Determining an economically optimal (N,C) design via using loss functions

In this paper,we introduce a new sampling plan based on the defective proportion of batch. the proposed sampling plan is based on the distribution function of the proportion defective. a continuous loss function is used to quantify deviations between the proportion defective and its acceptance quality level (aql). for practical purpose,a sensitivity analysis is carried out on the different values of the required sample sizes that allow practitioners to design near optimal inspection plans. a numerical example is presented to illustrate how the proposed procedure can be applied to design acceptance plans.