Open AccessThe Performance of the EWMA Median Chart in the Presence of Measurement Error
Author(s) -
Huu Du Nguyen,
Quang Thang Nguyen,
Thị Hiền Nguyễn,
N. Balakrishnan,
Kim Phuc Tran
Publication year - 2020
Publication title -
artificial intelligence evolution
Language(s) - English
Resource type - Journals
eISSN - 2717-5952
pISSN - 2717-5944
DOI - 10.37256/aie.112020401
Subject(s) - ewma chart , control chart , statistics , x bar chart , markov chain , chart , covariate , shewhart individuals control chart , computer science , mathematics , process (computing) , operating system
Measurement error always exists in quality control applications and may considerably affect the ability of control charts to detect an out-of-control situation. In this paper, we study the performance of the EWMA median chart using a Markov Chain approach with a linear covariate error model and a corrected formula for the distribution of the sample median. The performance is evaluated through the Average Run Length. Several gures and tables are presented and enumerated to show the statistical performance of the EWMA median control chart for different sources of measurement errors. The positive effect of taking multiple measurements for each item in a subgroup on the performance of the EWMA median chart is also investigated. An example illustrates the use of this study is introduced. The numerical simulation shows that the measurement errors have a negative influence on the proposed chart.