隨著人口上升，需求不斷增加，機台設備需長時間不停的運作，停機成本也逐漸增加，因此如何以最低的損失進行有效的維修保養變得越來越重要。以可靠性為中心的維修(Reliability-Centered Maintenance, RCM)意旨針對機台設備的失效模式在一定的可靠度限制下找出最小的維修成本，機台設備受到的失效模式可分為兩種，因機台設備本身使用造成的退化為軟失效，以及受到外部衝擊造成的硬失效，並且軟失效和硬失效可能會互相影響，意即機台設備受到外部衝擊會加速使用的退化程度，並且外部衝擊隨著次數的增加也會更加容易故障。在考慮不同工作站、機台設備的系統下，一旦任一機台設備退化程度超過預定的閥值時，不完美維修和完美維修的維修保養動作將被執行。為了找出最佳維修保養策略的閥值，建立了一個新的啟發式演算法，此方法以Imperialist Competitive Algorithm (ICA)為基礎，結合Jaya Algorithm以及適應性懲罰函數進行求解，並透過實證分析證實本研究提出的模型和演算法能夠以最少的計算資源獲得最佳的維修保養策略。

As the population rises and demand continues to increase, machine needs to be in constant operation for a long time cause downtime costs is gradually increasing. How to implement effective maintenance with minimum losses is more and more important. Reliability-Centered Maintenance (RCM) means against the failure mode of the machine to find out the minimum maintenance cost under a certain reliability limit. The failure mode of the machine can be distinguished into two types: soft failure caused by the use of machine itself and hard failure caused by external shock. The soft failure and hard failure may affect each other, meaning that the degradation of machine will be accelerated by external shock. Moreover, external impacts are more likely to cause malfunctions as the number of occurrences increases. Considering the different workstations and machines in a system, once the degradation of any machine exceeds the predetermined threshold, maintenance actions for imperfect and perfect will be performed. In order to find the threshold of the optimal maintenance strategy, a new heuristic algorithm is developed for solving the problem. This algorithm is based on Imperialist Competitive Algorithm, combined with Jaya Algorithm and adaptive penalty function. Empirical analysis shows that the proposed model and the algorithm can achieve optimal maintenance strategies with minimal computational resources.

目錄
摘要 I
Abstract II
目錄 III
圖目錄 V
表目錄 VI
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論文架構 3
第二章　文獻回顧 6
2.1維修保養背景和影響因子 6
2.2維修保養的最佳化求解方法 12
第三章　數學模型 16
3.1 符號定義 16
3.2 問題定義 18
3.2.1 機台的硬失效退化程度 19
3.2.2 機台的軟失效退化程度 21
3.2.3 維修保養策略 22
3.2.4 維修保養程度 24
3.2.5 維修保養之假設 24
3.3 維修保養數學模型 25
第四章　求解方法 27
4.1 可靠度衡量 28
4.1.1 單一機台可靠度衡量 28
4.1.2 系統可靠度衡量 28
4.2帝國競爭演算法 31
4.3 Jaya演算法 34
4.4 適應性懲罰函數 36
4.5 本研究提出之演算法 37
第五章　實證分析 41
5.1 案例研究 41
5.1.1 簡單系統案例研究 41
5.1.2 複雜系統案例研究 48
5.2 敏感度分析 54
第六章　結論與未來展望 58
參考文獻 59

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