Reliability in a Random Environment.

Abstract

Correlations in the failures of subsystems or components may arise when they share a common, random environment. It is shown that a natural tool for calculating the reliability of such systems is the characteristic functional of the random hazard rate, h(t). Some general results for the reliability of series and parallel systems in terms of the characteristic functional of the hazard rate are derived and applied to a number of models of random environments. The applications include random hazard functions arising from 1) non-fatal shocks of random amplitudes, 2) a Markovian, Gamma-marginal stochastic process, 3) system stress related to unrepaired damage from incoming rounds, and 4) impulsive and accumulated heat stresses from a laser battle.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1986
Accession Number
ADA174320

Entities

People

  • Edward B. Rockower

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Amplitude
  • Automobiles
  • Delta Functions
  • Differential Equations
  • Environment
  • Equations
  • Lasers
  • Markov Processes
  • Naval Warfare
  • New York
  • Operations Research
  • Probability
  • Random Variables
  • Reliability
  • Security
  • Shot Noise
  • Stochastic Processes

Readers

  • Aviation Safety Risk Assessment.
  • Software Engineering
  • Statistical inference.

Technology Areas

  • Directed Energy