Group testing procedures with incomplete identification and unreliable testing results

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

doi:10.1002/asmb.616

Group testing procedures with incomplete identification and unreliable testing results

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

Department of Statistics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	281-296
Number of pages	16
Journal	Applied Stochastic Models in Business and Industry
Volume	22
Issue number	3
DOIs	https://doi.org/10.1002/asmb.616
State	Published - May 2006

Keywords

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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10.1002/asmb.616

Cite this

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KW - Constrained optimization

KW - Group testing

KW - Incomplete identification

KW - Multistage

KW - Stopping rule

KW - Unreliable

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Group testing procedures with incomplete identification and unreliable testing results

Abstract

Keywords

ASJC Scopus subject areas

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