Volume 34, Issue 2 (IJIEPR 2023)                   IJIEPR 2023, 34(2): 167-184 | Back to browse issues page

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Salmasnia A, Maleki M R, Safikhani E. A Ridge Penalized Likelihood Ratio Chart for Phase II Monitoring of High-Dimensional Process Dispersion Under Measurement System Inaccuracy. IJIEPR 2023; 34 (2) :167-184
URL: http://ijiepr.iust.ac.ir/article-1-1501-en.html
A Ridge Penalized Likelihood Ratio Chart for Phase II Monitoring of High-Dimensional Process Dispersion Under Measurement System Inaccuracy
Ali Salmasnia 1, Mohammad Reza Maleki2 , Esmaeil Safikhani3
1- Department of Industrial Engineering, Faculty of Engineering, University of Qom, Iran , a.salmasnia@qom.ac.ir
2- Industrial Engineering Group, Golpayegan College of Engineering, Isfahan University of Technology, Golpayegan, 87717-67498, Iran
3- Department of Industrial Engineering, University of Eyvanekey, Semnan, Iran
Abstract:   (1213 Views)
In some applications, the number of quality characteristics is larger than the number of observations within subgroups. Common multivariate control charts to monitor the variability of such high-dimensional processes are unsuitable because the sample covariance matrix is not positive semi-definite and invertible. Moreover, the impact of gauge imprecision on detection capability of multivariate control charts under high-dimensional setting has been clearly neglected in the literature. To overcome these shortcomings, this paper develops a ridge penalized likelihood ratio chart for Phase II monitoring of high-dimensional process in the presence of measurement system errors. The developed control chart departures from the assumption of sparse variability shifts in which the assignable cause can only affects a few elements of the covariance matrix. Then, to compensate for the adverse impact of gauge impression, the developed chart is extended by employing multiple measurements on each sampled item. Simulation studies are carried out to study the impact of imprecise measurements on detectability of the developed monitoring scheme under different shift patterns. The results show that the gauge inability negatively affects the run-length distribution of the developed control chart. It is also found that the extended chart under multiple measurements strategy can effectively reduce the error impact.
Keywords: High-dimensional process, Covariance matrix, Measurement errors, Ridge penalized likelihood ratio statistic, Multiple measurements per item.
Full-Text [PDF 807 kb]   (580 Downloads)    
Type of Study: Research | Subject: Statistical Process Control Statistical Process Control or Quality Control
Received: 2022/04/30 | Accepted: 2023/05/27 | Published: 2023/05/27
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