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An efficient FPRAS type group testing procedure to approximate the number of defectives

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  • Yongxi Cheng

    (Xi’an Jiaotong University)

  • Yinfeng Xu

    (Xi’an Jiaotong University
    State Key Lab for Manufacturing Systems Engineering
    Ministry of Education Key Lab for Process Control & Efficiency Engineering)

Abstract

In many fault detection problems, we want to detect or identify defective items in a sample set by using the minimum number of tests. Group testing is for the scenario where each test is on a subset of items, and tells whether the subset contains at least one defective item or not. Another practically important problem is to estimate the number of defective items in a sample set. In this paper, we present an efficient FPRAS (fully polynomial-time randomized approximation scheme) type group testing procedure to approximate the number of defective items in a sample set.

Suggested Citation

  • Yongxi Cheng & Yinfeng Xu, 2014. "An efficient FPRAS type group testing procedure to approximate the number of defectives," Journal of Combinatorial Optimization, Springer, vol. 27(2), pages 302-314, February.
    • Handle: RePEc:spr:jcomop:v:27:y:2014:i:2:d:10.1007_s10878-012-9516-5
    DOI: 10.1007/s10878-012-9516-5
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    References listed on IDEAS

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    1. Lawrence M. Wein & Stefanos A. Zenios, 1996. "Pooled Testing for HIV Screening: Capturing the Dilution Effect," Operations Research, INFORMS, vol. 44(4), pages 543-569, August.
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    Cited by:

    1. Guiqing Zhang & Yongxi Cheng & Yinfeng Xu, 2018. "A randomized competitive group testing procedure," Journal of Combinatorial Optimization, Springer, vol. 35(3), pages 667-683, April.

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