An optimal replacement policy for a repairable system based on its repairman having vacations

Li Yuan and Jian Xu

Reliability Engineering and System Safety, 2011, vol. 96, issue 7, 868-875

Abstract: This paper studies a cold standby repairable system with two different components and one repairman who can take multiple vacations. If there is a component which fails and the repairman is on vacation, the failed component will wait for repair until the repairman is available. In the system, assume that component 1 has priority in use. After repair, component 1 follows a geometric process repair, while component 2 can be repaired as good as new after failures. Under these assumptions, a replacement policy N based on the failed times of component 1 is studied. The system will be replaced if the failure times of component 1 reach N. The explicit expression of the expected cost rate is given, so that the optimal replacement time Nâ Ž is determined. Finally, a numerical example is given to illustrate the theoretical results of the model.

Keywords: Geometric process; Optimal replacement policy; Priority; Vacation; Delayed repair (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:reensy:v:96:y:2011:i:7:p:868-875

DOI: 10.1016/j.ress.2011.02.004

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