Economic Design of Process Mean, Standard Deviation and Screening Limits Based on Burr Distribution

The traditional quality screening problem considers the correlated and normal quality characteristics between product and screening characteristics. However, non-normal characteristics may exist in many practical production and inspection processes. In this paper, the author applies the bivariate Burr’s density function in the quality level setting and screening problem to obtain the optimal process mean, standard deviation, and screening limits based on the minimization of the expected total product cost including quality loss for conforming products and rework costs for non-conforming products. A numerical example is given for illustration and a sensitivity analysis is conducted to assess the effects of model parameters on the optimal problem solution.