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研究生:高聖德
研究生(外文):Kao Sheng Te
論文名稱:受故障率交互作用影響下之雙元件系統的置換模式
論文名稱(外文):Ecomnomical replacement models for a two-unit system subject to failure rate interaction
指導教授:賴明材賴明材引用關係
學位類別:碩士
校院名稱:南台科技大學
系所名稱:高階主管企管碩士班
學門:商業及管理學門
學類:其他商業及管理學類
論文種類:學術論文
論文出版年:2005
畢業學年度:93
語文別:中文
中文關鍵詞:故障率交互作用離散型置換模式週期型置換模式小修理
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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……………………………………………………………………………………. iv
Abstract…………………………………………………………………………………. v
誌謝……………………………………………………………………………………..vi
目錄……………………………………………………………………………………. vii
表目錄…………………………………………………………………………………. x
圖目錄…………………………………………………………………………………. xi
第一章 緒論 1
1.1研究背景與動機 1
1.2研究目的..................................................................................................................2
1.3研究範圍 2
1.4研究流程 3
第二章 文獻探討……………………………………………………………………….5
2.1設備維護策略 5
2.1.1維護之定義…………………………………………………………………..5
2.1.2維護的類型…………………………………………………………………..6
2.1.3維護置換策略………………………………………………………………..8
2.2故障交互作用 14
2.3可靠度理論 16
2.3.1故障機率密度函數 16
2.3.2故障累積分佈函數 17
2.3.3可靠度函數 17
2.3.4故障率函數 .18
2.3.5浴缸曲線 .20
2.3.6維護度理論…………………………………………………………………21
2.3.7可用度理論…………………………………………………………………22
2.3.8可用度和可靠度與維護度之關係…………………………………………23
2.4可靠度之實務趨勢 24
第三章 週期型置換模式 …30
3.1符號定義 30
3.2模式建立 .32
3.2.1模式描述……………………………………………………………………32
3.2.2長期單位平均成本及最佳置換週期 ..………………………………….34
3.3數值範例分析…………………………………………………………………...37
第四章 離散型置換模式…………………………………………………………….41
4.1符號定義 41
4.2模式建立 43
4.2.1模式描述……………………………………………………………………43
4.2.2長期平均單位成本及最佳小修理次數 …………………………………45
4.3數值範例分析 50
第五章 結論與未來研究方向 53
5.1結論 53
5.2未來研究方向 54
參考文獻 55
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張廷玉,受外在衝擊影響之兩個週期性置換模式,南台科技大工業管理研究所碩士學位論文,2004年。
柯輝耀,可靠度保證 工程與管理技術之應用-第二版,中華民國品質學會發行,2003年。
陳書豪,類神經網路導入裝備計畫性維護之研究,國防大學中正理工學院碩士學位論文,2004年。
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