IDEAS home Printed from https://ideas.repec.org/a/sae/risrel/v237y2023i4p703-713.html
   My bibliography  Save this article

Maintenance analysis of a partial observable K-out-of-N system with load sharing units

Author

Listed:
  • Nan Zhang
  • Sen Tian
  • Le Li
  • Zhongbin Wang
  • Jun Zhang

Abstract

In this paper, we consider the inspection and maintenance optimization of a K -out-of- N load-sharing system that operates in a deteriorating working condition. The failure rate of each component depends on its load-sharing and the system working condition. During the operation, the system working condition can be deteriorated from the healthy state to the abnormal state. Both the states of the components and the system working environment are hidden. To ensure the system safety, periodical inspection is implemeted, upon which, two-folds of information can be obtained: the state of each component and the partial revealed information corresponding to the state of the working condition. A maintenance policy is proposed based on the observations. The policy is assessed by the total expected discounted maintenance cost in the long-run horizon. We cast the problem into a partially observable Markov decision process framework. We utilize the value iteration algorithm to solve the inspection and maintenance optimization problem. Sensitivity analyses through numerical examples are carried out. A case study of a parallel system with electric motors is examined to show the applicability of the proposed model.

Suggested Citation

  • Nan Zhang & Sen Tian & Le Li & Zhongbin Wang & Jun Zhang, 2023. "Maintenance analysis of a partial observable K-out-of-N system with load sharing units," Journal of Risk and Reliability, , vol. 237(4), pages 703-713, August.
    • Handle: RePEc:sae:risrel:v:237:y:2023:i:4:p:703-713
    DOI: 10.1177/1748006X221109351
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1177/1748006X221109351
    Download Restriction: no
    File URL: https://libkey.io/10.1177/1748006X221109351?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Bei Wu & Lirong Cui, 2022. "On reliability analysis of a load-sharing k-out-of-n: G system with interacting Markov subsystems," International Journal of Production Research, Taylor & Francis Journals, vol. 60(7), pages 2331-2345, April.
    2. Santosh S. Sutar & U. V. Naik-Nimbalkar, 2016. "A model for k-out-of-m load-sharing systems," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(20), pages 5946-5960, October.
    3. Olde Keizer, Minou C.A. & Teunter, Ruud H. & Veldman, Jasper & Babai, M. Zied, 2018. "Condition-based maintenance for systems with economic dependence and load sharing," International Journal of Production Economics, Elsevier, vol. 195(C), pages 319-327.
    4. Liu, Bin & Pandey, Mahesh D. & Wang, Xiaolin & Zhao, Xiujie, 2021. "A finite-horizon condition-based maintenance policy for a two-unit system with dependent degradation processes," European Journal of Operational Research, Elsevier, vol. 295(2), pages 705-717.
    5. Havinga, Maik J.A. & de Jonge, Bram, 2020. "Condition-based maintenance in the cyclic patrolling repairman problem," International Journal of Production Economics, Elsevier, vol. 222(C).
    6. Wang, Guanjun & Peng, Rui & Xing, Liudong, 2018. "Reliability evaluation of unrepairable k-out-of-n: G systems with phased-mission requirements based on record values," Reliability Engineering and System Safety, Elsevier, vol. 178(C), pages 191-197.
    7. Shi, Yue & Zhu, Weihang & Xiang, Yisha & Feng, Qianmei, 2020. "Condition-based maintenance optimization for multi-component systems subject to a system reliability requirement," Reliability Engineering and System Safety, Elsevier, vol. 202(C).
    8. Olde Keizer, Minou C.A. & Flapper, Simme Douwe P. & Teunter, Ruud H., 2017. "Condition-based maintenance policies for systems with multiple dependent components: A review," European Journal of Operational Research, Elsevier, vol. 261(2), pages 405-420.
    9. Lirong Cui & Hongda Gao & Yuchang Mo, 2018. "Reliability for k-out-of-n:F balanced systems with m sectors," IISE Transactions, Taylor & Francis Journals, vol. 50(5), pages 381-393, May.
    10. Bin Liu & Xiujie Zhao & Yiqi Liu & Phuc Do, 2021. "Maintenance optimisation for systems with multi-dimensional degradation and imperfect inspections," International Journal of Production Research, Taylor & Francis Journals, vol. 59(24), pages 7537-7559, December.
    11. Richard D. Smallwood & Edward J. Sondik, 1973. "The Optimal Control of Partially Observable Markov Processes over a Finite Horizon," Operations Research, INFORMS, vol. 21(5), pages 1071-1088, October.
    12. Uit Het Broek, Michiel A.J. & Teunter, Ruud H. & de Jonge, Bram & Veldman, Jasper, 2021. "Joint condition-based maintenance and load-sharing optimization for two-unit systems with economic dependency," European Journal of Operational Research, Elsevier, vol. 295(3), pages 1119-1131.
    13. Zhu, Wenjin & Fouladirad, Mitra & Bérenguer, Christophe, 2016. "A multi-level maintenance policy for a multi-component and multifailure mode system with two independent failure modes," Reliability Engineering and System Safety, Elsevier, vol. 153(C), pages 50-63.
    14. Zhang, Nan & Fouladirad, Mitra & Barros, Anne, 2019. "Reliability-based measures and prognostic analysis of a K-out-of-N system in a random environment," European Journal of Operational Research, Elsevier, vol. 272(3), pages 1120-1131.
