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A condition-based maintenance policy with non-periodic inspection for k-out-of-n: G systems

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  • Liu, Yongchao
  • Wang, Guanjun
  • Liu, Peng

Abstract

This paper studies a condition-based maintenance policy for k-out-of-n: G systems subject to economic dependence. All components in the system are identical and unrepairable, with an exponential lifetime distribution. The state of the system is not self-announcing, which can only be revealed by inspection. At each inspection moment, the maintenance decision and the next inspection plan are made according to the system status revealed by the inspection. The optimal maintenance strategy can be obtained in three steps. Firstly, a dynamic programming approach is used to determine the sequence of optimal inspection intervals gradually. Secondly, a searching method is used to optimize the preventive maintenance threshold of the system based on the renewal process theory. Thirdly, the optimal number of components that constitutes the redundant system is decided. Furthermore, the average availability and mean time to failure of the system are also derived iteratively. The effectiveness of the proposed maintenance policy is validated by a 5-out-of-n: G system. Numerical comparison with the periodic inspection policy shows the outstanding performance of the proposed maintenance policy.

Suggested Citation

  • Liu, Yongchao & Wang, Guanjun & Liu, Peng, 2024. "A condition-based maintenance policy with non-periodic inspection for k-out-of-n: G systems," Reliability Engineering and System Safety, Elsevier, vol. 241(C).
    • Handle: RePEc:eee:reensy:v:241:y:2024:i:c:s0951832023005549
    DOI: 10.1016/j.ress.2023.109640
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    References listed on IDEAS

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    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. S. D. Chikte & S. D. Deshmukh, 1981. "Preventive maintenance and replacement under additive damage," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 28(1), pages 33-46, March.
    3. 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).
    4. Wu, Hui & Li, Yan-Fu & Bérenguer, Christophe, 2020. "Optimal inspection and maintenance for a repairable k-out-of-n: G warm standby system," Reliability Engineering and System Safety, Elsevier, vol. 193(C).
    5. Wang, Jingjing & Qiu, Qingan & Wang, Huanhuan & Lin, Cong, 2021. "Optimal condition-based preventive maintenance policy for balanced systems," Reliability Engineering and System Safety, Elsevier, vol. 211(C).
    6. Bjarnason, Erik T.S. & Taghipour, Sharareh & Banjevic, Dragan, 2014. "Joint optimal inspection and inventory for a k-out-of-n system," Reliability Engineering and System Safety, Elsevier, vol. 131(C), pages 203-215.
    7. Hajipour, Yassin & Taghipour, Sharareh, 2016. "Non-periodic inspection optimization of multi-component and k-out-of-m systems," Reliability Engineering and System Safety, Elsevier, vol. 156(C), pages 228-243.
    8. 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).
    9. Barker, C.T. & Newby, M.J., 2009. "Optimal non-periodic inspection for a multivariate degradation model," Reliability Engineering and System Safety, Elsevier, vol. 94(1), pages 33-43.
    10. Liu, Qiannan & Ma, Lin & Wang, Naichao & Chen, Ankang & Jiang, Qihang, 2022. "A condition-based maintenance model considering multiple maintenance effects on the dependent failure processes," Reliability Engineering and System Safety, Elsevier, vol. 220(C).
    11. 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.
    12. Erik Tryggvi Striz Bjarnason & Sharareh Taghipour, 2016. "Periodic inspection frequency and inventory policies for a -out-of- system," IISE Transactions, Taylor & Francis Journals, vol. 48(7), pages 638-650, July.
    13. Alebrant Mendes, Angélica & Coit, David W. & Duarte Ribeiro, José Luis, 2014. "Establishment of the optimal time interval between periodic inspections for redundant systems," Reliability Engineering and System Safety, Elsevier, vol. 131(C), pages 148-165.
    14. Zhang, Nan & Fouladirad, Mitra & Barros, Anne & Zhang, Jun, 2020. "Condition-based maintenance for a K-out-of-N deteriorating system under periodic inspection with failure dependence," European Journal of Operational Research, Elsevier, vol. 287(1), pages 159-167.
    15. Sharifi, Mani & Taghipour, Sharareh & Abhari, Abdolreza, 2021. "Inspection interval optimization for a k-out-of-n load sharing system under a hybrid mixed redundancy strategy," Reliability Engineering and System Safety, Elsevier, vol. 213(C).
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