A Method for Detecting All Defective Members in a Population by Group Testing

Abstract

Suppose a population containing items classified either as defectives or as non-defectives. This article presents a new group testing method to detect all defectives in the population. The proposed method applies either when the actual number of defectives (or an upper bound) is known or when its probability distribution is known. The method is surprisingly simple yet compares favorably with other existing methods by the number of tests required to detect all defectives.

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