Title : ( The design of geometric generalized likelihood ratio control chart )
Authors: ali akbar Kazemi Nia , Bahram Sadeghpour Gildeh , Z. Abbasi Ganji ,
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Abstract
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.
Keywords
, average time to signal, CUSUM chart, generalized likelihood ratio, steady state, 2CUSUM chart
@article{paperid:1068954,
author = {Kazemi Nia, Ali Akbar and Sadeghpour Gildeh, Bahram and Z. Abbasi Ganji},
title = {The design of geometric generalized likelihood ratio control chart},
journal = {Quality and Reliability Engineering International},
year = {2018},
volume = {34},
number = {5},
month = {May},
issn = {0748-8017},
pages = {953--965},
numpages = {12},
keywords = {average time to signal; CUSUM chart; generalized likelihood ratio; steady state; 2CUSUM chart},
}
%0 Journal Article
%T The design of geometric generalized likelihood ratio control chart
%A Kazemi Nia, Ali Akbar
%A Sadeghpour Gildeh, Bahram
%A Z. Abbasi Ganji
%J Quality and Reliability Engineering International
%@ 0748-8017
%D 2018
