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Reliability of repairable three-unit system with single vacation and priority |
1.Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China; 2.Mathematics Department, Chaohu Institute, Chaohu, Anhui 238000, China |
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Abstract The repairable threeunit system with single vacation and preemptive priority was investigated. Assuming that the system has a certain closing down rule, there is only one mechanic, and parts can be repaired as good as new. Part 1 has the preemptive priority right to be repaired, and other parts are repaired based on the rule of bad first repair. The lifetimes of the three units show exponential distribution, and part 1 has variable lifetimes. The repairing time is general continuous distribution, and the availability characteristics and the reliability of the system are obtained by the method of supplement variables. A special case was also provided.
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Received: 06 May 2013
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