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Reliability of sliding window systems with two failure modes

机译：具有两个故障模式的滑动窗系统的可靠性

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摘要

This research innovatively proposes a new two failure criteria sliding window system. In this system, there exist x linearly ordered multi-state elements and each element has different performance rates ranging from complete failure to perfect functioning. The system fails if either the total number of failed groups of r consecutive elements reaches k or the gap between any two adjacent failed groups of r consecutive elements is less than m working groups. To evaluate the reliability of the proposed system, we extend the universal moment generating function technique and suggest a corresponding algorithm. The reliability importance of the proposed system is also analyzed. Furthermore, we use the genetic algorithm to determine the optimal element allocation and demonstrate how the element allocation affects the system reliability. Both analytical and numerical examples are presented to illustrate the model and the algorithm.
机译：这项研究创新了一个新的两个故障标准滑动窗系统。在该系统中，存在X线性有序的多状态元素，每个元素具有不同的性能率，从完全失败到完全运行。如果R连续元素的失败组的总数达到k或r连续元素的任何两个相邻失败组之间的间隙，则系统失败了。为了评估所提出的系统的可靠性，我们扩展了通用矩生成功能技术并提出了相应的算法。还分析了所提出的系统的可靠性重要性。此外，我们使用遗传算法来确定最佳元素分配，并演示元素分配如何影响系统可靠性。提出了分析和数值例子来说明模型和算法。

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