Determining Optimal Machine Replacement Events with Periodic Inspection Intervals

Abstract

This research will examine the optimal maintenance and replacement policies for a generic machine with periodic inspection intervals. The considered reliability models consist of a single machine that can fail during operation or else may be found to be inoperative during regularly-scheduled maintenance inspections. A distinction will be made between spontaneously-occurring failures during operation and those that are discovered during inspections. Since the elapsed time between inspections is constant, the resulting stochastic reliability process becomes non-Markovian, and thus a Semi-Markov Decision Process (SMDP) framework must be employed in order to determine the cost-optimal stationary policy consisting of repair and replace decisions and inspection intervals. Using the methodology developed here, a system controller will be able to readily develop an inspection-based strategy to optimize the overall costs of maintaining systems with a variety of failure characteristics over a finite time horizon.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 2013
Accession Number
ADA582480

Entities

People

  • Theodore C. Shiveley

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Computer Programming
  • Construction
  • Dynamic Programming
  • Failure Mode And Effect Analysis
  • Governments
  • Maintenance
  • Markov Chains
  • Markov Processes
  • Probability
  • Probability Distributions
  • Reliability
  • Simulations
  • Spreadsheet Software
  • United States
  • United States Government

Fields of Study

  • Engineering

Readers

  • Facility/Structural Engineering.
  • Mathematical Modeling and Probability Theory.
  • Regression Analysis.