A Continuity Theorem and Some Counterexamples for the Theory of Maintained Systems.

Abstract

The reliability of maintained systems is considered. A continuity theorem is presented which states that the stochastic behavior of a maintained system depends continuously on the stochastic behavior of its components. Examples of maintained systems with IFR component lifetimes and exponential repair times are presented for which time until first system failure is not NBU. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1976
Accession Number
ADA041027

Entities

People

  • Douglas R. Miller

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Availability
  • Continuity
  • Convergence
  • Markov Processes
  • Military Research
  • Missouri
  • Probability
  • Random Variables
  • Reliability
  • Security
  • Sequences
  • Stochastic Processes
  • Topology
  • Transitions
  • United States
  • Weak Convergence

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  • Facility/Structural Engineering.
  • Mathematical Modeling and Probability Theory.
  • Statistical inference.