An Informlation Theory Approach to a Fault Location Problem.

Abstract

The fault location model under investigation consists of an n-component series system known to have exactly one failed component. Component positions in the system are taken as fixed. A component is either working or failed. Components work or fail independently of each other, with their a priori reliabilities taken as given but not necessarily equal. Group testing to locate the failed component is sequential, binary and dichotomous in nature with certain results. The only costs are the number of tests made. The three solution procedures investigated are (1) a dynamic programming formulation, (2) a sequential halving procedure, and (3) a procedure based on information theory. The criteria for optimality are minimization of the expected number of tests required and minimization of the maximum number of tests required. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1971
Accession Number
AD0736534

Entities

People

  • David Russell Campbell

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Computer Programming
  • Dynamic Programming
  • Information Theory
  • Mathematics
  • Reliability

Fields of Study

  • Engineering

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Computer Programming and Software Development.
  • Statistical inference.