ABSTRACT

There are many studies on standby redundant systems, since those are the most standard models for ensuring reliability in systems. Particularly, two-component priority standby redundant systems are one of the most fundamental and important redundant models in the reliability theory. In recent years, the procedure for evaluating the mean time to failure (MTTF) of the two-component priority standby redundant system has been proposed by using mixed Erlang distributions as approximate distributions. In this study, by expanding the idea on evaluating MTTF proposed in the previous research, an evaluation method for the variance of failure times (VOFT) in the two-component priority standby redundant system has been presented. Furthermore, we have proposed a procedure for deriving the reliability function in the system based on the maximum entropy principle by utilizing MTTF and VOFT. Through some numerical applications, the validity of the procedures for deriving the reliability function developed in this study has been shown.

摘要

关于备用冗余系统的研究很多，因为它们是确保系统可靠性的最标准模型。特别地，两部分优先级备用冗余系统是可靠性理论中最基本，最重要的冗余模型之一。近年来，已经提出了通过使用混合Erlang分布作为近似分布来评估两组分优先级备用冗余系统的平均故障时间（MTTF）的过程。在这项研究中，通过扩展先前研究中提出的评估MTTF的想法，提出了一种在两组分优先级备用冗余系统中故障时间方差（VOFT）的评估方法。此外，我们提出了一种利用最大熵原理利用MTTF和VOFT推导系统可靠性函数的程序。通过一些数值应用，证明了本研究开发的推导可靠性函数的程序的有效性。