ประสิทธิภาพแผนภูมิควบคุมค่าเฉลี่ยเคลื่อนที่ถ่วงน้ำหนักแบบเลขชี้กำลังส่วนขยายสำหรับตรวจจับค่าเฉลี่ยของกระบวนการ

บทคัดย่อ

The purpose of this paper is to obtain the explicit formula for evaluating the average run length (ARL) on anextended exponentially weighted moving average control chart (EEWMA). This chart was developed for detecting and controlling process mean variation for time series models. In general, the most commonly used measure of the performance of the control chart is determined by the average run length (Average Run Length: ARL). Therefore, in this research, the explicit formula of ARL for EEWMA control chart is presented. The Performance comparison of the explicit formula and the numerical integral equations method (NIE) is carried out using the absolute percentage relative error and CPU time. Furthermore, the CUSUM, EWMA and the EEWMA control charts are compared. In addition, the explicit formula is successfully applied to realworld data and can be applied to other control charts.

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