Optimal Repair And Replacement Policy For A System With Multiple Components

Abstract

This thesis formulates and solves a Markov decision problem to find the optimal repaired replacement policy for a system of multiple components whose failure rates are age-dependent. We assume that the failure rate for an old component is higher than for that of a new component. When a component fails, it can either be replaced, making it new, or repaired, making it functional but old. An old component can also be replaced proactively. We formulate the model for a single component as a linear program, and perform parametric analysis on the transition probabilities and system rewards to understand when different policies are optimal. We extend the model to include multiple, independent components, and apply the model to a notional infrastructure network whose performance depends on the state of its network links.

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Document Details

Document Type
Technical Report
Publication Date
Jun 17, 2016
Accession Number
AD1026140

Entities

People

  • Jan-wilhelm Brendecke

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • C4I
  • Engineered Resilient Systems
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Computational Science
  • Computer Programming
  • Computers
  • Flow Network
  • Fuel Systems
  • Infrastructure
  • Linear Programming
  • Mathematical Models
  • Mathematical Programming
  • Operations Research
  • Optimization
  • Parametric Analysis
  • Personal Computers
  • Probability
  • Python Programming Language
  • Resilience
  • Transitions

Readers

  • Computational Modeling and Simulation
  • Mathematical Modeling and Probability Theory.
  • Software Engineering