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Finding one of D defective elements in some group testing models

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Abstract

In contrast to the classical goal of group testing, we consider the problem of finding m defective elements out of D (m ≤ D). We analyze two different test functions. We give adaptive strategies and present lower bounds for the number of tests and show that our strategy is optimal for m = 1.

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Authors and Affiliations

  1. Department of Mathematics, University of Bielefeld, Bielefeld, Germany

    C. Deppe

  2. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia

    V. S. Lebedev

Authors
  1. R. Ahlswede
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  2. C. Deppe
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  3. V. S. Lebedev
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Corresponding author

Correspondence to C. Deppe.

Additional information

Original Russian Text © R. Ahlswede, C. Deppe, V.S. Lebedev, 2012, published in Problemy Peredachi Informatsii, 2012, Vol. 48, No. 2, pp. 100–109.

Supported in part by the German Research Council (DFG), project no. AH46/6-1 “Advances in Search and Sorting.”

Supported in part by the Russian Foundation for Basic Research, project no. 12-01-00905-a, and German Research Council (DFG), project no. AH46/6-1 “Advances in Search and Sorting.”

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Ahlswede, R., Deppe, C. & Lebedev, V.S. Finding one of D defective elements in some group testing models. Probl Inf Transm 48, 173–181 (2012). https://doi.org/10.1134/S0032946012020068

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  • DOI: https://doi.org/10.1134/S0032946012020068

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