Reference : The variable parameters T2 chart with run rules
Scientific journals : Article
Business & economic sciences : Quantitative methods in economics & management
http://hdl.handle.net/2268/103217
The variable parameters T2 chart with run rules
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 >]
Celano, Giovanni mailto [University of Catania, Catania, Italy > Dipartimento di Ingegneria Industriale > > >]
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 [University of Delaware, Newark, DE 19716, USA > Department of Business Administration > > >]
Fichera, S. [University of Catania, Catania, Italy > Dipartimento di Ingegneria Industriale > > >]
Jun-2013
Statistical Papers
Springer Science & Business Media B.V.
Yes
International
0932-5026
[en] Hotelling’s T2 Control chart; Variable parameters (VP); Run rules; Markov chain; Genetic algorithms (GA)
[en] The Hotelling’s T2 control chart with variable parameters (VP T2) has been shown to have better statistical performance than other adaptive control schemes in detecting small to moderate process mean shifts. In this paper, we investigate the statistical performance of the VP T2 control chart coupled with run rules. We consider two well-known run rules schemes. Statistical performance is evaluated by using a Markov chain modeling the random shock mechanism of the monitored process. The in-control time interval of the process is assumed to follow an exponential distribution. A Genetic Algorithm has been designed to select the optimal chart design parameters. We provide an extensive numerical analysis indicating that the VP T2 control chart with run rules outperforms other charts for small sizes of the mean shift expressed through the Mahalanobis distance.
Fonds de la Recherche Scientifique (Communauté française de Belgique) - F.R.S.-FNRS ; IAP research network grant nr. P7/06 of the Belgian government (Belgian Science Policy)
Researchers ; Professionals ; Students
http://hdl.handle.net/2268/103217
also: http://hdl.handle.net/2268/150951
10.1007/s00362-013-0537-7
http://link.springer.com/article/10.1007%2Fs00362-013-0537-7

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