Design procedures for variable sampling inspection plans with screening indexed by Taguchi's quality loss under consideration of minimizing average total inspection

Taguchi has proposed the concept of the quality loss as the evaluation measure of quality of items based on the variable property instead of the attribute quality evaluation such as the proportion of nonconforming items. Then, Arizono et al. have proposed acceptance sampling plans based on operating characteristics in the viewpoint of assuring Taguchi's quality loss. Further, Morita, Arizono and Takemoto have proposed variable sampling inspection plans with screening for the purpose of assuring the upper limit of maximum expected surplus loss after inspection indexed by Taguchi's quality loss. However, in the variable sampling inspection plans with screening mentioned above, the minimization of the average total inspection (ATI) in the screening sampling scheme has not been considered. Hereby, in this article, the design procedures for variable sampling inspection plans with screening indexed by Taguchi's quality loss in order to minimize the ATI in conformity with the conventional attribute sampling inspection plans with screening called LTPD inspection scheme and AOQL inspection scheme are presented.