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A cumulative damage shock model with imperfect preventive maintenance

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  • Masaaki Kijima
  • Toshio Nakagawa

Abstract

In this article we consider a cumulative damage shock model under a periodic preventive maintenance (PM) policy. The PM is imperfect in the sense that each PM reduces the damage level by 100(1 – b)%, 0

Suggested Citation

  • Masaaki Kijima & Toshio Nakagawa, 1991. "A cumulative damage shock model with imperfect preventive maintenance," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(2), pages 145-156, April.
    • Handle: RePEc:wly:navres:v:38:y:1991:i:2:p:145-156
    DOI: 10.1002/1520-6750(199104)38:23.0.CO;2-D
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    References listed on IDEAS

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    1. Michael L. Pinedo & Sheldon M. Ross, 1980. "Scheduling Jobs Subject to Nonhomogeneous Poisson Shocks," Management Science, INFORMS, vol. 26(12), pages 1250-1257, December.
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    Cited by:

    1. Cai, Jun & Willmot, Gordon E., 2005. "Monotonicity and aging properties of random sums," Statistics & Probability Letters, Elsevier, vol. 73(4), pages 381-392, July.
    2. Zhang, Nan & Fouladirad, Mitra & Barros, Anne, 2018. "Optimal imperfect maintenance cost analysis of a two-component system with failure interactions," Reliability Engineering and System Safety, Elsevier, vol. 177(C), pages 24-34.
    3. Afsahi, Mohsen & Shafiee, Mahmood, 2020. "A stochastic simulation-optimization model for base-warranty and extended-warranty decision-making of under- and out-of-warranty products," Reliability Engineering and System Safety, Elsevier, vol. 197(C).
    4. Scarsini, Marco & Shaked, Moshe, 2000. "On the value of an item subject to general repair or maintenance," European Journal of Operational Research, Elsevier, vol. 122(3), pages 625-637, May.
    5. Haijun Li & Susan H. Xu, 2004. "On the Coordinated Random Group Replacement Policy in Multivariate Repairable Systems," Operations Research, INFORMS, vol. 52(3), pages 464-477, June.
    6. Xian Zhao & Rong Li & Yu Fan & Qingan Qiu, 2022. "Reliability modeling for multi-state systems with a protective device considering multiple triggering mechanism," Journal of Risk and Reliability, , vol. 236(1), pages 173-193, February.
    7. Tingting Huang & Songming Chen & Yuepu Zhao & Wei Dai, 2023. "Reliability assessment of degradation processes with random shocks considering recoverable shock damages," Journal of Risk and Reliability, , vol. 237(6), pages 1150-1162, December.

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