Optimal process mean setting under the quality and cost

Abstract

In this study, the author considers the optimal process mean setting problem with process adjustment cost and product quality. Assume that the process adjustment cost is proportional to the square of process mean and reciprocal of variance. Taguchi’s asymmetric quadratic quality loss function is adopted for measuring the product quality. The uniform and triangular distributions of quality characteristic are addressed in the formulation of mathematical model. The optimal process mean will be obtained by minimizing the expected total cost of product. Finally, the numerical example and sensitivity analysis of parameters are provided for illustration.

Subject Classification: (2010):

• 60 Probability Theory and Stochastic Processes

Keywords:

• Process mean
• Asymmetric quadratic quality loss function
• Uniform distribution
• Triangular distribution