Erratum to “The Economic Design of Multivariate MSE Control Chart”

Abstract: In this paper, the economic design of MSE control chart is extended to the multivariate case. The important feature of this control chart is that it uses the target value instead of the process mean. According to Taguchi's viewpoint, any deviation from the target value represents a kind of loss. Therefore, we construct the model of economic design by considering not only the control costs occurred in the production process but also the loss resulted to the customer because the quality characteristics shifted from the target value. The expected loss of multivariate squared error is presented and used in the formulated cost model. A True Basic program is used to find the optimum parameters of the sample size, the sample interval, and the width, ; n h , E of the control limits of the multivariate MSE chart. Finally, an example is used to illustrate the application of the proposed economic design of the multivariate MSE control chart.

[1]  Viliam Makis,et al.  Multivariate Bayesian Control Chart , 2008, Oper. Res..

[2]  Yan-Kwang Chen,et al.  Economic design of variable sampling interval T , 2007, Expert Syst. Appl..

[3]  Giovanni Celano,et al.  On the constrained economic design of control charts: a literature review , 2011 .

[4]  Douglas C. Montgomery,et al.  Economic Design of T2 Control Charts to Maintain Current Control of a Process , 1972 .

[5]  D. T. Shirke,et al.  A Multivariate Synthetic Control Chart for Monitoring Process Mean Vector , 2008 .

[6]  Y.-K. Chen,et al.  Economic design of an adaptive T2 control chart , 2007, J. Oper. Res. Soc..

[7]  Seyed Taghi Akhavan Niaki,et al.  Decision-making in detecting and diagnosing faults of multivariate statistical quality control systems , 2009 .

[8]  A. Duncan The Economic Design of -Charts When There is a Multiplicity of Assignable Causes , 1971 .

[9]  Kenneth E. Case,et al.  Economic Design of Control Charts: A Literature Review for 1981–1991 , 1994 .

[10]  Acheson J. Duncan,et al.  The Economic Design of X Charts Used to Maintain Current Control of a Process , 1956 .

[11]  Francisco Aparisi,et al.  Double sampling hotelling's T2 charts , 2008, Qual. Reliab. Eng. Int..

[12]  Douglas C. Montgomery,et al.  The Economic Design of Control Charts: A Review and Literature Survey , 1980 .

[13]  Ismael Sánchez,et al.  Principal Alarms in Multivariate Statistical Process Control , 2008 .

[14]  Chung-Ho Chen,et al.  Economic-Statistical Design of Multivariate Control Charts Using Quality Loss Function , 2002 .

[15]  Viliam Makis,et al.  Economic and economic-statistical design of a chi-square chart for CBM , 2008, Eur. J. Oper. Res..

[16]  Hong Mao,et al.  The Economic Design of the MSE Control Chart , 2010, Commun. Stat. Simul. Comput..