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Reliability analysis of a repairable k-out-of-n system with some components being suspended when the system is down
Authors:Xiaohu Li   Ming J. Zuo  Richard C.M. Yam
Affiliation:aSchool of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, People's Republic of China;bDepartment of Mechanical Engineering, University of Alberta, Edmonton, Alt., Canada T6G 2G8;cDepartment of Manufacturing Engineering and Engineering Management, City University of Hong Kong, Hong Kong, People's Republic of China
Abstract:A k-out-of-n system with independent exponential components is investigated. It is assumed that some working components are suspended as soon as the system is down, repair starts immediately when a component fails and repair times are independent and exponentially distributed. Formulas for various reliability indices of the system including mean time between failures, mean working time in a failure–repair cycle, and mean down time in a failure–repair cycle are derived.
Keywords:Mean time between failures   Exponential distributions   Unlimited repairs   Alternating renewal process
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