Hypergeometric Group Testing with Incomplete Information

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 found contaminated are used as new sampling population in later stages of the procedures.Since testing may be time-consuming, we also consider deadlines to be met for the testing process.We derive algorithms and exact results for the underlying distributions enabling us to find optimal procedures.Several numerical examples are given.