Abstract
The cumulative sum (CUSUM) control chart is known as a sensitive control chart to a slight change of the process quality characteristics. This control chart is designed based on a series of cumulative sum of the statistic derived from data. For normally distributed characteristics, it should be needed to monitor both changes of the mean and variance simultaneously. However, it is difficult to design the CUSUM or joint control chart using the statistics of and s or R jointly. By the way, Kanagawa et.al . have proposed the ( )control chart which enables the user to monitor both changes of the mean and variance simultaneously based on one statistic for normally distributed characteristics. When the CUSUM control chart is considered based on the ( ) control chart, it is possible to design and use the CUSUM control chart more easily than the joint CUSUM and either R or s control charts. Hence, we consider a CUSUM ( ) control chart in order to improve the performance for a slight change of the process quality characteristics in this article. In addition, the economical operation of the CUSUM ( ) control chart is also considered.
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