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Group replacement policies for parallel systems whosecomponents have phase distributed failure times

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  • E. Popova
  • J.G. Wilson

Abstract

Consider a system of components operating in parallel. Downtime costs are incurredwhen failed components are not repaired or replaced. There are also fixed, unit repair andreplacement costs associated with the system. The failure distributions of the componentsare assumed to be identically distributed random variables. Results on calculating the expectedcost and variance per unit time of various group replacement policies will be provided.Consideration of variance is important since, in many cases, practitioners wish not only toachieve small expected cost but also to reduce variability from cycle to cycle. Phase distributionsallow for the modeling of a wide range failure time behavior. Closed‐form resultsare derived for the three major classes of group replacement policy (m‐failure, T‐age, and(m, T)) when the underlying distribution is of phase type. Copyright Kluwer Academic Publishers 1999

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  • E. Popova & J.G. Wilson, 1999. "Group replacement policies for parallel systems whosecomponents have phase distributed failure times," Annals of Operations Research, Springer, vol. 91(0), pages 163-198, January.
    • Handle: RePEc:spr:annopr:v:91:y:1999:i:0:p:163-198:10.1023/a:1018941521644
    DOI: 10.1023/A:1018941521644
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    Cited by:

    1. Zhou, Xiaojun & Lu, Zhiqiang & Xi, Lifeng, 2012. "Preventive maintenance optimization for a multi-component system under changing job shop schedule," Reliability Engineering and System Safety, Elsevier, vol. 101(C), pages 14-20.
    2. Zhang, Xiaohong & Zeng, Jianchao, 2017. "Joint optimization of condition-based opportunistic maintenance and spare parts provisioning policy in multiunit systems," European Journal of Operational Research, Elsevier, vol. 262(2), pages 479-498.
    3. Robin P. Nicolai & Rommert Dekker, 2008. "Optimal Maintenance of Multi-component Systems: A Review," Springer Series in Reliability Engineering, in: Complex System Maintenance Handbook, chapter 11, pages 263-286, Springer.
    4. Wang, Hongzhou, 2002. "A survey of maintenance policies of deteriorating systems," European Journal of Operational Research, Elsevier, vol. 139(3), pages 469-489, June.
    5. 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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