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Preventive maintenance for systems with repairable minor failures

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  • Maxim Finkelstein
  • Mahmood Shafiee

Abstract

Reliability modeling of repairable systems deals mostly with two types of repair. Perfect repair brings a system to “as good as new†state. Minimal repair, on the contrary, returns a system to the state immediately prior to failure. In this article, we consider perfect and imperfect preventive maintenance actions for a system subjected to minor and major failures. Minor failures are minimally repaired, whereas a major failure terminates the operational function of the system and can be considered as an end-of-life event. The preventive maintenance strategies that we propose and analyze increase mission success probability and extend the expected lifetime of the system. The modeling is illustrated with numerical examples.

Suggested Citation

  • Maxim Finkelstein & Mahmood Shafiee, 2017. "Preventive maintenance for systems with repairable minor failures," Journal of Risk and Reliability, , vol. 231(2), pages 101-108, April.
    • Handle: RePEc:sae:risrel:v:231:y:2017:i:2:p:101-108
    DOI: 10.1177/1748006X16686898
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    References listed on IDEAS

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    1. Pham, Hoang & Wang, Hongzhou, 1996. "Imperfect maintenance," European Journal of Operational Research, Elsevier, vol. 94(3), pages 425-438, November.
    2. Richard Barlow & Larry Hunter, 1960. "Optimum Preventive Maintenance Policies," Operations Research, INFORMS, vol. 8(1), pages 90-100, February.
    3. Finkelstein, Maxim & Ludick, Zani, 2014. "On some steady-state characteristics of systems with gradual repair," Reliability Engineering and System Safety, Elsevier, vol. 128(C), pages 17-23.
    4. Hongzhou Wang & Hoang Pham, 2006. "Reliability and Optimal Maintenance," Springer Series in Reliability Engineering, Springer, number 978-1-84628-325-3, September.
    5. Maxim Finkelstein, 2008. "Failure Rate Modelling for Reliability and Risk," Springer Series in Reliability Engineering, Springer, number 978-1-84800-986-8, September.
    6. Maxim Finkelstein & Ji Hwan Cha, 2013. "Burn-in for Heterogeneous Populations," Springer Series in Reliability Engineering, in: Stochastic Modeling for Reliability, edition 127, chapter 0, pages 261-312, Springer.
    7. Finkelstein, Maxim, 2009. "On systems with shared resources and optimal switching strategies," Reliability Engineering and System Safety, Elsevier, vol. 94(8), pages 1358-1362.
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    10. Hamidi, Maryam & Szidarovszky, Ferenc & Szidarovszky, Miklos, 2016. "New one cycle criteria for optimizing preventive replacement policies," Reliability Engineering and System Safety, Elsevier, vol. 154(C), pages 42-48.
    11. Shafiee, Mahmood & Finkelstein, Maxim & Chukova, Stefanka, 2011. "On optimal upgrade level for used products under given cost structures," Reliability Engineering and System Safety, Elsevier, vol. 96(2), pages 286-291.
    12. Kahle, Waltraud, 2007. "Optimal maintenance policies in incomplete repair models," Reliability Engineering and System Safety, Elsevier, vol. 92(5), pages 563-565.
    13. Philip J. Boland, 1982. "Periodic replacement when minimal repair costs vary with time," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 29(4), pages 541-546, December.
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