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Operating Characteristics of Opportunistic Replacement and Inspection Policies

Author

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  • J. J. McCall

    (The RAND Corporation, Santa Monica, California)

Abstract

This paper calculates some of the operating characteristics of opportunistic replacement and inspection policies. An operating characteristic of a particular policy is a function defined on the stochastic process induced when the policy is implemented. An opportunistic replacement policy makes the replacement of a single uninspected part conditional on the state (good or failed) of one or more continuously inspected (monitored) parts. An opportunistic inspection policy makes the inspection of a non-monitored part conditional on the state (good or failed) of a monitored part. Some of the operating characteristics of these policies examined in this paper are: the expected rate of opportunistic (joint) replacement of the uninspected part and one of the monitored parts; the expected rate of planned replacement of the uninspected part; the probability of at least m failures of a monitored part in the interval [0, t]; the expected rate of opportunistic inspection--inspection of the non-monitored part which is triggered by a failure of the monitored part; and the expected rate of planned inspection of the non-monitored part. These operating characteristics are precisely the information needed to establish a suitable supply policy. They should also be helpful to the maintenance manager in his efforts to predict the relative frequencies of the various maintenance actions. As an example the opportunistic replacement policy is applied to the rocket engines of a hypothetical ballistic missile. Several operating characteristics are then computed and the sensitivity of these operating characteristics to changes in the rocket engine failure rate is exhibited. This illustrative analysis indicates that both the expected rate of opportunistic (joint) replacement of the rocket engines and re-entry vehicle and the expected rate of replacement of the rocket engines due to mandatory replacement are highly sensitive to changes in the rocket engine failure rate. On the other hand, the expected rate of opportunistic (joint) replacement of the rocket engines and the guidance and control system is relatively unaffected by changes in the engine failure rate.

Suggested Citation

  • J. J. McCall, 1963. "Operating Characteristics of Opportunistic Replacement and Inspection Policies," Management Science, INFORMS, vol. 10(1), pages 85-97, October.
  • Handle: RePEc:inm:ormnsc:v:10:y:1963:i:1:p:85-97
    DOI: 10.1287/mnsc.10.1.85
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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. Cheng, Yung-Hsiang & Tsao, Hou-Lei, 2010. "Rolling stock maintenance strategy selection, spares parts' estimation, and replacements' interval calculation," International Journal of Production Economics, Elsevier, vol. 128(1), pages 404-412, November.
    3. Lirong Cui & Haijun Li, 2006. "Opportunistic Maintenance for Multi-component Shock Models," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 63(3), pages 493-511, July.
    4. Caballé, N.C. & Castro, I.T. & Pérez, C.J. & Lanza-Gutiérrez, J.M., 2015. "A condition-based maintenance of a dependent degradation-threshold-shock model in a system with multiple degradation processes," Reliability Engineering and System Safety, Elsevier, vol. 134(C), pages 98-109.
    5. Andrei Sleptchenko & M. Eric Johnson, 2015. "Maintaining Secure and Reliable Distributed Control Systems," INFORMS Journal on Computing, INFORMS, vol. 27(1), pages 103-117, February.
    6. McMorland, J. & Collu, M. & McMillan, D. & Carroll, J. & Coraddu, A., 2023. "Opportunistic maintenance for offshore wind: A review and proposal of future framework," Renewable and Sustainable Energy Reviews, Elsevier, vol. 184(C).
    7. Alotaibi, Naif M. & Scarf, Philip & Cavalcante, Cristiano A.V. & Lopes, Rodrigo S. & de Oliveira e Silva, André Luiz & Rodrigues, Augusto J.S. & Alyami, Salem A., 2023. "Modified-opportunistic inspection and the case of remote, groundwater well-heads," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    8. Rommert Dekker & Ralph Wildeman & Frank Duyn Schouten, 1997. "A review of multi-component maintenance models with economic dependence," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 45(3), pages 411-435, October.
    9. Vincent F. Yu & Thi Huynh Anh Le & Tai-Sheng Su & Shih-Wei Lin, 2021. "Optimal Maintenance Policy for Offshore Wind Systems," Energies, MDPI, vol. 14(19), pages 1-19, September.
    10. Wang, Hongzhou, 2002. "A survey of maintenance policies of deteriorating systems," European Journal of Operational Research, Elsevier, vol. 139(3), pages 469-489, June.
    11. Zhang, Xiaohong & Zeng, Jianchao, 2015. "A general modeling method for opportunistic maintenance modeling of multi-unit systems," Reliability Engineering and System Safety, Elsevier, vol. 140(C), pages 176-190.
    12. Zhang, Chen & Gao, Wei & Guo, Sheng & Li, Youliang & Yang, Tao, 2017. "Opportunistic maintenance for wind turbines considering imperfect, reliability-based maintenance," Renewable Energy, Elsevier, vol. 103(C), pages 606-612.

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