Abstract This paper considers the optimization problems for a consecutive-2-out-of-n:G system where n is considered to be fixed or random. When the number of components is constant, the optimal number of components and the optimal replacement time are discussed by minimizing the expected cost rates. Furthermore, we focus on the above discussions again when n is a random variable. We give an approximate value of MTTF and propose the preventive replacement policy, respectively.

中文翻译：

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连续 2-out-of-n:G 系统的优化问题

摘要 本文考虑了连续 2-out-of-n:G 系统的优化问题，其中 n 被认为是固定的或随机的。当组件数量不变时，通过最小化预期成本率来讨论最佳组件数量和最佳更换时间。此外，当 n 是随机变量时，我们再次关注上述讨论。我们分别给出了 MTTF 的近似值并提出了预防性更换策略。