The Optimum Target Value for Single Filling Operations with Quality Sampling Plans

We address the problem of choosing the most cost efficient set point for an automatic filling operation on a production line. Several researchers have examined this problem for the case where the filling operation is followed by 100% inspection. However, it is not always possible or economically justifiable to inspect every unit of product. In this paper we examine the case in which a sampling plan is used. There are two conditions examined, (1) when sampling results in destructive testing and (2) when the testing is nondestructive.