多状态系统分析的新途径

本文将二值逻辑代数推广为多值逻辑代数,并提出了一种新的基于多值逻辑代数理论的多状态系统的分析方法。二状态情况下的串联和并联结构函数被推广到多状态情况;二状态分析中使用的故障树被推广为状态树。使用本文中所定义的多值逻辑代数能够很方便的处理其基本结构形式为串联和并联的多状态系统。作为本文提出的多值逻辑代数和分析方法的应用,文中最后简略分析了两种多状态系统;(1)由具有两类失效模式的元件组成的多状态系统;(2)考虑元件的性能水平和系统的性能水平的一种多状态系统。给出了计算这两种多状系统取某一状态概率的计算方法。

NEW APPROACH FOR MULTISTATE SYSTEM ANALYSIS

The binary algebra is extened to multiple-valued algebra, based on which a new approach to multistate system analysis is proposed. Seri- es and paraller atructure functions in binary case are extened to mu- ltistate case. Insead of fault tree, State Tree are suggested to be the graphical representation of a multistate system. With the multi- plevalued algebra developed in this paper, the multistate system of which the basic structure forms are series and parallel can be dealt with conveniently. As applications of the algebra and methodology, two multistate systems are analyzed. (1) A multistate system which is composed of components which have two types of failure modes: (2) A special multistate system which can be in a range of performe- nce levels. A method for calculating the system state probability is presented.