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The Synthetic Mean Square Error Control Chart
Authors:Ming Ha Lee  Michael B C Khoo
Institution:1. School of Engineering, Computing and Science, Swinburne University of Technology Sarawak Campus , Kuching , Malaysia;2. School of Mathematical Sciences, Universiti Sains Malaysia , Penang , Malaysia
Abstract:A synthetic mean square error (MSE) control chart is presented in this study for monitoring the changes in the mean and standard deviation of a normally distributed process. The synthetic MSE control chart is a combination of the standard MSE control chart and the conforming run length (CRL) control chart. From the numerical comparisons, the synthetic MSE control chart is always more efficient than the standard MSE control chart in detecting shifts in the process mean and standard deviation. The synthetic MSE chart also performs better than the exponentially weighted moving average-semicircle (EWMA-SC) chart, except for some cases where the process mean shifts are small.
Keywords:Average run length  Conforming run length control chart  Mean square error control chart  Synthetic control chart
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