In 2000, Misiorek and Barnett extended Golhar and Pollock's (1988) model with weights and measurements requirements for a filling process. They considered the normal quality characteristic and adopted the piecewise linear profit function for measuring the profit per fill. However, in the real world, many quality characteristics often show various types of skewed distribution. In this paper, we further propose the modified Misiorek and Barnett's (2000) model with beta distribution for determining the optimum process mean.
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