Variable sampling inspection plans with screening for assuring average outgoing surplus quality loss limit indexed by Taguchi's loss

Taguchi has proposed a variable-quality evaluation called "Taguchi's quality loss" instead of the attribute quality evaluation such as the proportion of nonconforming items. Arizono et al. have proposed a single acceptance sampling plan based on operating characteristics from the viewpoint of assuring Taguchi's quality loss. This sampling plan is designed to guarantee the constraints of the prescribed acceptance probabilities for respective lots with the allowable quality loss limit and the unallowable quality loss limit. However, in the acceptance sampling plan based on operating characteristics, the corrective action for rejected lot is not prescribed. On the other hand, the sampling inspection plan with screening is well known as the sampling scheme with the corrective action for rejected lots. Then, there is the attribute sampling inspection scheme with screening in order to guarantee the expectation of the proportion of nonconforming items in the shipping lot. However, the variable sampling inspection scheme with screening has not yet been prescribed. Then, in this article, we propose a variable sampling scheme with screening procedure for the purpose of assuring the upper limit of the maximum expected surplus loss indexed by Taguchi's loss.