Reference : The Hotelling's T2 Control Chart with variable parameters: Markov Chain Approach
E-prints/Working papers : First made available on ORBi
Business & economic sciences : Quantitative methods in economics & management
http://hdl.handle.net/2268/90719
The Hotelling's T2 Control Chart with variable parameters: Markov Chain Approach
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 >]
Seif, Asghar [Islamic Azad University- Hamadan Branch, Hamadan, Iran. > > > >]
Saniga, Erwin mailto [Department of Business Administration Department, University of Delaware, Newark, Delaware 19716, USA. > > > >]
Heuchenne, Cédric mailto [Université de Liège - ULg > HEC-Ecole de gestion de l'ULg : UER > Statistique appliquée à la gestion et à l'économie >]
Undated
Yes
[en] The Hotelling’s T2 control chart with variable parameters (VP T2) has been
shown to have improved performance in detecting small process shifts when compared to
the original fixed parameter T2 control chart (FRS T2). Practically, though, there are some
difficulties in implementation since one needs to use two different measuring scales with the
VP T2 chart. In this paper, we propose an alternative sampling scheme to the VP T2 chart.
Here we allow the sampling interval h, the sample size n and control limit k to vary between
minimum and maximum values while keeping the warning line fixed over time. This
proposed method uses only one measurement scale instead of two, greatly increasing its
ease of use. Using a mathematical model, we show that this proposed method yields designs
that have properties of rapid detection of small and moderate shifts in the process and, in
addition, are easy to apply.
http://hdl.handle.net/2268/90719

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