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Optimal Replacement for Shock Models with General Failure Rate

Author

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  • Gary Gottlieb

    (New York University, New York, New York)

Abstract

A device is subject to a series of shocks which arrive as a semi-Markov process. Shocks cause damage and eventually failure will occur at the time of arrival of one of the shocks. The device must be replaced upon failure at some cost but it also can be replaced before failure at a lower cost. We consider the general case where the failure rate need not be increasing and replacement can be made at any time. The form of the optimal replacement policy is found and conditions are determined for which a control limit policy is optimal.

Suggested Citation

  • Gary Gottlieb, 1982. "Optimal Replacement for Shock Models with General Failure Rate," Operations Research, INFORMS, vol. 30(1), pages 82-92, February.
    • Handle: RePEc:inm:oropre:v:30:y:1982:i:1:p:82-92
    DOI: 10.1287/opre.30.1.82
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    Cited by:

    1. Hsieh, Chung-Chi & Chiu, Kuo-Chang, 2002. "Optimal maintenance policy in a multistate deteriorating standby system," European Journal of Operational Research, Elsevier, vol. 141(3), pages 689-698, September.
    2. Panagiotidou, Sofia & Tagaras, George, 2007. "Optimal preventive maintenance for equipment with two quality states and general failure time distributions," European Journal of Operational Research, Elsevier, vol. 180(1), pages 329-353, July.
    3. Barbera, Fran & Schneider, Helmut & Watson, Ed, 1999. "A condition based maintenance model for a two-unit series system," European Journal of Operational Research, Elsevier, vol. 116(2), pages 281-290, July.
    4. C. Teresa Lam & R. H. Yeh, 1994. "Optimal replacement policies for multistate deteriorating systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(3), pages 303-315, April.
    5. 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.

    More about this item

    Keywords

    115 optimal stopping; 730 shock models;

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