可靠性(半导体)
指数函数
基质(化学分析)
功能(生物学)
算法
矩阵指数
计算
计算机科学
不相交集
应用数学
数学优化
数学
可靠性工程
离散数学
工程类
物理
生物
数学分析
进化生物学
复合材料
功率(物理)
材料科学
微分方程
量子力学
作者
Abdullah Alkaff,Mochamad Nur Qomarudin,Yusuf Bilfaqih
标识
DOI:10.1016/j.ress.2020.107192
摘要
An exact method for analyzing the reliability of networks whose components’ lifetimes have matrix-based distributions is proposed. The method produces an add-on algorithm for the available sum of disjoint products (SDP) algorithms so that they can be utilized to calculate the parameters of the network reliability function directly from the parameters of the component reliability functions. Until now, SDP algorithms have only been used to calculate a network reliability value from the reliability values of its components. The advantage is that once the network reliability function is obtained, other reliability measures, such as the network's hazard function, the mean time to failure (MTTF), and the coefficient of variation of the time to failure (CVTTF), can be obtained using only matrix algebra. An extension to general systems containing basic structures that cannot be expressed as an SDP is given. The method is applicable for both phase-type (PH) and matrix-exponential (ME) distributions. The applicability of the method for other distributions is made possible by using PH distributions as their approximation. An application and comparison with a method based on the state-space model are presented to show the superiority of the proposed method, alongside a strategy to reduce its computation time.
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