    15. Levitin, Gregory & Xing, Liudong & Dai, Yuanshun, 2014. "Cold vs. hot standby mission operation cost minimization for 1-out-of-N systems," European Journal of Operational Research, Elsevier, vol. 234(1), pages 155-162.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wang, Yukun & Li, Xiaopeng & Chen, Junyan & Liu, Yiliu, 2022. "A condition-based maintenance policy for multi-component systems subject to stochastic and economic dependencies," Reliability Engineering and System Safety, Elsevier, vol. 219(C).
    2. Zhang, Nan & Deng, Yingjun & Liu, Bin & Zhang, Jun, 2023. "Condition-based maintenance for a multi-component system in a dynamic operating environment," Reliability Engineering and System Safety, Elsevier, vol. 231(C).
    3. Azizi, Fariba & Salari, Nooshin, 2023. "A novel condition-based maintenance framework for parallel manufacturing systems based on bivariate birth/birth–death processes," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    4. Dilaver, Halit Metehan & Akçay, Alp & van Houtum, Geert-Jan, 2023. "Integrated planning of asset-use and dry-docking for a fleet of maritime assets," International Journal of Production Economics, Elsevier, vol. 256(C).
    5. Eryilmaz, Serkan & Devrim, Yilser, 2019. "Reliability and optimal replacement policy for a k-out-of-n system subject to shocks," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 393-397.
    6. Zhang, Wenyu & Zhang, Xiaohong & He, Shuguang & Zhao, Xing & He, Zhen, 2024. "Optimal condition-based maintenance policy for multi-component repairable systems with economic dependence in a finite-horizon," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    7. Zhao, Xian & Li, Ziyue & Wang, Xiaoyue & Guo, Bin, 2023. "Reliability of performance-based system containing multiple load-sharing subsystems with protective devices considering protection randomness," Reliability Engineering and System Safety, Elsevier, vol. 239(C).
    8. Shuto, Susumu & Amemiya, Takashi, 2022. "Sequential Bayesian inference for Weibull distribution parameters with initial hyperparameter optimization for system reliability estimation," Reliability Engineering and System Safety, Elsevier, vol. 224(C).
    9. de Jonge, Bram & Scarf, Philip A., 2020. "A review on maintenance optimization," European Journal of Operational Research, Elsevier, vol. 285(3), pages 805-824.
    10. Liu, Gehui & Chen, Shaokuan & Ho, Tinkin & Ran, Xinchen & Mao, Baohua & Lan, Zhen, 2022. "Optimum opportunistic maintenance schedule over variable horizons considering multi-stage degradation and dynamic strategy," Reliability Engineering and System Safety, Elsevier, vol. 225(C).
    11. Zhang, Nan & Cai, Kaiquan & Zhang, Jun & Wang, Tian, 2022. "A condition-based maintenance policy considering failure dependence and imperfect inspection for a two-component system," Reliability Engineering and System Safety, Elsevier, vol. 217(C).
    12. da Costa, Paulo & Verleijsdonk, Peter & Voorberg, Simon & Akcay, Alp & Kapodistria, Stella & van Jaarsveld, Willem & Zhang, Yingqian, 2023. "Policies for the dynamic traveling maintainer problem with alerts," European Journal of Operational Research, Elsevier, vol. 305(3), pages 1141-1152.
    13. Cheng, Yao & Wei, Yian & Liao, Haitao, 2022. "Optimal sampling-based sequential inspection and maintenance plans for a heterogeneous product with competing failure modes," Reliability Engineering and System Safety, Elsevier, vol. 218(PB).
    14. Uit Het Broek, Michiel A.J. & Teunter, Ruud H. & de Jonge, Bram & Veldman, Jasper, 2021. "Joint condition-based maintenance and load-sharing optimization for two-unit systems with economic dependency," European Journal of Operational Research, Elsevier, vol. 295(3), pages 1119-1131.
    15. Oakley, Jordan L. & Wilson, Kevin J. & Philipson, Pete, 2022. "A condition-based maintenance policy for continuously monitored multi-component systems with economic and stochastic dependence," Reliability Engineering and System Safety, Elsevier, vol. 222(C).
    16. Petchrompo, Sanyapong & Parlikad, Ajith Kumar, 2019. "A review of asset management literature on multi-asset systems," Reliability Engineering and System Safety, Elsevier, vol. 181(C), pages 181-201.
    17. Fan, Dongming & Zhang, Aibo & Feng, Qiang & Cai, Baoping & Liu, Yiliu & Ren, Yi, 2021. "Group maintenance optimization of subsea Xmas trees with stochastic dependency," Reliability Engineering and System Safety, Elsevier, vol. 209(C).
    18. Yang, Li & Ye, Zhi-sheng & Lee, Chi-Guhn & Yang, Su-fen & Peng, Rui, 2019. "A two-phase preventive maintenance policy considering imperfect repair and postponed replacement," European Journal of Operational Research, Elsevier, vol. 274(3), pages 966-977.
    19. Barlow, E. & Bedford, T. & Revie, M. & Tan, J. & Walls, L., 2021. "A performance-centred approach to optimising maintenance of complex systems," European Journal of Operational Research, Elsevier, vol. 292(2), pages 579-595.
    20. Huynh, K.T. & Vu, H.C. & Nguyen, T.D. & Ho, A.C., 2022. "A predictive maintenance model for k-out-of-n:F continuously deteriorating systems subject to stochastic and economic dependencies," Reliability Engineering and System Safety, Elsevier, vol. 226(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sae:risrel:v:237:y:2023:i:4:p:703-713. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: SAGE Publications (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.