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inria-00100040, version 1

The worst-case chip problem

Laurent Alonso () a1, Philippe Chassaing 2, Edward M. Reingold b, René Schott 23

Information Processing Letters 89, 6 (2004) 303-308

Abstract: In the system level, adaptive fault diagnosis problem we must determine which components (chips) in a system are defective, assuming the majority of them are good. Chips are tested as follows: Take two chips, say x and y, and have x report whether y is good or bad. If x is good, the answer is correct, but if x is bad, the answer is unreliable. One way to identify all defective chips is to identify a single good chip which can then be used to diagnose the other chips; the chip problem is to identify a single good chip. We show that the chip problem is closely related to a modified majority problem in the worst case and use this fact to obtain upper and lower bounds on algorithms for the chip problem.

  • a –  INRIA
  • b –  DCS, UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN
  • 1:  ISA (INRIA Lorraine - LORIA)
  • INRIA – CNRS : UMR7503 – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL)
  • 2:  Institut Elie Cartan Nancy (IECN)
  • CNRS : UMR7502 – INRIA – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL)
  • 3:  Laboratoire Lorrain de Recherche en Informatique et ses Applications (LORIA)
  • INRIA – CNRS : UMR7503 – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL)
  • Domain : Computer Science/Other
  • Keywords : fault diagnosis – analysis of algorithms – chip problem – majority problem || analyse d'algorithme – majorité – diagnostique
  • Internal note : A04-R-306 || alonso04a
  • Comment : Article dans revue scientifique avec comité de lecture. internationale.
 
  • inria-00100040, version 1
  • oai:hal.inria.fr:inria-00100040
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  • Submitted on: Tuesday, 26 September 2006 10:13:40
  • Updated on: Monday, 11 June 2007 15:26:07