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Design of a variable sampling interval exponentially weighted moving average median control chart in presence of measurement errors
Author(s) -
Duc Tran Kim,
Du Nguyen Huu,
Hien Nguyen Thi,
Phuc Tran Kim
Publication year - 2021
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.2726
Subject(s) - ewma chart , control chart , statistics , chart , covariate , x bar chart , observational error , mathematics , interval (graph theory) , statistical process control , sampling interval , sampling (signal processing) , variable (mathematics) , computer science , control theory (sociology) , algorithm , control (management) , process (computing) , artificial intelligence , filter (signal processing) , combinatorics , computer vision , operating system , mathematical analysis
In the literature, many control charts monitoring the median is designed under a perfect condition that there is no measurement error. This may make the practitioners confusing to apply these control charts because the measurement error is the true problem in practice. In this paper, we consider the effect of measurement error on the performance of the exponentially weighted moving average (EWMA) control chart combining with the variable sampling interval (VSI) strategy. A linear covariate error model is supposed to model the measurement error. The performance of the VSI EWMA median control chart is evaluated through the average time to signal. The numerical simulation shows that the measurement errors have a negative influence on the proposed chart.