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Incomplete identification models for group‐testable items

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  • Shaul K. Bar‐Lev
  • Arnon Boneh
  • David Perry

Abstract

A set of items is called group‐testable if for any subset of these items it is possible to carry out a simultaneous test with two possible outcomes: “success,” indicating that all items in the subset are good, and “failure,” indicating a contaminated subset. In this article we compare two alternatives of purchasing group‐testable items in order to meet a demand of d good items. These two alternatives are (i) purchasing d good items from a 100% quality population with a relatively high cost per item, and (ii) purchasing N items, N>d, from a 100q% (0

Suggested Citation

  • Shaul K. Bar‐Lev & Arnon Boneh & David Perry, 1990. "Incomplete identification models for group‐testable items," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(5), pages 647-659, October.
    • Handle: RePEc:wly:navres:v:37:y:1990:i:5:p:647-659
    DOI: 10.1002/1520-6750(199010)37:53.0.CO;2-6
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    References listed on IDEAS

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    1. H. M. Finucan, 1964. "The Blood Testing Problem," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 13(1), pages 43-50, March.
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    Cited by:

    1. Shaul K. Bar-Lev & Hans Blanc & Onno Boxma & Guido Janssen & David Perry, 2013. "Tandem Queues with Impatient Customers for Blood Screening Procedures," Methodology and Computing in Applied Probability, Springer, vol. 15(2), pages 423-451, June.
    2. Shaul K. Bar‐Lev & Onno Boxma & Andreas Löpker & Wolfgang Stadje & Frank A. Van der Duyn Schouten, 2012. "Group testing procedures with quantitative features and incomplete identification," Naval Research Logistics (NRL), John Wiley & Sons, vol. 59(1), pages 39-51, February.
    3. Shaul K. Bar-Lev & Wolfgang Stadje & Frank A. van der Duyn Schouten, 2004. "Optimal Group Testing with Processing Times and Incomplete Identification," Methodology and Computing in Applied Probability, Springer, vol. 6(1), pages 55-72, March.
    4. Jin-Taek Seong, 2020. "Theoretical Bounds on Performance in Threshold Group Testing Schemes," Mathematics, MDPI, vol. 8(4), pages 1-13, April.

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