基于n中取k系统的热分配和Signature研究

发布时间：2018-01-30 01:08

本文关键词： 关联系统 n中取k 冗余分配元件水平系统水平组装系统 Signature IFR　出处：《华北理工大学》2015年硕士论文　论文类型：学位论文

【摘要】：论文基于n中取k系统研究了元件水平和系统水平上冗余元件的分配问题以及关联系统signature的IFR性质在n中取k系统下封闭性问题。首先,论文介绍了n中取k系统的热分配和signature的基本理论和研究现状。其次,探讨了基于n中取k系统的冗余分配问题。众所周知,元件水平上的冗余分配比系统水平上的冗余分配更有效。通过分析这一准则的构造原理,提出在元件水平和系统水平上组装系统的概念,并基于n中取k系统研究了这两种组装方式的优劣性。在元件完全匹配的情形下,基于似然比序证明了元件水平下的组装系统优于系统水平下的组装系统,从而填补了基于结构函数无法比较两种组装系统的空白。在元件部分匹配的方式下,分别基于失效率和反失效率随机比较了元件水平和系统水平下的组装系统。最后,主要研究了signature基于n中取k系统的封闭性。signature是度量关联系统结构非常有效的方法之一。针对复杂系统的signature在计算方面的繁琐问题,论文提出一种新的研究思路:通过研究关联系统signature的年龄性质以便认识其形状从而为推断关联系统的结构提供有效信息。本研究利用模分解的思路从三个方面对signature在n中取k结构下IFR封闭性展开研究:1)关联系统与单个元件串联下封闭性;2)多个关联系统串联下的封闭性;3)多个关联系统在n中取k结构下的封闭性。对于系统1)证明了signature的IFR性是封闭的,即关联系统的signature的IFR性将遗传给串联后的关联系统;对于系统2)利用C#提出一个验证signature的IFR封闭性的算法,并给出大量的数据模拟结果;对于系统3)通过一个反例诠释了signature的IFR性在并联结构下并不封闭。
[Abstract]:In this paper, we study the assignment of redundant components at the level of components and the system level based on the k-in-n system, and the closure problem of the IFR property of the correlated system signature under the k-in-n system. This paper introduces the basic theory and research status of the thermal distribution and signature of the k-in-n system. Secondly, the redundant assignment problem based on the k-in-n system is discussed, which is well known. The redundancy allocation at the component level is more effective than the redundancy allocation at the system level. By analyzing the construction principle of this criterion, the concept of assembling the system at the component level and the system level is put forward. The advantages and disadvantages of the two assembly methods are studied based on the k-in-n system. When the components are perfectly matched, it is proved that the assembly system at the component level is superior to the assembly system at the system level based on the likelihood comparison order. Thus filling the gap based on structural function can not be compared between the two kinds of assembly system. In the way of component partial matching. Based on the failure rate and the inverse failure rate, the assembly system at the component level and the system level are compared randomly. Finally. This paper mainly studies the closeness. Signature of signature system based on n. Signature is one of the most effective methods to measure the structure of associative system. Signatur for complex system. E cumbersome in terms of calculation. This paper puts forward a new research idea:. By studying the age properties of signature in order to understand its shape, this study provides effective information for inferring the structure of the associated system. This study uses the idea of mode decomposition to analyze signa from three aspects. The IFR closure of ture under k structure in n is studied. 1). The closeness of the correlation system in series with a single element; 2) the closure of multiple interconnected systems in series; 3) the closure of several correlated systems under k structure in n. For system 1, it is proved that the IFR property of signature is closed. That is, the IFR property of the signature of the correlation system will be inherited to the connected system after the series. For system 2, an algorithm to verify the IFR closure of signature is proposed by using C #, and a lot of data simulation results are given. For system 3, a counterexample is given to explain that the IFR property of signature is not closed in parallel.
【学位授予单位】：华北理工大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：O211.5

【参考文献】