Semi-Markov Models for Degradation-Based Reliability

Abstract

This article presents hybrid, degradation-based reliability models for a single-unit system whose degradation is driven by a semi- Markov environment. The primary objective is to develop a mathematical framework and associated computational techniques that unite environmental data and stochastic failure models to assess the current or future health of the system. By employing phase-type distributions, it is possible to construct a surrogate environment process that is amenable to analysis by exact Markovian techniques to obtain reliability estimates. The viability of the proposed approach and the quality of the approximations are demonstrated in two numerical experiments. The numerical results indicate that remarkably accurate lifetime distribution and moment approximations are attainable.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2010
Accession Number
ADA522905

Entities

People

  • Christopher J. Solo
  • Jeffrey P. Kharoufeh
  • M. Yasin Ulukus

Organizations

  • United States Air Force Academy

Tags

Communities of Interest

  • Air Platforms
  • Biomedical
  • C4I

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Engineering
  • Equations
  • Industrial Engineering
  • Markov Chains
  • Markov Models
  • Markov Processes
  • Mathematical Models
  • Models
  • Operations Research
  • Probabilistic Models
  • Probability
  • Random Variables
  • Reliability
  • Statistical Analysis
  • Stochastic Processes

Fields of Study

  • Engineering

Readers

  • Statistical inference.
  • Systems Analysis and Design