管制圖為常見的品質管理工具，現有的單變量管制圖其實已經發展的很完善，常見的單變量管制圖有：傳統的修華特管制圖、累積和管制圖、指數加權移動平均管制圖，但這些單變量管制圖大部分都只在特定位移才有較好的監控效果。GLR管制圖是近年來較受到學者重視的管制圖，此管制圖在廣泛的位移都有良好的監控表現，先前學者提出之GLR管制圖以及資訊理論管制圖在監控不良率時都是使用固定管制界限，本研究則是應用資訊理論的概念建構監控不合格率上升之管制圖，稱之為Information-theoretical Control Chart for fraction nonconforming (ITCC)，其使用符合實際情況之變動管制界限，在一開始給予較寬的管制界限範圍並隨考慮的樣本數的增加使管制界限逐漸變窄，而本研究使用兩種估計檢定統計量的方式，分別為ITCC-L與ITCC-I，ITCC-L是與GLR管制圖的概念結合，先利用最大概似法找到最有可能發生樣本的位置再進行檢定統計量的計算，另一種ITCC-I是假設製程在k-1期時皆未提出警訊，之後從k期依序往前考慮樣本個數計算檢定統計量。根據最後分析結果可看出ITCC-I較ITCC-L有更好的監控效果，並在p=0.01時在廣泛位移有最好的監控能力，在p=0.1時，大位移有較佳監控能力，在p=0.001時，小位移有較佳的監控能力且其中使用本研究提出之判斷準則方法來避免無法進行計算的設定下對廣泛位移都有良好的監控效果，且不需要額外設定任何參數，較符合實際監控製程之情況。

This study develops a statistical process control (SPC) chart with time-varying control limits based on information theory to monitor the increase in the nonconforming rate, p. We name this control chart as Information-theoretical Control Chart for fraction nonconforming (ITCC). This study uses two ways to construct the ITCC, the maximum-likelihood method and the backward sequential test, respectively. This two approaches are named as ITCC-L chart and ITCC-I chart. The Phase II performance of the charts in detecting small increases in p is evaluated by the steady state average number of observations to signal. Comparison of the ITTC to the Bernoulli GLR chart and the Shewhart CCC-r chart show that the performance of the ITCC-I chart is better than its competitors. ITCC do not require additional parameters, and can be an effective method in detecting wide range shift.

中文文獻：
劉英守，應用資訊理論於監控伯努力過程之管制圖，國立成功大學工業與資訊管理研究所碩士論文，民國一百零四年六月。
楊瑋欣，應用幾何分佈於監控伯努力過程之資訊理論管制圖，國立成功大學工業與資訊管理研究所碩士論文，民國一百零五年六月。
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