigate the form of the optimal policies which maximise the expected survival time until a catastrophic event when an emergency occurs and the equipment cannot respond. We also calculate the solution in a number of numerical examples. Copyright Springer Science+Business Media, LLC 2013

Suggested Citation

  • Yeek-Hyun Kim & Lyn Thomas, 2013. "Training and repair policies for stand-by systems," Annals of Operations Research, Springer, vol. 208(1), pages 469-487, September.
    • Handle: RePEc:spr:annopr:v:208:y:2013:i:1:p:469-487:10.1007/s10479-012-1185-3
    DOI: 10.1007/s10479-012-1185-3
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    References listed on IDEAS

    as
    1. Wang, Hongzhou, 2002. "A survey of maintenance policies of deteriorating systems," European Journal of Operational Research, Elsevier, vol. 139(3), pages 469-489, June.
    2. Michael N. Katehakis & Cyrus Derman, 1984. "Optimal Repair Allocation in a Series System," Mathematics of Operations Research, INFORMS, vol. 9(4), pages 615-623, November.
    3. 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.
    4. John J. McCall, 1965. "Maintenance Policies for Stochastically Failing Equipment: A Survey," Management Science, INFORMS, vol. 11(5), pages 493-524, March.
    5. 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.
    6. Y-H Kim & L C Thomas, 2006. "Repair strategies in an uncertain environment: Markov decision process approach," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(8), pages 957-964, August.
    7. Çinlar, Erhan & Shaked, Moshe & Shanthikumar, J. George, 1989. "On lifetimes influenced by a common environment," Stochastic Processes and their Applications, Elsevier, vol. 33(2), pages 347-359, December.
    8. 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.
    9. C. Derman & J. Sacks, 1960. "Replacement of periodically inspected equipment. (An optimal optional stopping rule)," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 7(4), pages 597-607, December.
    10. George E. Monahan, 1982. "State of the Art---A Survey of Partially Observable Markov Decision Processes: Theory, Models, and Algorithms," Management Science, INFORMS, vol. 28(1), pages 1-16, January.
    11. Ciriaco Valdez‐Flores & Richard M. Feldman, 1989. "A survey of preventive maintenance models for stochastically deteriorating single‐unit systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(4), pages 419-446, August.
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