Abstract

Systems in engineering usually not only have multiple states but also may be required to fulfill several functions, meaning the system has multiple performance variables in a specific state. In a multi-performance multi-state weighted K⁻-out-of-n system, the system consists of several multi-performance multi-state components for completing its different functions. As this system is more complicated than the general weighted k-out-of-n system, reliability evaluation of the system is time-consuming. A recursive approach is developed to evaluate the system reliability more efficiently, and comparison with the existing approach is carried out in various aspects. It is found the developed method is generally more efficient. To further understand the dynamic behavior of the multi-performance multi-state weighted K⁻-out-of-n system, two measures: capacity loss and residual capacity are introduced to investigate the system capacity evaluation over time. A method is provided for the computation of mean capacity loss and mean residual capacity of the system. A numerical example is presented to demonstrate the proposed method. The result shows the two measures can give an idea of how much capacity is lost and how much capacity is available, and provide effective information for system maintenance and optimization.

摘要

工程中的系统通常不仅具有多种状态，而且可能需要完成多种功能，这意味着系统在特定状态下具有多个性能变量。在多性能多状态加权K ^- out-of- n系统中，系统由几个多性能多状态组件组成，用于完成其不同的功能。因为这个系统比一般的加权k -out-of- n更复杂系统的可靠性评估是耗时的。为了更有效地评估系统可靠性，开发了一种递归方法，并在各个方面与现有方法进行了比较。发现开发的方法通常更有效。进一步了解多性能多状态加权K ^- -out-of- n的动态行为系统，引入容量损失和剩余容量两个度量来研究随时间变化的系统容量评估。提供了一种计算系统平均容量损失和平均剩余容量的方法。给出了一个数值例子来演示所提出的方法。结果表明，这两项措施可以了解损失了多少容量以及可用的容量，并为系统维护和优化提供了有效的信息。