Max-throughput for (conservative) k-of-n testing

  • Authors:
  • Lisa Hellerstein;Özgür Özkan;Linda Sellie

  • Affiliations:
  • Department of Computer Science and Engineering, Polytechnic Institute of NYU, Brooklyn, NY;Department of Computer Science and Engineering, Polytechnic Institute of NYU, Brooklyn, NY;Department of Computer Science and Engineering, Polytechnic Institute of NYU, Brooklyn, NY

  • Venue:
  • ISAAC'11 Proceedings of the 22nd international conference on Algorithms and Computation
  • Year:
  • 2011

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Abstract

We define a variant of k -of-n testing that we call conservative k -of-n testing. We present a polynomial-time, combinatorial algorithm for maximizing the throughput of conservative k -of-n testing, in a parallel setting. This extends previous work of Kodialam and Condon et al. on the parallel pipelined filter ordering problem, which is the special case where k =1 (or k =n ) [1,2,3]. We also consider the problem of maximizing throughput for standard k -of-n testing, and describe a polynomial-time algorithm for it based on the ellipsoid method.