【摘要】：對(duì)維修策略的研究是可靠性理論中的一個(gè)重要課題,在解決實(shí)際工程問題中應(yīng)用廣泛,并且對(duì)最優(yōu)更換策略的研究也有重要的實(shí)際意義。在過去,都假設(shè)對(duì)可修系統(tǒng)的維修是"修復(fù)如新"的即完美維修,但事實(shí)上,系統(tǒng)失效后的維修卻是"修復(fù)非新"的。本文基于現(xiàn)有的研究成果,對(duì)最優(yōu)更換策略進(jìn)行了更深入的探討以及推廣。引入α-冪過程來模擬部件的運(yùn)作,利用更新過程,在更換策略N下,得出系統(tǒng)的目標(biāo)函數(shù),并通過分析與數(shù)值模擬,驗(yàn)證了最優(yōu)更換策略的存在性及其唯一性。本文主要工作如下:(1)研究了泊松沖擊下由單部件組成的可修系統(tǒng)。系統(tǒng)失效后的修理不能"修復(fù)如新",假設(shè)系統(tǒng)失效是因?yàn)闆_擊(外部)和內(nèi)因(衰退),沖擊的達(dá)到是服從泊松過程。采用極值沖擊模型,利用α-冪過程來模擬系統(tǒng)的內(nèi)部壽命和修理過程,利用更新報(bào)酬定理得出系統(tǒng)經(jīng)長期運(yùn)行單位時(shí)間內(nèi)的平均損失表達(dá)式,并求出最優(yōu)更換策略N*,驗(yàn)證了其存在性與唯一性。最后對(duì)該模型做了數(shù)值模擬。(2)在第二章沖擊模型的基礎(chǔ)上,考慮到系統(tǒng)受到?jīng)_擊引起的失效可能有多種情形,于是將系統(tǒng)受到?jīng)_擊引起的失效狀態(tài)擴(kuò)展為兩種。并且假設(shè)系統(tǒng)伴有延遲修理的特點(diǎn),采用廣義維修策略N與極值沖擊模型,在α-冪過程和更新過程理論下,得出系統(tǒng)經(jīng)長期運(yùn)行單位時(shí)間內(nèi)的平均損失的表達(dá)式。最后給該模型做了數(shù)值模擬。(3)基于停機(jī)時(shí)間,討論了帶有延遲修理的冷貯備系統(tǒng)的優(yōu)化模型。系統(tǒng)由兩個(gè)不同型部件及一個(gè)修理工組成,且假設(shè)失效部件不能夠被"修復(fù)如新"。采用二維更換策略(N_1,N_2),在α-冪過程下,得出系統(tǒng)經(jīng)長期運(yùn)行單位時(shí)間內(nèi)的平均損失及平均停機(jī)時(shí)間,并建立了一個(gè)權(quán)衡優(yōu)化模型,該模型是以期望損失率為約束條件,以所求得的平均停機(jī)時(shí)間為目標(biāo)函數(shù)。最后對(duì)該模型做了數(shù)值模擬。
[Abstract]:The research of maintenance strategy is an important subject in reliability theory. It is widely used in solving practical engineering problems, and the study of optimal replacement strategy is also of great practical significance. In the past, it was assumed that the repair of the repairable system was "repaired as new", that is, the perfect repair, but in fact, the maintenance after the failure of the system was "repaired not new". Based on the existing research results, the optimal replacement strategy is further discussed and extended in this paper. The 偽 -power process is introduced to simulate the operation of the components. The objective function of the system is obtained under the replacement strategy N by using the renewal process. The existence and uniqueness of the optimal replacement strategy are verified by analysis and numerical simulation. The main work of this paper is as follows: (1) A repairable system with a single component under Poisson impact is studied. The repair of the system after failure cannot be "repaired as new", assuming that the failure of the system is due to shock (external) and internal cause (decline), and that the impact is achieved through the Poisson process. By using the extreme impact model, the internal life and repair process of the system are simulated by 偽 -power process, and the expression of the average loss per unit time of the system over a long period of time is obtained by using the renewal reward theorem, and the optimal replacement strategy is obtained. Its existence and uniqueness are verified. Finally, the numerical simulation of the model is given. (2) based on the impact model in chapter 2, considering that there may be many kinds of failure caused by impact, the failure state caused by impact is extended to two kinds. Based on the generalized maintenance strategy N and the extreme impact model, under the theory of 偽 -power process and renewal process, the expression of the average loss per unit time of the system over a long period of time is obtained. Finally, the numerical simulation of the model is given. (3) based on the downtime, the optimization model of cold standby system with delay repair is discussed. The system consists of two different components and a repairman, assuming that the failed parts cannot be "repaired as new". In the process of 偽 -power, the average loss and average downtime of the system over a long period of time are obtained by using the two dimensional replacement strategy (N1s / N2s), and a tradeoff optimization model is established. The model takes the expected loss rate as the constraint condition and the average downtime obtained as the objective function. Finally, the model is simulated numerically.
【學(xué)位授予單位】：南京農(nóng)業(yè)大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2015
【分類號(hào)】：O213.2

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