 Optimal number of minimal repairs with cumulative repair cost limit for a two-unit system with failure rate interactionsMin-Tsai Lai and Huey Yan International Journal of Systems Science, 2016, vol. 47, issue 2, 466-473 Abstract: A discrete replacement model is presented that includes a cumulative repair cost limit for a two-unit system with failure rate interactions between the units. We assume a failure in unit 1 causes the failure rate in unit 2 to increase, whereas a failure in unit 2 causes a failure in unit 1, resulting in a total system failure. If unit 1 fails and the cumulative repair cost till to this failure is less than a limit L, then unit 1 is repaired. If there is a failure in unit 1 and the cumulative repair cost exceeds L or the number of failures equals n, the entire system is preventively replaced. The system is also replaced at a total failure, and such replacement cost is higher than the preventive replacement cost. The long-term expected cost per unit time is derived using the expected costs as the optimality criterion. The minimum-cost policy is derived, and existence and uniqueness are proved. Date: 2016 Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:taf:tsysxx:v:47:y:2016:i:2:p:466-473 Ordering information: This journal article can be ordered from DOI: 10.1080/00207721.2014.886749 Access Statistics for this article International Journal of Systems Science is currently edited by Visakan Kadirkamanathan More articles in International Journal of Systems Science from Taylor & Francis Journals |
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