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Almost Safe Group Testing with Few Tests†

Published online by Cambridge University Press:  12 September 2008

Andrzej Pelc
Andrzej Pelc
Affiliation:
Département d'Informatique, Université du Québec à Hull, C.P. 1250, succ. ‘B’, Hull, Québec J8X 3X7, Canada
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Abstract

In group testing, sets of data undergo tests that reveal if a set contains faulty data. Assuming that data items are faulty with given probability and independently of one another, we investigate small families of tests that enable us to locate correctly all faulty data with probability converging to one as the amount of data grows. Upper and lower bounds on the minimum number of such tests are established for different probability functions, and respective location strategies are constructed.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 3 , Issue 3 , September 1994 , pp. 411 - 419
Copyright
Copyright © Cambridge University Press 1994

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