Random number of units for K-out-of-n systems

Random number of units for K-out-of-n systems
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DOI:
10.1016/j.apm.2017.01.027
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发表时间:
2017-05
影响因子:
5
通讯作者:
Kodo Ito;Xufeng Zhao;T. Nakagawa
Kodo Ito;Xufeng Zhao;T. Nakagawa
中科院分区:
工程技术2区
文献类型:
--
作者:
Kodo Ito;Xufeng Zhao;T. Nakagawa

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本文研究了n中取K系统的可靠性和预防更换问题,其中K是给定的随机参数。首先,我们考虑了传统方法中K为常数的情况,得到了系统可靠度R(t)、平均无故障时间(MTTF)和更换策略,其中更换单元数n和更换操作时间T分别是最优的。其次,当K不能被恒定地预定义,但它是具有估计概率函数的随机变量时,我们再次关注上述讨论。此外,我们给出了近似计算的MTTF,最佳数目n * 和更换时间T * 分别以一种更容易的方式。
This paper takes up the reliability and preventive replacement problems for aK-out-of-nsystem, whereKis a stochastic parameter provided. Firstly, we consider the case whenKis predefined as constant numbers as is done with the traditional method, and obtain the system reliabilityR(t), mean time to failure (MTTF), and replacement policies, in which the numbernof units for replacement and replacement timeTof operation are, respectively, optimized. Secondly, we focus on the above discussions again whenKcannot be predefined constantly, but it is a random variable with an estimated probability function. Furthermore, we give approximate computations in an easier way for MTTF, optimal numbern* and replacement timeT*, respectively.