臺灣博碩士論文加值系統

隨著科技蓬勃發展，不論是生活中或工程應用中的設備設計皆複雜且精密，但在結構上大致相同，皆由主要零件、功能性零件及僅有輔助作用的輔助型零件所組成。一般來說，主零件及功能性零件間具有相互作用關係，當其中一項失效時，系統便會停止運作。但主零件及輔助型零件之間為另一種情形，當輔助零件失效時，系統雖不會停止運作，卻會單向增加主零件失效的機率，本論文以單向失效相依效應表示。傳統上對於設備零件的失效狀況大多考量零件之間為獨立或相互作用下去研究，並未考量到單向失效相依的情況。故本論文在考量主零件會受輔助零件失效的單向影響下，建構系統零件的期望總成本率模式。模式中，零件每次失效皆以小修進行處理，小修後零件的失效率會回到失效前的狀態。但是零件的失效次數會隨零件退化而愈加頻繁，因此，為減少頻繁失效帶來的小修成本，系統零件會進行置換的動作，在不同的時間置換會帶來不同的置換成本。故本論文在探討單向失效相依效應下系統零件的最佳置換策略與最佳置換時程，使得零件的期望總成本率為最低，並以數值範例分析置換成本對期望成本率之影響。

With the rapid development of technology, the design of equipment in both life and engineering applications becomes more complex and precise, but the structures are similar. Consisting of main component, functional component and auxiliary component. In general, there is an interaction between the main component and the functional component. When one of them fails, the system stops working. However, there is another situation between the main component and the auxiliary component. When the auxiliary component fails, the system will not stop working, but it will increase the probability of the failure of the main component. Traditionally, the failures of components have been considered as independent or interactive, but no one-way failure interaction has been considered. Therefore, this paper constructs the expected total cost rate model of two-components system, which the main component is one-way influenced by the auxiliary component. In this model, each failure of the component is recovered by minimal repairs. But the number of failures will increase more frequently. Therefore, in order to reduce the excessive repair cost, will be performed to bring the component back to the initial condition. This paper investigates the optimal replacement strategy for the system with two components, so that the expected total cost is the minimized, and same numerical examples are used to analyze the impact of replacement cost on the expected total cost rate.

摘要 I
ABSTRACT II
誌謝 III
目錄 IV
圖目錄 VI
表目錄 VIII
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 研究架構 2
第二章 文獻探討 4
2.1 維修策略 4
2.2 置換策略 6
2.3 失效相依效應 7
第三章 數學模型 9
3.1 系統描述 9
3.2 不具失效相依效應下成本模式 15
3.3 單向失效相依效應下成本模式 19
3.4 副零件壽命為指數分配之成本模式 23
3.5 主零件壽命為韋伯分配之成本模式 24
第四章 最佳置換時程 34
4.1 不具失效相依效應下最佳置換時程 34
4.2 單向失效相依效應下最佳置換時程 37
4.3 副零件壽命為指數分配下最佳置換時程 40
4.4 主零件壽命為韋伯分配下最佳置換時程 41
第五章 數值分析 53
5.1 參數設定 53
5.2 零件在不具有失效相依效應下最佳置換時程 54
5.3 零件在具有單向失效相依效應下最佳置換時程 60
5.4 敏感度分析 66
第五章 結論與未來研究方向 71
6.1 結論 71
6.2 未來研究方向 72
參考文獻 73

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