Design of Variance CUSUM

Abstract

We suggest a fast and accurate algorithm to compute ARLs of CUSUM chart for controling process variance.The algorithm solves the characteristic integral equations of CUSUM chart (for controling variance). The algorithm is directly applicable for the cases of odd sample sizes. When the sample size is even, by using well-known approximation algorithm combinedly with the new algorithm for neighboring odd sample sizes, we can also evaluate the ARLs of CUSUM charts efficiently and accurately. Based on the new algorithm, we consider the optimal design of upward and downward CUSUM charts for controling process variance.