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Optimal preventive maintenance for repairable weighted k-out-of-n systems

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  • Hamdan, K.
  • Tavangar, M.
  • Asadi, M.

Abstract

Weighted k-out-of-n systems form an important class of redundant systems with a wide range of applications in reliability engineering. In this paper, we introduce novel optimal preventive maintenance models for the class of weighted k-out-of-n systems based on average cost and availability criteria. Depending on the average number of failed components, we set up a cost (availability) function corresponding to the time that the total weights of the working components become less than a predetermined threshold m, or the age of the system reaches TPM. The form of the cost (and availability) function relies on the mixture representation of the system reliability based on the notion of the signature of the system. Some examples of weighted k-out-of-n systems are presented to demonstrate the proposed models numerically and graphically.

Suggested Citation

  • Hamdan, K. & Tavangar, M. & Asadi, M., 2021. "Optimal preventive maintenance for repairable weighted k-out-of-n systems," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    • Handle: RePEc:eee:reensy:v:205:y:2021:i:c:s0951832020307651
    DOI: 10.1016/j.ress.2020.107267
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    3. Vladimir Rykov & Olga Kochueva & Yaroslav Rykov, 2021. "Preventive Maintenance of the k -out-of- n System with Respect to Cost-Type Criterion," Mathematics, MDPI, vol. 9(21), pages 1-15, November.
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    5. Ioannis S. Triantafyllou, 2022. "Signature-Based Analysis of the Weighted- r -within-Consecutive- k -out-of- n : F Systems," Mathematics, MDPI, vol. 10(15), pages 1-13, July.
    6. 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).
    7. Chadha, Mayank & Ramancha, Mukesh K. & Vega, Manuel A. & Conte, Joel P. & Todd, Michael D., 2023. "The modeling of risk perception in the use of structural health monitoring information for optimal maintenance decisions," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    8. Vladimir Rykov & Olga Kochueva, 2023. "Preventive Maintenance of k -out-of- n System with Dependent Failures," Mathematics, MDPI, vol. 11(2), pages 1-17, January.
    9. Xia, Tangbin & Cao, Lei & Xu, Yuhui & Zhang, Kaigan & Chen, Zhen & Pan, Ershun & Xi, Lifeng, 2024. "Multi-level maintenance and inventory joint optimization for a k-out-of-n hyper-system considering the selection of suppliers with incentive discount policies," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    10. 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).
    11. Eryilmaz, Serkan & Ucum, Kaan Ayberk, 2021. "The lost capacity by the weighted k-out-of-n system upon system failure," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    12. Safaei, Fatemeh & Ahmadi, Jafar & Taghipour, Sharareh, 2022. "A maintenance policy for a k-out-of-n system under enhancing the system’s operating time and safety constraints, and selling the second-hand components," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    13. Wang, Yan & Hu, Linmin & Yang, Li & Li, Jing, 2022. "Reliability modeling and analysis for linear consecutive-k-out-of-n: F retrial systems with two maintenance activities," Reliability Engineering and System Safety, Elsevier, vol. 226(C).

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