本論文探討兩相同組件平行備用系統之最佳保養區間，所謂兩相同組件平行備用系統是指有兩相同組件依並聯配置，當一組件在操作的時候，另一組件處於熱備用的狀態，當操作的組件故障時，備用的組件即可繼續系統的操作，如此可降低系統的當機頻率進而降低當機的成本，而故障的組件採用小修的策略，組件故障時將其修理至失效前的狀態。一般而言，系統會隨時間而不斷的退化，因此必須定期做保養或置換以保持系統良好的狀態，將系統回復到像新的一樣，進而有效的降低每個組件的失效率，所以我們加入了保養的概念，因為適當採用預防保養可以以較少的時間和成本使系統得到較大的效益，保養區間愈長，所造成組件故障的頻率及系統當機頻率會增加，所需的小修成本及當機所損失的成本就會增加，而保養區間愈短，所需的保養成本就會增加，所以保養區間的長短，將影響系統的總成本。因此，本論文將探討最佳的保養區間使得期望的總成本最低。

In this thesis, we investigate the optimal maintenance period for a two identical components parallel redundant system. In this system, one of the components is operating and the other component is in hot standby. When the operating component fails, it is minimally repaired and the standby component takes over the operation. In addition to minimal repair, preventive maintenance action is taken periodically to restore the system such that the failure frequency and downtime cost of the system can be reduced. In general, a long maintenance period will result in more repair cost and downtime cost. However, a short maintenance period causes more maintenance cost. Therefore, the length of maintenance period plays an important role in determining the total cost of operating the system. In this thesis, our objective is to find an optimal maintenance period such that the expected total cost per unit time is minimized.

中文摘要......................................................................................I
英文摘要...................................................................................... II
誌謝............................................................................................. III
目錄............................................................................................. IV
圖目錄.......................................................................................... VI
表目錄.......................................................................................... VIII
第一章 導論...............................................................................1
1.1研究動機與目的........................................................................1
1.2文獻探討............................................................................5
1.3研究步驟與論文架構..............................................................8
第二章 系統描述.................................................................9
2.1系統介紹.................................................................9
2.2失效率模式.................................................................13
2.3數學符號及基本假設.............................................................18
第三章 整合模型建構............................................................20
3.1小修成本模式...............................................................20
3.2保養成本模式......................................................................22
3.3當機成本模式.......................................................................22
3.4整合成本模式...................................................................25
3.5最佳保養區間................................................................26
第四章 數值分析..................................................31
4.1實證研究......................................................................31
4.2各因素變化對保養政策之影響.........................................36
第五章 結論與後續研究....................................................49
5.1結論................................................................................49
5.2未來研究方向..................................................................50
參考文獻......................................................................................51
附錄 平均失效率的推導..................................................55

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