Mathematical Aspects of Reliability-Centered Maintenance

Abstract

The main purpose of this appendix is to provide a mathematical description of the Reliability-Centered Maintenance Program. Although a mathematical formulation may not make it any easier to implement this program, by placing it in a broader context we hope to emphasize the generality of its underlying principles and encourage their application to complex systems other than commercial air fleet maintenance operations. Another purpose of this appendix is to provide a brief but coherent introduction to those aspects of the theory of probability necessary for an understanding of the theoretical basis for the Reliability-Centered Maintenance Program. This account differs appreciably from the presentations usually found in textbooks on reliability theory: standard treatises concentrate on the functions associated with reliability and on their analytical manipulation. Here we focus on the underlying sets of items and events and on their mutual relationships. There are two principal reasons for this difference of approach, a difference which is in large measure fundamental to the philosophy underlying Reliability-Centered Maintenance.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1977
Accession Number
ADA066580

Entities

People

  • H. L. Resnikoff

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Aircrafts
  • Airframes
  • Commercial Aircraft
  • Failure Mode And Effect Analysis
  • Information Processing
  • Information Science
  • Jet Engines
  • Maintenance
  • Mathematical Analysis
  • Military Aircraft
  • Probability Distributions
  • Random Variables
  • Statistical Analysis
  • Statistical Distributions
  • Test And Evaluation
  • Turbines

Fields of Study

  • Engineering

Readers

  • Logistics and Supply Chain Management.
  • Theoretical Analysis.