A New Approach for Analyzing the Reliability of the Repair Facility in a Series System with Vacations

Renbin Liu and Yong Wu

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: Based on the renewal process theory we develop a decomposition method to analyze the reliability of the repair facility in an n‐unit series system with vacations. Using this approach, we study the unavailability and the mean replacement number during (0, t] of the repair facility. The method proposed in this work is novel and concise, which can make us see clearly the structures of the facility indices of a series system with an unreliable repair facility, two convolution relations. Special cases and numerical examples are given to show the validity of our method.

Date: 2012
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https://doi.org/10.1155/2012/182975

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:182975

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