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Block replacement policies for a two‐component system with failure dependence

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  • Philip A. Scarf
  • Mohammed Deara

Abstract

Block replacement and modified block replacement policies for two‐component systems with failure dependence and economic dependence are considered in this paper. Opportunistic maintenance policies are also considered. Where tractable, long‐run costs per unit time are calculated using renewal theory based arguments; otherwise simulation studies are carried out. The management implications for the adoption of the various policies are discussed. The usefulness of the results in the paper is illustrated through application to a particular two‐component system. © 2002 Wiley Periodicals, Inc. Naval Research Logistics, 2003

Suggested Citation

  • Philip A. Scarf & Mohammed Deara, 2003. "Block replacement policies for a two‐component system with failure dependence," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(1), pages 70-87, February.
    • Handle: RePEc:wly:navres:v:50:y:2003:i:1:p:70-87
    DOI: 10.1002/nav.10051
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    References listed on IDEAS

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    1. Menachem Berg & Benjamin Epstein, 1976. "A modified block replacement policy," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 23(1), pages 15-24, March.
    2. Wang, W., 1997. "Subjective estimation of the delay time distribution in maintenance modelling," European Journal of Operational Research, Elsevier, vol. 99(3), pages 516-529, June.
    3. Rommert Dekker & Ralph Wildeman & Frank Duyn Schouten, 1997. "A review of multi-component maintenance models with economic dependence," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 45(3), pages 411-435, October.
    4. Joseph Abate & Ward Whitt, 1995. "Numerical Inversion of Laplace Transforms of Probability Distributions," INFORMS Journal on Computing, INFORMS, vol. 7(1), pages 36-43, February.
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    Cited by:

    1. Zhang, Qin & Fang, Zhigeng & Cai, Jiajia, 2021. "Extended block replacement policies with mission durations and maintenance triggering approaches," Reliability Engineering and System Safety, Elsevier, vol. 207(C).
    2. Do, Phuc & Assaf, Roy & Scarf, Phil & Iung, Benoit, 2019. "Modelling and application of condition-based maintenance for a two-component system with stochastic and economic dependencies," Reliability Engineering and System Safety, Elsevier, vol. 182(C), pages 86-97.
    3. Jingyi Zhao & Chunhai Gao & Tao Tang, 2022. "A Review of Sustainable Maintenance Strategies for Single Component and Multicomponent Equipment," Sustainability, MDPI, vol. 14(5), pages 1-22, March.
    4. Vimal Vijayan & Sanjay K Chaturvedi & Ritesh Chandra, 2020. "A failure interaction model for multicomponent repairable systems," Journal of Risk and Reliability, , vol. 234(3), pages 470-486, June.
    5. Liu, Yu & Liu, Qinzhen & Xie, Chaoyang & Wei, Fayuan, 2019. "Reliability assessment for multi-state systems with state transition dependency," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 276-288.

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