DETERMINING THE OPTIMUM PROCESS MEAN UNDER A BETA DISTRIBUTION

ABSTRACT Phillips and Cho [17] addressed a method for setting the optimum process mean when the quality characteristic is a beta distribution. They adopted the truncated quadratic loss function to measure the quality loss for a given truncated beta distribution. In this paper, we further propose the modified Phillips and Cho's [17] model with the linear quality loss for determining the optimum process mean. A numerical example is provided and the sensitivity analysis is conducted for illustration.

[1]  Stephen M. Pollock,et al.  Determination of the Optimal Process Mean and the Upper Limit for a Canning Problem , 1988 .

[2]  Dan Trietsch,et al.  Statistical Quality Control: A Loss Minimization Approach , 1999 .

[3]  M.-H. Caleb Li,et al.  Target Selection for an Indirectly Measurable Quality Characteristic in Unbalanced Tolerance Design , 2001 .

[4]  Ming-Hsien Caleb Li.  OPTIMAL PROCESS SETTING FOR UNBALANCED TOLERANCE DESIGN WITH LINEAR LOSS FUNCTION , 2002 .

[5]  Elsayed A. Elsayed,et al.  The Optimum Target Value under Single and Two-Stage Screenings , 2001 .

[6]  M. Jeya Chandra,et al.  Statistical Quality Control , 2001 .

[7]  Byung Rae Cho,et al.  A NONLINEAR MODEL FOR DETERMINING THE MOST ECONOMIC PROCESS MEAN UNDER A BETA DISTRIBUTION , 2000 .

[8]  Olle Carlsson.  Determining the most profitable process level for a production process under different sales conditions , 1984 .

[9]  Ming-Hsien Caleb Li,et al.  Quality Loss Function Based Manufacturing Process Setting Models for Unbalanced Tolerance Design , 2000 .

[10]  Neil S Barnett,et al.  Mean Selection for Filling Processes under Weights and Measures Requirements , 2000 .

[11]  Ming-Hsien Caleb Li.  Unbalanced Tolerance Design and Manufacturing Setting with Asymmetrical Linear Loss Function , 2002 .

[12]  Byung Rae Cho,et al.  Identification and Extensions of Quasiconvex Quality Loss Functions , 1997 .

[13]  G. R. Tang,et al.  Tolerance design for products with asymmetric quality losses , 1998 .

[14]  Saeed Maghsoodloo,et al.  Optimal asymmetric tolerance design , 2000 .