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Group testing procedures with incomplete identification and unreliable testing results

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  • Shaul K. Bar‐Lev
  • Wolfgang Stadje
  • Frank A. Van der Duyn Schouten

Abstract

We consider multistage group testing with incomplete identification and unreliability features. The objective is to find a cost‐efficient group testing policy to select a prespecified number of non‐defective items from some population in the presence of false‐positive and false‐negative test results, subject to reliability and other constraints. To confirm the status of tested groups, various sequential retesting procedures are suggested. We also extend the model to include the possibility of inconclusive test results. We derive all relevant cost functionals in analytically closed form. Numerical examples are also given. Copyright © 2006 John Wiley & Sons, Ltd.

Suggested Citation

  • Shaul K. Bar‐Lev & Wolfgang Stadje & Frank A. Van der Duyn Schouten, 2006. "Group testing procedures with incomplete identification and unreliable testing results," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 22(3), pages 281-296, May.
    • Handle: RePEc:wly:apsmbi:v:22:y:2006:i:3:p:281-296
    DOI: 10.1002/asmb.616
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    Cited by:

    1. Bar-Lev, Shaul K. & Boxma, Onno & Kleiner, Igor & Perry, David & Stadje, Wolfgang, 2017. "Recycled incomplete identification procedures for blood screening," European Journal of Operational Research, Elsevier, vol. 259(1), pages 330-343.
    2. 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.
    3. Claeys, Dieter & Walraevens, Joris & Laevens, Koenraad & Bruneel, Herwig, 2010. "A queueing model for general group screening policies and dynamic item arrivals," European Journal of Operational Research, Elsevier, vol. 207(2), pages 827-835, December.
    4. 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.
    5. Shaul K. Bar-Lev & Onno Boxma & Wolfgang Stadje & Frank A. Duyn Schouten, 2010. "A Two-Stage Group Testing Model for Infections with Window Periods," Methodology and Computing in Applied Probability, Springer, vol. 12(3), pages 309-322, September.
    6. Bar-Lev, S.K. & Parlar, M. & Perry, D. & Stadje, W. & van der Duyn Schouten, F.A., 2007. "Applications of bulk queues to group testing models with incomplete identification," Other publications TiSEM 0b1bfa5e-c1e6-43ec-9684-1, Tilburg University, School of Economics and Management.
    7. Bar-Lev, Shaul K. & Parlar, Mahmut & Perry, David & Stadje, Wolfgang & Van der Duyn Schouten, Frank A., 2007. "Applications of bulk queues to group testing models with incomplete identification," European Journal of Operational Research, Elsevier, vol. 183(1), pages 226-237, November.

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