摘要
针对n中取k系统可靠性分析采用枚举法全部列出满足系统正常和失效时单元状态的组合比较繁琐的情形,基于n中取k系统的结构函数给出了对应该系统正常和失效时全面而间接地列举单元状态交运算的逐步补元法。运用条件概率和并集事件的概率展开公式建立了k/n(G)表决系统可靠性分析的通用模型,并给出了具体的计算步骤。讨论了由于参数k与n的接见程度不同,而引起的可靠性分析工作量的变化。最后,算例表明了k/n(G)表决系统的可靠度与参数n,k,组成该系统的单元可靠度,以及单元相同状态交运算的概率计算所选用模型或算法等有关。
In view of the fact that it is very complicated to enumerate all the corresponding combinations of unit state in reliability analysis when the K-out-of-n system is safe or faulty, and based on the structural function of the system, a gradual unit-supplementing method is proposed to completely and indirectly list all the corresponding intersection operation of unit sate when the system is safe or faulty. Using the expansion formula of conditional probability and combined event probability, a general model of safety analysis for k/n(G) voting system is established and specific operating steps are suggested. A discussion is made of the variation of workload of safety analysis, caused by the variable degree of adjacency of the parameters k and n. Finally, an instance of operation shows that the reliability of the k/n(G) voting system is relevant to the reliability of k and n, the units of the system, and the model or algorithm used to calculate the probability of the intersection operation on homology state of unit by sample.
出处
《石油工业技术监督》
2005年第3期31-33,共3页
Technology Supervision in Petroleum Industry
基金
国家自然科学基金项目(50278083)
教育部优秀青年教师资助计划项目
国家重点实验室开放基金项目(PLN0113)
四川省应用基础研究专项基金项目(01GY051-40)
四川省教育厅自然科学重点项目
