Reference : Optimal T2 control chart with double sampling scheme - an alternative to the MEWMA chart
Scientific journals : Article
Business & economic sciences : Quantitative methods in economics & management
http://hdl.handle.net/2268/90674
Optimal T2 control chart with double sampling scheme - an alternative to the MEWMA chart
English
Faraz, Alireza mailto [Université de Liège - ULg > HEC-Ecole de gestion de l'ULg : UER > Statistique appliquée à la gestion et à l'économie >]
Heuchenne, Cédric mailto [Université de Liège - ULg > HEC-Ecole de gestion de l'ULg : UER > Statistique appliquée à la gestion et à l'économie >]
Saniga, Erwin mailto [Department of Business Administration, University of Delaware, Newark, Delaware 19716, USA > > > >]
Nov-2012
Quality and Reliability Engineering International
John Wiley & Sons, Inc. - Engineering
28
7
751-760
Yes (verified by ORBi)
International
0748-8017
[en] Hotelling’s T2 control chart, MEWMA, Double Sampling (DS), Economic Statistical Design (ESD) and Genetic Algorithm (GA).
[en] Recent studies have shown that the double sampling (DS) scheme yields rapid detection of out of control situations, but the economic consequences of applying the proposed method are not discussed in the literature yet. In this paper, the economic statistical design of the DS T2 control chart is designed to address this issue. In this regard, upon the Lorenzen and Vance (1986)’s economic model, the problem is formulized and then the cost function is minimized using the genetic algorithm search method to obtain the optimal design parameters. Besides, we assumed that the length of the time that process remains in control is exponentially distributed. Through an illustrative example we show that by applying the proposed method relatively large benefits can be achieved in a comparison with the classical T2 and the statistical DS T2 charts. Furthermore the performance of the ESD DS T2 charts is compared to the MEWMA and other variable ratio sampling (VRS) T2 control charts in the literature.
Researchers ; Professionals ; Students
http://hdl.handle.net/2268/90674
10.1002/qre.1268
http://onlinelibrary.wiley.com/doi/10.1002/qre.1268/abstract

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