On the performance of coefficient of variation charts in the presence of measurement errors

EWMA control charts; Markov chain; Shewhart control chart; Flowcharting; Graphic methods; Markov processes; Measurement errors; Accuracy errors; Coefficient of variation; Exponentially weighted moving average; Out-of-control; Shewhart control charts; Statistical performance; Textile manufacturing; Control charts

Abstract :

[en] In the literature, coefficient of variation control charts have been introduced under the assumption of no measurement errors. However, measurement errors always exist in practice, and they do affect the performance of control charts in the detection of an out-of-control situation. In this paper, we therefore study the performance of a coefficient of variation Shewhart-type control chart (Shewhart-CV chart) and also one-sided coefficient of variation exponentially weighted moving average–type control charts (EWMA-γ2 charts) using a model with linear covariates. Moreover, we propose and study the performance of a two-sided EWMA-γ2 chart using a model with linear covariates. Several figures and tables are provided and analyzed to evaluate the statistical performance of these control charts for different sources of measurement errors. The obtained results show that the precision and accuracy errors significantly affect the performance of both the Shewhart-CV and EWMA-γ2 control charts. An example illustrating the use of this study is finally presented. © 2018 John Wiley & Sons, Ltd.

Disciplines :

Quantitative methods in economics & management

Author, co-author :

Tran, Kim Phuc; Ecole Nationale Supérieure des Arts et Industries Textiles, GEMTEX Laboratory, Roubaix Cedex 1, France

Heuchenne, Cédric ; Université de Liège - ULiège > HEC Liège : UER > Statistique appliquée à la gestion et à l'économie

Balakrishnan, Narayanaswamy; Department of Mathematics and Statistics, McMaster University, Hamilton, ON, Canada

Language :

English

Title :

On the performance of coefficient of variation charts in the presence of measurement errors

Publication date :

2019

Journal title :

Quality and Reliability Engineering International

ISSN :

0748-8017

eISSN :

1099-1638

Publisher :

John Wiley and Sons Ltd

Volume :

Issue :

Pages :

329-350

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 25 January 2020

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