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 本論文針對一個受故障率交互作用影響下之雙元件系統，提出兩個置換模式。研究採用假設描述如下：此系統會受到元件間故障率交互作用及本身退化性質的影響，其中，元件間故障率交互作用即表示每一次元件1發生故障，都會帶給元件2的故障率一些量的增加，而每一次元件2故障的發生將會引起元件1一起故障，也就是使雙元件系統完全故障。若無故障率交互作用的影響，兩個元件的故障率仍隨著他本身的老化過程而逐漸遞增。每一次元件1故障皆屬輕微，我們假設可用小修理予以修復。（一）週期型置換模式：此模式所設定的置換策略，為系統在完全故障發生時或每隔時間T，予以置換一個全新的系統。（二）離散型置換模式：此模式所設定的置換策略為系統在完全故障發生時或第n次元件1故障發生時，予以置換一個全新的系統。上述兩個模式都是以長期單位平均成本為最小化的目標下，來求得最佳置換週期 及最佳小修理次數 ，並探討最佳解存在時的條件，最後再以數值實例驗證。
 In this study, two economic replacement models are presented for a two-unit system which is subject to failure rate interaction and ageing process. Failure rate interaction is described as follows. When unit 1 fails itself, it causes a certain amount of damage to unit 2 by increasing the failure rate of unit 2 of a certain degree, while each unit 2 failure makes unit 1 failure, i.e. each unit 2 failure make the system total failure. Without failure rate interaction between units, the failure rates of two units also increase with age by ageing process. All unit 1 failures are assumed to be corrected by minimal repair.In the Periodical Replacement model: The two-unit system is replaced by a new one at age T or on total failure, whichever occurs first.In the Dicrete Replacement model: The two-unit system is replaced by a new one at the instant of the n-th unit 1 failure or on total failure of the system, whichever occurs first.Introducing relative costs, the long-run expected costs per unit time are derived as a criterion of optimality in two models. The optimal replacement period and the optimal number will be found by minimizing that costs. And, the optimal and are also verified finite and unique under certain conditions. Numerical examples are given to illustrate the models
 摘要……………………………………………………………………………………. ivAbstract…………………………………………………………………………………. v誌謝……………………………………………………………………………………..vi目錄……………………………………………………………………………………. vii表目錄…………………………………………………………………………………. x圖目錄…………………………………………………………………………………. xi第一章 緒論 11.1研究背景與動機 11.2研究目的..................................................................................................................21.3研究範圍 21.4研究流程 3第二章 文獻探討……………………………………………………………………….52.1設備維護策略 52.1.1維護之定義…………………………………………………………………..52.1.2維護的類型…………………………………………………………………..62.1.3維護置換策略………………………………………………………………..82.2故障交互作用 142.3可靠度理論 162.3.1故障機率密度函數 162.3.2故障累積分佈函數 172.3.3可靠度函數 172.3.4故障率函數 .182.3.5浴缸曲線 .202.3.6維護度理論…………………………………………………………………212.3.7可用度理論…………………………………………………………………222.3.8可用度和可靠度與維護度之關係…………………………………………232.4可靠度之實務趨勢 24第三章 週期型置換模式 …303.1符號定義 303.2模式建立 .323.2.1模式描述……………………………………………………………………323.2.2長期單位平均成本及最佳置換週期 ..………………………………….343.3數值範例分析…………………………………………………………………...37第四章 離散型置換模式…………………………………………………………….414.1符號定義 414.2模式建立 434.2.1模式描述……………………………………………………………………434.2.2長期平均單位成本及最佳小修理次數 …………………………………454.3數值範例分析 50第五章 結論與未來研究方向 535.1結論 535.2未來研究方向 54參考文獻 55
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 1 廣義預防維修置換策略 2 類神經網路導入裝備計畫性維修之研究 3 多組件系統之機會性置換策略 4 受外在衝擊影響之兩個週期性置換模式 5 不同失效模式下結合累積維修成本概念之週期性置換策略 6 雙元件系統受衝擊與故障率交互作用雙重影響下的置換策略 7 受故障率交互作用與外在衝擊雙重影響下之雙元件系統的替換模式

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