Explicit Results for Wear Processes in a Markovian Environment

Abstract

We consider the reliability of a single-unit system whose cumulative damage over time is a continuous wear process {Chi(tau): tau is greater than or equal to 0} that depends on an external environment process {Zeta(tau):tau is greater than or equal to 0}. We explicitly derive the failure time distribution and moments in terms of Laplace-Stieltjes transforms by analyzing the Markov additive process {(Chi(tau), Zeta(tau)): tau is greater than or equal to 0} and demonstrate its applicability on an example problem.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2003
Accession Number
ADA596320

Entities

People

  • Jeffrey P. Kharoufeh

Organizations

  • Air Force Institute of Technology

Tags

DTIC Thesaurus Topics

  • Additives (Chemicals)
  • Air Force
  • Algorithms
  • Environment
  • Markov Processes
  • Mathematical Models
  • Models
  • Operations Research
  • Probabilistic Models
  • Probability
  • Probability Distributions
  • Random Variables
  • Reliability
  • Simulations
  • Stochastic Processes
  • Time Intervals
  • Two Dimensional

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  • Logistics and Supply Chain Management.
  • Mathematical Modeling and Probability Theory.