A Zig-Zag Approach for Competitive Group Testing

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A Zig-Zag Approach for Competitive Group Testing

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title A Zig-Zag Approach for Competitive Group Testing
contributor.author Cheng, Yongxi
contributor.author Du, Dingzhu
contributor.author Xu, Yinfeng
contributor.ISNI 0000 0001 0891 4462 (Du, D)
contributor.LCNA 88207689 (Du, D)
contributor.VIAF 288884264 (Du, D)
description.abstract In many fault-detection problems, we want to identify defective items from a set of n items using the minimum number of tests. Group testing is a scenario in which each test is on a subset of items and determines whether the subset contains at least one defective item. In practice, the number d of defective items is often unknown in advance. In this paper, we present a new algorithm for the above group testing problem and prove that it has very good performance guarantee. More specifically, the number of tests used by the new algorithm is bounded from above by d log(n/d) + 3d + O(log² d). The new algorithm is designed based on a zig-zag approach that has not been studied before and is intuitive and easy to implement. When 0 < d < ρ₀ where ρ₀ = 1 − 4/e² = 0.45..., which holds for most practical applications, our new algorithm has better performance guarantee than any previous best result. Computational results show that the new algorithm has very good practical performances.
description.sponsorship National Natural Science Foundation of China (Grants 11101326, 71071123), and the Program for Changjiang Scholars and Innovative Research Team in University (IRT1173).
identifier.citation Cheng, Yongxi, Ding-Zhu Du, and Yinfeng Xu. 2014. "A Zig-Zag Approach for Competitive Group Testing." Informs Journal on Computing 26(4): 677-689.
identifier.issn 1091-9856
identifier.uri http://hdl.handle.net/10735.1/4210
identifier.volume 26
identifier.issue 4
subject Algorithms
subject Group testing
subject Fault-detection problems
date.created 2014-04-23
relation.uri http://dx.doi.org/10.1287/ijoc.2014.0591
rights ©2014 INFORMS
source.journal INFORMS Journal on Computing

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