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Optimal Periodic Replacement of Multicomponent Reliability Systems

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  • Süleyman Özekici

    (Boğaziçi University, Istanbul, Turkey)

Abstract

A complex device, like a jet engine or an electronic computer, is composed of hundreds of major components that require maintenance. The determination of the reliability and the optimal maintenance policy for such systems is further complicated by the dependence among interacting components. Component lifetimes are generally stochastically dependent due to the fact that they all function under the same environmental conditions like temperature, humidity, and vibrations. Moreover, they are also economically dependent since it is possible to do preventive maintenance to functioning components at marginal, additional cost, while failed components are being maintained. We discuss the effects of these dependencies on periodic replacement policies, and provide useful characterizations of the optimal replacement policy. The formulation involves a sample path analysis of the reliability system which leads to the utilization of Markov decision theory. Interesting intuitive and counterintuitive results are presented.

Suggested Citation

  • Süleyman Özekici, 1988. "Optimal Periodic Replacement of Multicomponent Reliability Systems," Operations Research, INFORMS, vol. 36(4), pages 542-552, August.
    • Handle: RePEc:inm:oropre:v:36:y:1988:i:4:p:542-552
    DOI: 10.1287/opre.36.4.542
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    Cited by:

    1. Taghipour, Sharareh & Banjevic, Dragan, 2012. "Optimal inspection of a complex system subject to periodic and opportunistic inspections and preventive replacements," European Journal of Operational Research, Elsevier, vol. 220(3), pages 649-660.
    2. Little, Patrick & Sussman, Joseph M. & Martland, Carl D., 1991. "Alternative Freight Car Maintenance Policies with Attractive Reliability/Cost Relationships," Transportation Research Forum Proceedings 1990s 319070, Transportation Research Forum.
    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. Robin P. Nicolai & Rommert Dekker, 2008. "Optimal Maintenance of Multi-component Systems: A Review," Springer Series in Reliability Engineering, in: Complex System Maintenance Handbook, chapter 11, pages 263-286, Springer.
    5. Borgonovo, E., 2010. "The reliability importance of components and prime implicants in coherent and non-coherent systems including total-order interactions," European Journal of Operational Research, Elsevier, vol. 204(3), pages 485-495, 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.

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