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Virtual series-system models of imperfect repair

机译：虚拟系列系统模型不完美修复

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Novel models of imperfect repair are fitted to classic reliability datasets. The models suppose that a virtual system comprises a component and a remainder in series. On failure of the component, the component is renewed, and on failure of the remainder, the component is renewed and the remainder is minimally repaired. It follows that the repair process is a counting process that is the superposition of a renewal process and a Poisson process. The repair effect, that is, the extent to the system is repaired by renewal of the component, depends on the relative intensities of the superposed processes. The repair effect may be negative, when the intensity of the part that is a renewal process is a decreasing function. Other special cases of the model exist (renewal process, Poisson process, superposed renewal process and homogeneous Poisson process). Model fit is important because the nature of the model and corresponding parameter values determine the effectiveness of maintenance, which we also consider. A cost-minimising repair policy may be determined provided the cost of preventive-repair is less than the cost of corrective-repair and the repairable part is ageing. If the remainder is ageing, then policy needs to be adapted as it ages.
机译：新颖的不完美修复模型适用于经典可靠性数据集。模型假设虚拟系统包括组件和依次串联。在组件的故障上，续期组件，并且剩余部分的故障，该组分更新，其余部分最小化。因此，修复过程是一个计数过程，即更新过程和泊松过程的叠加。修复效果，即通过更新组件来修复系统的程度，取决于叠加过程的相对强度。当更新过程的部分的强度是减小的功能时，修复效果可能是否定的。该模型的其他特殊情况存在（更新过程，泊松工艺，更新的更新过程和均匀泊松过程）。模型适合很重要，因为模型和相应的参数值的性质决定了维护的有效性，我们也考虑了这一点。可以确定一种成本最小化的修复政策，提供预防性修复的成本小于矫正修复的成本，可修复部分是老化。如果其余的是老化，那么政策需要适应它的年龄。

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