In practice, it is often important to know how a system is performing as compared with initial, prior assessment of its reliability characteristics (black‐box scenario). For degrading systems, this comparison can be executed by observing degradation dynamically and then comparing the corresponding remaining lifetime of an operating system at each instant of time with that of the black‐box scenario. As a motivating example, the 1 out of n cold standby system is considered. Then the results of comparisons are generalized to the case of the general monotone stochastic processes of deterioration. Finally, based on the developed reasoning, a problem of describing the quality of performance of systems executing missions of the fixed duration is considered for the cost‐wise and probability‐wise criteria. The detailed numerical examples for the homogeneous gamma process of deterioration are presented.

中文翻译：

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执行固定持续时间任务的退化系统的新操作特性

在实践中，与对其可靠性特性的初始、先前评估（黑盒场景）相比，了解系统的性能通常很重要。对于降级系统，这种比较可以通过动态观察降级，然后将操作系统在每个时刻对应的剩余寿命与黑盒场景的剩余寿命进行比较来执行。作为一个激励示例，考虑了 n 中的 1 冷备用系统。然后将比较结果推广到一般单调随机恶化过程的情况。最后，基于发展的推理，描述执行固定持续时间任务的系统的性能质量的问题被考虑为成本和概率标准。