隨著科技進步與品質管理觀念的普及，統計製程管制逐漸受到企業重視，大多數的產業都會研究監控不良率上升。因不良率的上升會導致製程能力下降，進而產生較多不良品。在化工、製藥業等較為複雜的製程中，若一開始就出現問題但沒有馬上偵測到，將產生許多成本。若導入快速初始反應機制，可以在製程開始就產生變異時加快管制圖之偵測速度，使操作人員及早發現問題並處理。FIR（fast initial response）快速初始反應機制，是統計製程管制中的一種策略，旨在即時識別製程變化或異常，並快速做出調整。本研究基於Kullback-Leibler資訊理論（KLI），以幾何分配構建管制圖，用於監控製程中的不良率上升。每次觀察樣本以一期為單位，幾何分配的觀察值大於一，計算量少於伯努利分配。本研究導入FIR 以提升偵測偏移的靈敏度與速度。研究中應用了無需設計參數的幾何KLI管制圖，降低操作難度且可偵測大範圍參數偏移。本研究首先回顧相關文獻，探討KLI 資訊理論的應用價值，說明FIR機制設計方式。接著建構幾何KLI管制圖並結合FIR，提升製程初期偏移偵測能力。最後建立成本效益分析模型，確認FIR機制適用性。

This study introduces a fast initial response mechanism into the geometric Kullback-Leibler information control chart to monitor changes on detecting upward shifts in three levels of process defect rates (p = 0.1, 0.01, and 0.001). Its feature is that it does not require parameter settings and can detect a wide range of parameter shifts. The FIR feature is suitable for processes that are prone to errors. The study results indicate that introducing FIR at the situation where the parameters change at the beginning of the process results in a smaller correct alarm cost and a larger false alarm cost compared to the situation where the parameters do not change at the beginning of the process. The model proposed in this study helps users determine the timing for using this mechanism.

中文文獻：
王尊輿(民110)。用於監控不良率之幾何 Kullback-Leibler 資訊管制圖。國立成功大學工業與資訊管理研究所碩士論文。
李哲維(民110)。伯努利Kullback-Leibler資訊管制圖用於監控不合格率國立成功大學工業與資訊管理研究所碩士論文。
呂倢瑩(民111)。用於監控批次生產之不合格率Kullback-Leibler資訊管制圖。國立成功大學工業與資訊管理研究所碩士論文。
林煒倫(民113)。導入快速初始反應機制於Kullback-Leibler資訊管制圖監控製程平均數以及變異數並分析其使用時機。國立成功大學工業與資訊管理研究所碩士論文。
房宣名(民113)。建構多項分配Kullback-Leibler資訊管制圖。國立成功大學工業與資訊管理研究所碩士論文。
張景富(民112)。導入快速初始反應機制至Kullback-Leibler資訊管制圖。國立成功大學工業與資訊管理研究所碩士論文。
趙昱琳(民111)。用於監控不良率之負二項Kullback-Leibler資訊管制圖。國立成功大學工業與資訊管理研究所碩士論文。
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