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Group replacement policies for a repairable cold standby system with fixed lead times

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  • Yonit Barron

Abstract

Consider a multi-component repairable cold standby system and assume that repaired units are as good as new. The operational times of the units follow phase-type distribution. Downtime cost is occurred when failed components are not repaired or replaced. There are also fixed, unit repair, and replacement costs associated with the maintenance facility, which are carried out after a fixed lead time τ. Closed-form results are derived for three classes of group replacement policies (m-failure, T-age, and (m, T, τ), which is a refinement of the classic (m, T) policy) for the expected discounted case and for the long-run average criteria. Illustrative examples are provided.

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  • Yonit Barron, 2015. "Group replacement policies for a repairable cold standby system with fixed lead times," IISE Transactions, Taylor & Francis Journals, vol. 47(10), pages 1139-1151, October.
    • Handle: RePEc:taf:uiiexx:v:47:y:2015:i:10:p:1139-1151
    DOI: 10.1080/0740817X.2015.1019163
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    Cited by:

    1. Liang, Zhenglin & Parlikad, Ajith Kumar, 2020. "Predictive group maintenance for multi-system multi-component networks," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
    2. Joby K. Jose & M. Drisya, 2020. "Time-dependent stress–strength reliability models based on phase type distribution," Computational Statistics, Springer, vol. 35(3), pages 1345-1371, September.
    3. 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).
    4. Nooshin Salari & Viliam Makis, 2020. "Joint maintenance and just-in-time spare parts provisioning policy for a multi-unit production system," Annals of Operations Research, Springer, vol. 287(1), pages 351-377, April.
    5. Gao, Shan & Wang, Jinting, 2021. "Reliability and availability analysis of a retrial system with mixed standbys and an unreliable repair facility," Reliability Engineering and System Safety, Elsevier, vol. 205(C).
    6. Ruiz-Castro, Juan Eloy, 2020. "A complex multi-state k-out-of-n: G system with preventive maintenance and loss of units," Reliability Engineering and System Safety, Elsevier, vol. 197(C).
    7. Yonit Barron & Uri Yechiali, 2017. "Generalized control-limit preventive repair policies for deteriorating cold and warm standby Markovian systems," IISE Transactions, Taylor & Francis Journals, vol. 49(11), pages 1031-1049, November.
    8. Yonit Barron, 2018. "Group maintenance policies for an R-out-of-N system with phase-type distribution," Annals of Operations Research, Springer, vol. 261(1), pages 79-105, February.

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