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A New Performance Criterion for Cusum Control Chart  

Lee, Yoon-Dong (Department of Applied Statistics, Konkuk University)
Ahn, Byoung-Jin (Department of Applied Statistics, Konkuk University)
Publication Information
Journal of Korean Society for Quality Management / v.33, no.4, 2005 , pp. 96-102 More about this Journal
Abstract
Cusum control chart is an efficient method to detect the change of process status. Many variants of cusum have considered, and the effects of design parameters have reviewed. To find the best cusum out of variants and to decide the best values of the design parameters, we need a criterion measuring the performance of the cusum control chart. People used and suggested several criterions which appear to be similar, but those have quite different properties. In this paper we review the properties of performance measure of cusum and its variants. Our goal is to provide fair and impartial criterion for comparison of cusums when the decision boundaries of the cusums are much different each other. We comparatively tested newly suggested measure and traditional measure with the examples of cumulative scored chart as a special case of cusum chart.
Keywords
CUSUM; Average Run Length; Stationary Distribution;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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