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Multivariate SPC for recipe preservation of batch processes |
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| Authors: | Young‐il Kim Benjamin M Adams |
| Affiliation: | 1. The Division of Preventive Medicine, University of Alabama at Birmingham, 1717 11th Avenue South, 603 Medical Towers, Birmingham, AL 35205, U.S.A.;2. The Applied Statistics Program, University of Alabama, Box 870226, Tuscaloosa, AL 35487‐0226, U.S.A. |
| Abstract: | The performances of the Hotelling's T2 control chart and the squared prediction error control chart based on the multi‐way principal component analysis are evaluated for monitoring within batch process variation for the purpose of recipe preservation. A nonlinear model for simulated batch process data is provided. The model allows for cross correlation of error terms at a given time period and serial correlation of error terms across time periods. The performance characterizations of the two monitoring schemes are provided for a variety of levels of cross correlation and serial correlation. The impact of the time period at which process shifts occur is also investigated for the monitoring schemes. The T2 control chart is recommended for the cases considered. Copyright © 2009 John Wiley & Sons, Ltd. |
| Keywords: | statistical process control T2 control chart principal component analysis batch processes |