Availability of Periodically Inspected Systems with Markovian Wear and Shocks

Abstract

We analyze a periodically inspected system with hidden failures in which the rate of wear is modulated by a continuous-time Markov chain and additional damage is induced by a Poisson shock process. We derive explicitly the system's lifetime distribution and mean time to failure, as well as the limiting average availability. The main results are illustrated through two numerical examples.

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Document Details

Document Type
Technical Report
Publication Date
Mar 24, 2006
Accession Number
ADA575317

Entities

People

  • Daniel E. Finkelstein
  • Dustin G. Mixon
  • Jeffrey P. Kharoufeh

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Availability
  • Differential Equations
  • Distribution Functions
  • Equations
  • Markov Chains
  • Markov Processes
  • Mathematical Models
  • Mathematics
  • Models
  • Partial Differential Equations
  • Probability
  • Probability Distributions
  • Random Variables
  • Sequences
  • Stochastic Processes
  • Time Intervals

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Logistics and Supply Chain Management.
  • Software Engineering