At some instances, it is better to terminate operation of a system than to wait for its failure or completion. However, in this article, we are mostly interested in missions that are cost-effective during the whole mission time and, therefore, do not require termination. Moreover, some requirements for parameters of the considered models that guarantee this cost-effectiveness are analyzed. We consider two failure models for systems executing missions of the fixed duration. In the first model, degradation is partially observed via the number of shocks experienced by a system. Shocks act directly on the failure rate forming the shot-noise process. In the second model, degradation is completely observed and is modeled by the Poisson process. Thus, the number of shocks or the number of failed components is the degradation parameters in our models, respectively. The detailed numerical examples illustrate our findings. Specifically, the bounds for the number of events (shocks or component’s failures) observed at each instant of time that guarantee cost-effectiveness of a mission are obtained.

在某些情况下，终止系统的运行要比等待其故障或完成更好。但是，在本文中，我们最感兴趣的是在整个任务时间内具有成本效益的任务，因此不需要终止任务。此外，分析了对保证该成本效益的模型参数的一些要求。对于执行固定持续时间任务的系统，我们考虑两种故障模型。在第一个模型中，通过系统遭受的冲击数量可以部分观察到性能下降。冲击直接作用于故障率，从而形成散粒噪声过程。在第二个模型中，可以完全观察到退化，并通过泊松过程进行​​建模。因此，在我们的模型中，电击次数或失效组件的数量是退化参数，分别。详细的数值示例说明了我们的发现。具体而言，获得在每个时间瞬间观察到的能够保证任务成本效益的事件（冲击或组件故障）数量的界限。