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4. ARL Study of Second Order Autocorrelation Residual Control Chart and its Application in MAP

Author

Li Yuandong, Ding Chenyu, and Yue Ruihua

Subjects
Markov chain, 05 social sciences, Autocorrelation, Markov process, 020101 civil engineering, 02 engineering and technology, Residual, 0201 civil engineering, symbols.namesake, 0502 economics and business, symbols, Process control, Control chart, False alarm, Time series, Algorithm, 050203 business & management, Mathematics
Abstract

The average run chain length under different autocorrelation parameters was calculated by Markov chain method. Compared with the traditional Shewhart control chart, the performance was better and the influence of sequence correlation was basically eliminated. At the same time, the residual control chart of the design is validated once again by using the real data generated from the measurement assurance scheme. The residual control chart effectively reduces the fluctuation caused by the non-abnormal causes and reduces the false alarm. Further illustrates the effectiveness of its elimination sequence correlation.

Published
2018

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