本文選題：剩余壽命　切入點(diǎn)：休止時(shí)間　出處：《蘭州交通大學(xué)》2017年碩士論文　論文類(lèi)型：學(xué)位論文

【摘要】：n中取k系統(tǒng)是一類(lèi)非常重要的冗余系統(tǒng),發(fā)展到現(xiàn)在已經(jīng)在許多領(lǐng)域得到了廣泛的應(yīng)用.在現(xiàn)實(shí)生活中,一個(gè)系統(tǒng)中的元件具體到底是什么時(shí)候失效的,我們經(jīng)常是不知道的,我們唯一可以確定的信息也許只有失效元件的總個(gè)數(shù),所以一些學(xué)者開(kāi)始關(guān)注系統(tǒng)的一般剩余壽命.當(dāng)系統(tǒng)中元件的準(zhǔn)確失效時(shí)間未知時(shí),我們還可以把這個(gè)系統(tǒng)看作一個(gè)黑匣子.而休止時(shí)間表示從系統(tǒng)失效到觀測(cè)這段時(shí)間,可用于尸體檢驗(yàn)中.它還可以幫助可靠性工程師在合適的時(shí)間維修或者更換系統(tǒng)中的某些元件.在可靠性理論中,剩余壽命和休止時(shí)間都扮演著非常重要的角色.而對(duì)我們不確定的某些現(xiàn)象之間的比較經(jīng)常用到隨機(jī)比較理論.首先建立了n中取(n-k+1)系統(tǒng)的剩余壽命與休止時(shí)間模型,且組成這個(gè)系統(tǒng)的n個(gè)元件是獨(dú)立同分布的.再利用條件概率公式給出該系統(tǒng)剩余壽命和休止時(shí)間的生存函數(shù),通過(guò)對(duì)隨機(jī)序知識(shí)的應(yīng)用給出有關(guān)剩余壽命的幾個(gè)隨機(jī)比較,并得到系統(tǒng)的平均剩余壽命和平均休止時(shí)間.接著,我們考慮了n中取(n-q+1)系統(tǒng)(系統(tǒng)中的元件服從獨(dú)立不同分布)一類(lèi)新的休止時(shí)間,借助permanent得到該休止時(shí)間可靠度函數(shù)的混合表達(dá)式,并利用基本對(duì)稱(chēng)函數(shù)得到關(guān)于休止時(shí)間的幾個(gè)定理.最后,我們給出了由n個(gè)相互獨(dú)立元件構(gòu)成的n中取k系統(tǒng)的剩余壽命與休止時(shí)間,分別在獨(dú)立同分布和獨(dú)立不同分布兩種情況下對(duì)它們進(jìn)行了討論,得到其平均剩余壽命和平均休止時(shí)間,并給出剩余壽命的幾個(gè)隨機(jī)比較,當(dāng)系統(tǒng)服從指數(shù)分布這種特殊分布時(shí),對(duì)所得結(jié)論進(jìn)行闡釋.
[Abstract]:The k-in-n system is a very important redundant system, which has been widely used in many fields. We often don't know that the only information we can be sure of is probably only the total number of failure elements, so some scholars are beginning to focus on the general residual life of the system, when the exact failure time of the components in the system is unknown. We can also think of the system as a black box, and the interminable time means the time between the failure of the system and the period of observation. It can also help reliability engineers repair or replace certain components of the system at the right time. In reliability theory, The residual life and rest time play a very important role, and the random comparison theory is often used to compare some phenomena that we are not sure about. Firstly, the model of residual life and rest time of n-k 1) system in n is established. Moreover, n components of the system are independently distributed, and the survival functions of the residual life and rest time of the system are given by using the conditional probability formula, and several random comparisons about the residual life are given through the application of random order knowledge. The average residual life and mean rest time of the system are obtained. Then, we consider a new class of repose time of the system (the components in the system are distributed independently). By means of permanent, the mixed expression of the repose time reliability function is obtained, and some theorems about the rest time are obtained by using the basic symmetric function. In this paper, we give the residual life and rest time of k system in n, which is composed of n independent elements, and discuss them under the condition of independent same distribution and independent different distribution, respectively. The average residual life and the mean rest time are obtained, and several random comparisons of the residual life are given. When the system is distributed from the exponential distribution, the conclusion is explained.
【學(xué)位授予單位】：蘭州交通大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類(lèi)號(hào)】：O213.2

【參考文獻(xiàn)】

相關(guān)期刊論文 前6條

1 顏榮芳;王康周;;NBU(2)與NBUC壽命分布的一些性質(zhì)[J];西北師范大學(xué)學(xué)報(bào)(自然科學(xué)版);2008年03期

2 張正成;楊永紅;;區(qū)間數(shù)據(jù)觀測(cè)下k-out-of-n系統(tǒng)剩余壽命的一些年齡性質(zhì)[J];西北師范大學(xué)學(xué)報(bào)(自然科學(xué)版);2007年04期

3 王豐效;;獨(dú)立元件組成的n中取k系統(tǒng)剩余壽命的年齡性質(zhì)[J];純粹數(shù)學(xué)與應(yīng)用數(shù)學(xué);2007年02期

4 張力遠(yuǎn);NBUC元件關(guān)于并聯(lián)系統(tǒng)的封閉性[J];西北師范大學(xué)學(xué)報(bào)(自然科學(xué)版);1999年03期

5 葛廣平;關(guān)于n中取連續(xù)k系統(tǒng)[J];數(shù)學(xué)進(jìn)展;1993年04期

6 閻春寧;史■華;;n中取連續(xù)K系統(tǒng)[J];自動(dòng)化學(xué)報(bào);1988年04期

相關(guān)碩士學(xué)位論文 前1條

1 徐茂超;休止時(shí)間在可靠性和拍賣(mài)理論中的應(yīng)用[D];蘭州大學(xué);2006年

，

本文編號(hào)：1603975