Group testing procedures with incomplete identification and unreliable testing results

Shaul K. Bar-Lev, Wolfgang Stadje, Frank A. Van Der Duyn Schouten

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)281-296
Number of pages16
JournalApplied Stochastic Models in Business and Industry
Issue number3
StatePublished - May 2006


  • Constrained optimization
  • Group testing
  • Incomplete identification
  • Multistage
  • Stopping rule
  • Unreliable

ASJC Scopus subject areas

  • Modeling and Simulation
  • General Business, Management and Accounting
  • Management Science and Operations Research


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