 A geometric process repair model with inspections and its optimisationG.Q. Cheng and L. Li International Journal of Systems Science, 2012, vol. 43, issue 9, 1650-1655 Abstract: In this article, a deteriorating simple repairable system with inspections, is studied. We assume that the system failure can only be detected by inspections and the repair of the system is not as good as new. Further assume that the successive working times of the system form a decreasing geometric process whereas the consecutive repair times form an increasing geometric process. Under these assumptions, we present a bivariate mixed policy (T, N), respectively, based on the time interval between two successive inspections and the failure-number of the system. Our aim is to determine an optimal mixed policy (T, N)* such that the long-run average cost per unit time (i.e. the average cost rate) is minimised. The explicit expression of the average cost rate is derived, and the corresponding optimal mixed policy can be determined numerically. Finally, we provide a numerical example to illustrate our model, and carry through some discussions and sensitivity analysis. Date: 2012 Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:taf:tsysxx:v:43:y:2012:i:9:p:1650-1655 Ordering information: This journal article can be ordered from DOI: 10.1080/00207721.2010.549586 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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