When a unit should provide reliability at mission time, the mission success probability or failure probability becomes an important constraint to plan inspection policies. From this viewpoint, this paper considers the optimization problems of periodic and sequential inspection policies with mission failure probabilities. In this paper, a mission time is considered as a renewal point for inspection polices, but the failure cost occurred at mission time is higher than the total cost of inspection and failure detection. We give an upper limit of the failure probability at mission time, that is, mission failure probability, to minimize the total expected costs and the expected cost rates of inspection policies. In addition, the extended models of inspection policies for an interval mission, possible random times, and operating interval are discussed.

中文翻译：

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具有任务失败概率的定期和顺序检查策略

当一个单元应在任务时提供可靠性时，任务成功概率或失败概率成为计划检查策略的重要约束。从这个角度出发，本文考虑了具有任务失败概率的定期和顺序检查策略的优化问题。在本文中，任务时间被认为是检查策略的更新点，但任务时间发生的故障成本高于检查和故障检测的总成本。我们给出了任务时间失败概率的上限，即任务失败概率，以最小化检查策略的总预期成本和预期成本率。此外，还讨论了间隔任务、可能的随机时间和操作间隔的检查策略的扩展模型。