在某些工業製程裡，會用一或多個解釋變數及一個反應變數之間的函數關係來描述品質，這種函數關係稱為輪廓。
在過去的文獻中，沒有人對圓柱體產品進行製程的輪廓監控。本文主要是應用Zou, Tsung and Wang (2007)提出的監控一般線性輪廓製程的多變量指數加權移動平均(multivariate exponentially weighted moving average, 簡稱 MEWMA)管制圖在圓柱體製程的監控上。我們會介紹如何利用線性模型來描述圓柱體的資料，並 透過監控圓柱體線性輪廓參數來建立MEWMA管制圖。我們透過統計模擬的方式來比較此MEWMA管制圖和利用監控圓柱度偏差所建立的MEWMA管制圖的監控表現。
同時，我們也在偵測出失控警訊後，提出估計製程改變點和找出導致改變點發生的圓柱體線性輪廓參數的方法。最後，我們用一個例子來說明如何對實際的圓柱體製程進行輪廓監控。

In certain industrial processes, the quality of a product is characterized by the functional relationship
between a response variable and one or more explanatory variables. This functional relationship is called a profile.
In the literature, profile monitoring of cylindrical products has not ever been performed.
In this article, we apply the MEWMA control chart proposed by Zou, Tsung and Wang (2007) to monitor the linear profile process for cylindrical products. We first introduce how to use linear models to describe cylindrical data and how to use the MEWMA control chart to monitor the linear profiles. Then, we compare the simulation performance of this MEWMA control chart with the MEWMA control chart established by using cylindricity deviation.
We also estimate the changepoint in profile monitoring and identify the out-of-control profile parameters when the MEWMA chart signals.
Finally, we use a real example to illustrate how to perform profile monitoring on actual cylindrical data.

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