任意分布的冷备表决系统可靠度求解

The k/n:M(G) cold standby voting system contains n work units, M cold reserve units, and at least k units work when the system is working. However, the existing research on the k/n:M(G) cold standby voting system focuses on the case of the same type of subsystems with an exponential distribution, without the consideration of a case where subsystems vary in types and obey an arbitrary distribution. In this paper, the reliability of the k/n:M(G) cold standby voting system is studied. The system units obey arbitrary distribution, and the cold standby units obey the same distribution. For the case of k=n, when M takes an arbitrary value, the system reliability formulas for the homotypic and non-homotypic units are given. For the case of k<n, two different cold standby unit replacement strategies are considered, and the system reliability formulas are given for the case of the homotypic unit and the case of non-homotypic units M taking a specific value. Monte Carlo simulation experiment proves the accuracy of the proposed method.