Computation and transient analysis of a k-out-of-n:G repairable system with general repair times

被引：0
|
作者：
Wenqing Wu
Yinghui Tang
Miaomiao Yu
Ying Jiang
机构：
[1] Southwest University of Science and Technology,School of Science
[2] Sichuan Normal University,School of Mathematics and Software Science
[3] Sichuan Normal University,Visual Computing and Virtual Reality Key Laboratory of Sichuan Province
[4] Sichuan University of Science and Engineering,School of Science
来源：
Operational Research | 2015年 / 15卷
关键词：
-out-of-; :; system; Semi-Markov process; Transient analysis; Numerical inversion; Performance measures;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper considers a k-out-of-n:G repairable system, in which the working times and repair times of components are governed by exponential distributions and general distributions, respectively. Applying the semi-Markov process theory, the Cramer’s rule and the Laplace (Laplace–Stieltjes) transform, several important performance measures including the availability, the rate of occurrence of failures, the mean up time and the mean time between failures of the system are derived. Moreover, numerical inversion of Laplace transform is carried out to discuss the time-dependent behavior of system performance measures. In addition, a special case (n − 1)-out-of-n:G repairable system is presented to verify the correctness of the analytical results.
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页码：307 / 324
页数：17
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