自我恢復力之概念為當生物或系統受到外力衝擊時，能夠有承受衝擊的容受力以及短時間內恢復至較健康狀態之恢復力。隨著時間的推進，自我恢復力之概念已被實際應用至不同領域中，包括材料、電機、交通運輸等領域。過往文獻中，對於系統的失效較多著重於失效函數及外在衝擊的描寫，較少有文獻針對系統在具備有恢復力下的描寫。本文將自我恢復力納入考量並建構含有恢復力之系統狀態，且在受外在衝擊的情況下討論不同內部退化速率及恢復量變動下的置換策略、期望成本率以及恢復力之價值。系統除了自身內部退化外，也會受到外在衝擊影響，導致系統效能越來越差。在系統狀態逐漸增加的同時，運營成本也會逐步提升。為了達到最低的期望成本率以避免不必要的支出，當系統達某特定門檻時即進行系統置換。在以期望成本率作為績效指標下，本論文將找出不同系統的最佳置換門檻，並更進一步探討恢復力在系統中的價值。

Resilience means a system has tolerance to resist shocks and can heal itself to a healthier state after suffering from exterior shocks. Resilience, or “self-healing”, is increasingly being applied to practice in different fields such as material field, electrical engineering field and transportation field and so on. In the past literatures, system failures have been more focused on failure rate and exterior shocks, yet few literatures have considered resilience capability into the model. Therefore, this paper takes resilience capability into account by constructing a system status with embedded resilience capability and discusses its replacing strategy, expected cost rate and the worth of resilience capability under the circumstances of suffering from exterior shocks, different deterioration rate and changing resilience value. In this model, the system performance is not only affected by interior deterioration but also exterior shocks, both leading to a poorer system performance. As the system performance worsen, the operation cost also rises. In order to have the lowest expected cost rate and avoid unnecessary expenditures, systems are recommended to be replaced while reaching the replacing threshold. Finally, some numerical examples are given to analyze the replacing thresholds of different systems and evaluate the worth of resilience capability.

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