Approximate Evaluation of Semi-Markov Chain Reliability Models,

Abstract

A property observed in high reliability fault tolerant control systems is the relatively rare occurrence of component failures compared to the frequent occurrence of redundancy management decision events. This property leads to a temporal decomposition of the semi-Markov chain reliability model into two times scales: a slow time scale for failure events, a fast time scale for FDI events. Conditions are described under which a perturbed semi-Markov chain can be approximated by an enlarged Markov process, the parameters of which are derived from the parameters of the semi-Markov chain.

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Document Details

Document Type
Technical Report
Publication Date
Feb 22, 1988
Accession Number
ADA194669

Entities

People

  • Bruce K. Walker
  • Norman M. Wereley

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Human Systems
  • Materials and Manufacturing Processes
  • Space

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Computational Science
  • Decomposition
  • Detection
  • Errors
  • False Alarms
  • Markov Chains
  • Markov Processes
  • Monte Carlo Method
  • Probability
  • Probability Distributions
  • Sequences
  • Simulations
  • Standards
  • Test And Evaluation
  • Warning Systems

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Computational Modeling and Simulation