本文關(guān)鍵詞： 關(guān)聯(lián)系統(tǒng) n中取k 冗余分配 元件水平 系統(tǒng)水平 組裝系統(tǒng) Signature IFR　出處：《華北理工大學》2015年碩士論文　論文類型：學位論文

【摘要】：論文基于n中取k系統(tǒng)研究了元件水平和系統(tǒng)水平上冗余元件的分配問題以及關(guān)聯(lián)系統(tǒng)signature的IFR性質(zhì)在n中取k系統(tǒng)下封閉性問題。首先,論文介紹了n中取k系統(tǒng)的熱分配和signature的基本理論和研究現(xiàn)狀。其次,探討了基于n中取k系統(tǒng)的冗余分配問題。眾所周知,元件水平上的冗余分配比系統(tǒng)水平上的冗余分配更有效。通過分析這一準則的構(gòu)造原理,提出在元件水平和系統(tǒng)水平上組裝系統(tǒng)的概念,并基于n中取k系統(tǒng)研究了這兩種組裝方式的優(yōu)劣性。在元件完全匹配的情形下,基于似然比序證明了元件水平下的組裝系統(tǒng)優(yōu)于系統(tǒng)水平下的組裝系統(tǒng),從而填補了基于結(jié)構(gòu)函數(shù)無法比較兩種組裝系統(tǒng)的空白。在元件部分匹配的方式下,分別基于失效率和反失效率隨機比較了元件水平和系統(tǒng)水平下的組裝系統(tǒng)。最后,主要研究了signature基于n中取k系統(tǒng)的封閉性。signature是度量關(guān)聯(lián)系統(tǒng)結(jié)構(gòu)非常有效的方法之一。針對復(fù)雜系統(tǒng)的signature在計算方面的繁瑣問題,論文提出一種新的研究思路:通過研究關(guān)聯(lián)系統(tǒng)signature的年齡性質(zhì)以便認識其形狀從而為推斷關(guān)聯(lián)系統(tǒng)的結(jié)構(gòu)提供有效信息。本研究利用模分解的思路從三個方面對signature在n中取k結(jié)構(gòu)下IFR封閉性展開研究:1)關(guān)聯(lián)系統(tǒng)與單個元件串聯(lián)下封閉性;2)多個關(guān)聯(lián)系統(tǒng)串聯(lián)下的封閉性;3)多個關(guān)聯(lián)系統(tǒng)在n中取k結(jié)構(gòu)下的封閉性。對于系統(tǒng)1)證明了signature的IFR性是封閉的,即關(guān)聯(lián)系統(tǒng)的signature的IFR性將遺傳給串聯(lián)后的關(guān)聯(lián)系統(tǒng);對于系統(tǒng)2)利用C#提出一個驗證signature的IFR封閉性的算法,并給出大量的數(shù)據(jù)模擬結(jié)果;對于系統(tǒng)3)通過一個反例詮釋了signature的IFR性在并聯(lián)結(jié)構(gòu)下并不封閉。
[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.
【學位授予單位】：華北理工大學
【學位級別】：碩士
【學位授予年份】：2015
【分類號】：O211.5

【參考文獻】

相關(guān)博士學位論文 前1條

1 丁繼勇;n中取k系統(tǒng)的冗余分配與隨機比較[D];蘭州大學;2012年

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本文編號：1474870