New design algorithm of the Shewhart&CUSUM chart for monitoring process mean shifts

Abstract

This article proposed an algorithm for the optimization design of the combined Shewhart chart and CUSUM chart ( X &CUSUM chart) that has been widely used in Statistical Process Control (SPC). The optimization design effectively improves the overall performance over the entire process shift range. A new feature pertaining to the exponential of the sample mean shift w is investigated to further enhance the detection effectiveness. Furthermore, a design table is provided to facilitate the designs of the X &CUSUM charts.