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Optimal operation and maintenance scheduling in m-out-of-n standby systems with reusable elements

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  • Levitin, Gregory
  • Xing, Liudong
  • Dai, Yuanshun

Abstract

Intensive research efforts have been dedicated to reliability analysis and optimization of standby systems. However, only few of the existing models allow a system element to be used/activated more than once during the mission time, and the existing work assumed a 1-out-of-n structure and fully reliable element activation procedures. This paper advances the state of the art by modeling and optimizing a m-out-of-n standby system subject to preventive replacements and imperfect element activations. Each element may be activated to execute the mission task and subsequently be preventively replaced multiple times during the mission; depending on the length of idle time, the element stays on standby or undergoes protection or maintenance actions prior to its next activation. Probabilistic approaches are suggested to evaluate mission success probability (MSP) and expected mission cost (EMC) for the considered standby system. Two optimization problems are solved, which determine the optimal operation and maintenance schedule (OMS) maximizing MSP and minimizing EMC, respectively. Effects of different model parameters on the MSP and optimization results are examined through examples. The proposed methodology is also extended to a generalized m-out-of-n standby system with heterogenous element performances, where the number of operating elements m may vary during the mission to meet a certain system demand.

Suggested Citation

  • Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2021. "Optimal operation and maintenance scheduling in m-out-of-n standby systems with reusable elements," Reliability Engineering and System Safety, Elsevier, vol. 211(C).
    • Handle: RePEc:eee:reensy:v:211:y:2021:i:c:s0951832021001320
    DOI: 10.1016/j.ress.2021.107582
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    References listed on IDEAS

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    Cited by:

    1. Levitin, Gregory & Xing, Liudong & Dai, Yanshun, 2021. "Joint optimal mission aborting and replacement and maintenance scheduling in dual-unit standby systems," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    2. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2021. "Influence of storage on mission success probability of m-out-of-n standby systems with reusable elements," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    3. Levitin, Gregory & Xing, Liudong & Dai, Yanshun, 2022. "Minimum cost replacement and maintenance scheduling in dual-dissimilar-unit standby systems," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    4. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2022. "Heterogeneous 1-out-of-n standby systems with limited unit operation time," Reliability Engineering and System Safety, Elsevier, vol. 224(C).
    5. Lin, Zhixian & Tao, Longlong & Wang, Shaoxuan & Yong, Nuo & Xia, Dongqin & Wang, Jianye & Ge, Daochuan, 2024. "A subset simulation analysis framework for rapid reliability evaluation of series-parallel cold standby systems," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    6. Oszczypała, Mateusz & Konwerski, Jakub & Ziółkowski, Jarosław & Małachowski, Jerzy, 2024. "Reliability analysis and redundancy optimization of k-out-of-n systems with random variable k using continuous time Markov chain and Monte Carlo simulation," Reliability Engineering and System Safety, Elsevier, vol. 242(C).
    7. Levitin, Gregory & Xing, Liudong & Xiang, Yanping, 2021. "Optimal multiple replacement and maintenance scheduling in two-unit systems," Reliability Engineering and System Safety, Elsevier, vol. 213(C).
    8. Cheng, Dawei & Lu, Zhong & Zhou, Jia & Liang, Xihui, 2023. "An optimizing maintenance policy for airborne redundant systems operating with faults by using Markov process and NSGA-II," Reliability Engineering and System Safety, Elsevier, vol. 236(C).
    9. Vladimir Rykov & Nika Ivanova & Dmitry Kozyrev, 2021. "Application of Decomposable Semi-Regenerative Processes to the Study of k -out-of- n Systems," Mathematics, MDPI, vol. 9(16), pages 1-23, August.

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