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Entropy-based Optimal Group-testing Procedures

Published online by Cambridge University Press:  27 July 2009

Pinyuen Chen ,
Lifang Hsu  and
Miltons Sobel
Pinyuen Chen
Affiliation:
Department of MathematicsSyracuse University, Syracuse, New York 13244
Lifang Hsu
Affiliation:
Department of Mathematics SUNY at Oswego Oswego, New York 13126
Miltons Sobel
Affiliation:
Department of MathematicsUniversity of California at Santa Barbara, Santa Barbara, California 93106
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Abstract

Two procedures for the group-testing problem based on the Shannon-entropy criteria are proposed. The model considered is that the N units are realizations of N Bernoulli independent and identically distributed (i.i.d.) chance variables with common, known probability q of an arbitrary unit being good and p =1 – q of it being defective. Both the algorithms introduced have low design complexity and yet provide near-optimal result. For N ≤ 5, one of the procedures introduced is optimal for selected values of q.

Type
Articles
Information
Probability in the Engineering and Informational Sciences , Volume 1 , Issue 4 , October 1987 , pp. 497 - 509
Copyright
Copyright © Cambridge University Press 1987

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References

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