A New Optimization Model for Designing Acceptance Sampling Plan Based on Run Length of Conforming Items

The purpose of this article is to present an optimization model for designing an acceptance sampling plan based on cumulative sum of run length of conforming items. The objective is to minimize the total loss including both the producer and consumer losses. The concept of minimum angle method is applied to consider producer and consumer risks in the optimization model. Also the average number of inspection is considered in the constraint of the model.A practical case study is solved and a sensitivity analysis is performed for elaborating the effect of some important parameters on the objective function. The results of sensitivity analysis showed that the proposed model performance is logical, reliable in all the cases and also has better performance in comparison with classical method in most of the cases. A computational experiment is done to compare the different sampling schemes. The results of computational experiment showed that the proposed model has better performance due to smaller ANI value in all cases.