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The design of geometric generalized likelihood ratio control chart
Author(s) -
KazemiNia AliAkbar,
Gildeh Bahram Sadeghpour,
Abbasi Ganji Zainab
Publication year - 2018
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.2303
Subject(s) - cusum , control chart , chart , shewhart individuals control chart , statistic , x bar chart , control limits , statistics , statistical process control , ewma chart , computer science , range (aeronautics) , mathematics , process (computing) , engineering , aerospace engineering , operating system
This paper develops a control chart, named generalized likelihood ratio (GLR) control chart, based on a GLR statistic to monitor the parameter of geometrically distributed process. The GLR statistic is obtained based on window of the past samples. The performance of the GLR control chart is compared with the cumulative sum (CUSUM) and two combinations of CUSUM charts, in terms of the steady state average time to signal. Simulation results show that the GLR control chart outperforms the CUSUM and two combinations of CUSUM charts in detecting a wide range of parameter shifts in the geometrically distributed process. A real data set is used to demonstrate the performance and effectiveness of the proposed control chart.