How Errors in Component Reliability Affect System Reliability.

Abstract

This paper studies how sampling variation in component reliability estimates affects the computation of system reliability that uses these estimates as input. Results show that relative bias in system reliability grows quadratically with the number of components for which each component reliability estimate is used whereas the corresponding coefficient of variation grows linearly with this number of components. If these components are in parallel they lead to an understatement of system reliability. In series, they lead to an overstatement. The paper describes resampling schemes that eliminate bias without increasing the dominant variance term. (Keywords: operations research; systems analysis; statistical accuracy).

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1987
Accession Number
ADA186264

Entities

People

  • George S. Fishman

Organizations

  • University of North Carolina at Chapel Hill

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Algorithms
  • Binomials
  • Coefficients
  • Computations
  • Errors
  • Estimators
  • Flow Network
  • Intervals
  • Monte Carlo Method
  • North Carolina
  • Operations Research
  • Probability
  • Reliability
  • Sampling
  • United States

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Regression Analysis.
  • Software Engineering