The optimal number of items in a group for group testing

We consider the possibility of applying a group testing procedure not for carrying out a traditional task of discovering all or some defective items in a finite or an infinite set of items but for discovering N non-defective items in an infinite set. For the suggested group testing procedure, we calculate the optimal number of items in a group (n∗), depending on p(0<p<1), the probability of the item’s non-defectiveness. It has been shown that if p>0.5, then the optimal number of items in a group n∗≥2 for the suggested group testing procedure.