An optimization model for designing acceptance sampling plan based on cumulative count of conforming run length using minimum angle method

Abstract

The purpose of this article is to present an acceptance sampling plan based on cumulative count of conforming using minimum angle method. In this plan, if the number of inspected items until rth defective items is greater than an upper control threshold then lot is accepted and if it is less than a lower control threshold then the lot is rejected and if it is between control thresholds, process of inspecting the items continues. To design this model, we considered some important concepts like number of inspected items until rth nonconforming item in inspection, first and second type of error, average number inspected (ANI), AQL and LQL. Also derivative of (ANI) function in point AQL is used for optimization. The objective function of this model was constructed based on minimum angle method. Also a comparison study is carried out to evaluate the performance of proposed methodology in 50 different data sets.