We consider the group testing problem for a finite population of possibly defective items with the objective of sampling a prespecified demanded number of nondefective items at minimum cost.Group testing means that items can be pooled and tested together; if the group comes out clean, all items...

We study several group testing models with and without processing times.The objective is to choose an optimal group size for pooled screening of a contaminated population so as to collect a prespeciffied number of good items from it with minimumtesting expenditures.The tested groups that are...