Reliability analysis of a repairable k-out-of-n system with some components being suspended when the system is down |
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Authors: | Xiaohu Li Ming J. Zuo Richard C.M. Yam |
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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 |
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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. |
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Keywords: | Mean time between failures Exponential distributions Unlimited repairs Alternating renewal process |
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