An efficient FPRAS type group testing procedure to approximate the number of defectives

  • Authors:
  • Yongxi Cheng;Yinfeng Xu

  • Affiliations:
  • School of Management, Xi'an Jiaotong University, Xi'an, China 710049;School of Management, Xi'an Jiaotong University, Xi'an, China 710049 and State Key Lab for Manufacturing Systems Engineering, Xi'an, China 710049 and Ministry of Education Key Lab for Process Cont ...

  • Venue:
  • Journal of Combinatorial Optimization
  • Year:
  • 2014

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Abstract

In many fault detection problems, we want to detect or identify defective items in a sample set by using the minimum number of tests. Group testing is for the scenario where each test is on a subset of items, and tells whether the subset contains at least one defective item or not. Another practically important problem is to estimate the number of defective items in a sample set. In this paper, we present an efficient FPRAS (fully polynomial-time randomized approximation scheme) type group testing procedure to approximate the number of defective items in a sample set.