Group Testing Models with Processing Times and Incomplete Identification

S.K. Bar-Lev, W. Stadje, F.A. van der Duyn Schouten

Research output: Working paperDiscussion paperOther research output

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Abstract

We consider the group testing problem for a finite population of possibly defective items with the objective of sampling a prespecified demanded number of nondefective items at minimum cost.Group testing means that items can be pooled and tested together; if the group comes out clean, all items in it are nondefective, while a "contaminated" group is scrapped.Every test takes a random amount of time and a given deadline has to be met.If the prescribed number of nondefective items is not reached, the demand has to be satisfied at a higher (penalty) cost.We derive explicit formulas for the distributions underlying the cost functionals of this model.It is shown in numerical examples that these results can be used to determine the optimal group size.
Original languageEnglish
Place of PublicationTilburg
PublisherOperations research
Number of pages21
Volume2002-75
Publication statusPublished - 2002

Publication series

NameCentER Discussion Paper
Volume2002-75

Fingerprint

Group Testing
Costs
Finite Population
Deadline
Penalty
Explicit Formula
Model
Numerical Examples

Keywords

  • testing
  • sampling

Cite this

Bar-Lev, S. K., Stadje, W., & van der Duyn Schouten, F. A. (2002). Group Testing Models with Processing Times and Incomplete Identification. (CentER Discussion Paper; Vol. 2002-75). Tilburg: Operations research.
Bar-Lev, S.K. ; Stadje, W. ; van der Duyn Schouten, F.A. / Group Testing Models with Processing Times and Incomplete Identification. Tilburg : Operations research, 2002. (CentER Discussion Paper).
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Bar-Lev, SK, Stadje, W & van der Duyn Schouten, FA 2002 'Group Testing Models with Processing Times and Incomplete Identification' CentER Discussion Paper, vol. 2002-75, Operations research, Tilburg.

Group Testing Models with Processing Times and Incomplete Identification. / Bar-Lev, S.K.; Stadje, W.; van der Duyn Schouten, F.A.

Tilburg : Operations research, 2002. (CentER Discussion Paper; Vol. 2002-75).

Research output: Working paperDiscussion paperOther research output

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N2 - We consider the group testing problem for a finite population of possibly defective items with the objective of sampling a prespecified demanded number of nondefective items at minimum cost.Group testing means that items can be pooled and tested together; if the group comes out clean, all items in it are nondefective, while a "contaminated" group is scrapped.Every test takes a random amount of time and a given deadline has to be met.If the prescribed number of nondefective items is not reached, the demand has to be satisfied at a higher (penalty) cost.We derive explicit formulas for the distributions underlying the cost functionals of this model.It is shown in numerical examples that these results can be used to determine the optimal group size.

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Bar-Lev SK, Stadje W, van der Duyn Schouten FA. Group Testing Models with Processing Times and Incomplete Identification. Tilburg: Operations research. 2002. (CentER Discussion Paper).