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HYPERGEOMETRIC GROUP TESTING WITH INCOMPLETE INFORMATION

Published online by Cambridge University Press:  06 June 2003

Shaul K. Bar-Lev ,
Wolfgang Stadje  and
Frank A. Van der Duyn Schouten
Shaul K. Bar-Lev
Affiliation:
Department of Statistics, University of Haifa, Haifa 31905, Israel, E-mail: [email protected]
Wolfgang Stadje
Affiliation:
Department of Mathematics and Computer Science, University of Osnabrück, 49069 Osnabrück, Germany, E-mail: [email protected]
Frank A. Van der Duyn Schouten
Affiliation:
Center for Economic Research, Tilburg University, 5000 LE Tilburg, The Netherlands, E-mail: [email protected]
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Abstract

We studied several group testing models with and without processing times. The objective was to choose an optimal group size for pooled screening of a contaminated population so as to collect a prespecified number of good items from it with minimum testing expenditures. The tested groups that were found to be contaminated were used as a new sampling population in later stages of the procedures. Since testing may be time-consuming, we also considered deadlines to be met for the testing process. We derived algorithms and exact results for the underlying distributions, enabling us to find optimal procedures. Several numerical examples are given.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 17 , Issue 3 , July 2003 , pp. 335 - 350
Copyright
© 2003 Cambridge University Press

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