The optimal number of items in a group for group testing

Andrey L. Gusev

Statistics & Probability Letters, 2012, vol. 82, issue 12, 2083-2085

Abstract: 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(00.5, then the optimal number of items in a group n∗≥2 for the suggested group testing procedure.

Keywords: Infinite set; Number of items for one check; Item defectiveness probability; Item-choosing algorithm (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1016/j.spl.2012.07.009

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