Shewhart、CUSUM與EWMA計數值管制圖之品質偵測能力比較研究

A Comparative Study on Shewhart, CUSUM and EWMA Attribute Control Charts

10.6626/MR.201712_17.0002

黃允成(Yun-Cheng Huang)；林宜蓉(Yi-Rong Lin)；張妤宣(Yu-Xuan Zhang)

Shewhart管制圖 ； CUSUM管制圖 ； EWMA管制圖 ； 平均連串長度(ARL) ； Shewhart ； CUSUM ； EWMA control charts ； Average run length (ARL)

管理研究學報

17卷（2017 / 12 / 01）

43 - 86

繁體中文

根據以往研究指出，當製程產生大偏移時，Shewhart管制圖有不錯的偵測效果，但對現今產品設計以高品質為目標而言，大偏移之監測能力已不足以滿足需求，故當製程有微量變異時，應使用EWMA管制圖或CUSUM管制圖來監測製程。當製程品質水準在管制範圍內時，此時希望ARL_0越大越好；反之，當製程品質水準在管制範圍外時，則希望ARL_1越小越好。故本研究將探討Shewhart管制圖、CUSUM管制圖與EWMA管制圖分別在不同的品質特性下，何者管制圖之偵測績效較佳。最後，本文提出7點具體結論供後續研究及實務應用上參考。

Based on literature review, when the process has a large change, Shewhart control chart's detect effects will better than the others. But for today's high-quality products requirement, the detect ability for large changes has been insufficient to meet the demand. Therefore, when the process has a small change, EWMA control chart or CUSUM control chart should be used to monitor the process. When the process is in-control, the average run length is hoped the bigger the better. On the contrary, when the process is out-control, the average run length is hoped the smaller the better. In this paper, we will explore and compare the detecting performance among the Shewhart, CUSUM and EWMA control charts under a variant of quality characteristics. Finally, seven conclusions are drawn for future studies and practical applications.

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