一般并联系统Posbist模糊不可靠性分析

摘要

Both reliability and unreliability are regarded as significant yardsticks to measure performance of the system. Considering unreliability may be more easily calculated sometimes, the index of unreliability of system is discussed. Coupled with the fact that unreliability of the parallel system is much easier to be computed on the basis of the Posbist reliability, the present study will only be concerned with unreliability. Based on the basic theory of Pos-bist fuzzy reliability, the fuzzy unreliability of parallel system are investigated with independent and non-repairable components. A relation between the independence of fuzzy variables and the independence of events is firstly presented and proved. On this basis, a deeper study on the unreliability of general parallel systems has been conducted. The paper has also presented and proved the displayed relational expressions between the unreliability of the system and the unreliability of components, the unreliability of the system and the membership functions of components, as well as the displayed relational expression between the membership function of system and the membership functions of components.%可靠度与不可靠度均是衡量系统性能的重要指标,但是有的时候由于研究系统的不可靠性得到的结果更加优越并且形式简练,这时就会考虑系统的不可靠性.由于在Posbist模糊可靠性理论基础之下研究一般并联系统的模糊不可靠性得到的结果更优越,因此主要研究了一般并联系统的模糊不可靠性.基于Posbist模糊可靠性的基本理论,证明了模糊变量与模糊事件的关系,定义了部件(或系统)的模糊不可靠度,给出并证明了部件为不可修复且部件间相互独立的情形下一般并联系统的不可靠度与部件不可靠度、与部件隶属函数之间的关系式以及系统隶属函数与部件隶属函数的关系式.有了这些明确的理论基础,就可以利用计算机技术对相对复杂的串并联等系统的性能进行研究.