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Some Poperties of Repairable k-out-of-n Systems
Majid Chahkandi
Abstract:   (141 Views)

‎The performance of a system depends not only on its design and operation but also on the servicing and maintenance of the item during its operational lifetime‎. ‎Thus‎, ‎the repair and maintenance are important issues in the reliability‎. ‎In this paper‎, ‎a repairable k-out-of-n system is considered that starts operating at time 0‎. ‎If the system fails‎, ‎then it undergoes minimal repair and begins to operate again‎. ‎The reliability function‎, ‎hazard rate function‎, ‎mean residual life function and some reliability properties of the system are obtained by using the connection between the concepts of minimal repair and record values‎. ‎Some known stochastic orders are also used to compare the lifetimes and residual lifetimes of two repairable k-out-of-n systems‎. ‎Finally‎, ‎based on the given information about the lifetimes of k-out-of-n systems‎, ‎some prediction intervals for the lifetime of the proposed repairable system are obtained‎.

Keywords: ‎Stochastic Orders‎, ‎Minimal Repair‎, ‎Record Values‎, ‎k-out-of-n System.
Full-Text [PDF 5785 kb]   (23 Downloads)    
Type of Study: Research | Subject: Reliability
Received: 2016/11/1 | Accepted: 2018/04/14
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مجله علوم آماری – نشریه علمی پژوهشی انجمن آمار ایران Journal of Statistical Sciences
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