Improved Adaptive Group Testing Algorithms with Applications to Multiple Access Channels and Dead Sensor Diagnosis

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dc.creatorGoodrich, Michael T.
dc.creatorHirschberg, Daniel S.
dc.date2009-05-12
dc.date.accessioned2026-07-07T13:14:08Z
dc.date.available2026-07-07T13:14:08Z
dc.descriptionWe study group-testing algorithms for resolving broadcast conflicts on a multiple access channel (MAC) and for identifying the dead sensors in a mobile ad hoc wireless network. In group-testing algorithms, we are asked to identify all the defective items in a set of items when we can test arbitrary subsets of items. In the standard group-testing problem, the result of a test is binary--the tested subset either contains defective items or not. In the more generalized versions we study in this paper, the result of each test is non-binary. For example, it may indicate whether the number of defective items contained in the tested subset is zero, one, or at least two. We give adaptive algorithms that are provably more efficient than previous group testing algorithms. We also show how our algorithms can be applied to solve conflict resolution on a MAC and dead sensor diagnosis. Dead sensor diagnosis poses an interesting challenge compared to MAC resolution, because dead sensors are not locally detectable, nor are they themselves active participants.
dc.descriptionExpanded version of a paper appearing in ACM Symposium on Parallelism in Algorithms and Architectures (SPAA), and preliminary version of paper appearing in Journal of Combinatorial Optimization
dc.identifierhttps://arxiv.org/abs/0905.1906
dc.identifierhttp://arxiv.org/abs/0905.1906
dc.identifierJournal of Combinatorial Optimization, Volume 15, Number 1, January, 2008
dc.identifierdoi:10.1007/s10878-007-9087-z
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230118
dc.subjectData Structures and Algorithms
dc.subjectInformation Theory
dc.titleImproved Adaptive Group Testing Algorithms with Applications to Multiple Access Channels and Dead Sensor Diagnosis
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