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Maximum Entropy Approach to Reliability of Multi-Component Systems with Non-Repairable or Repairable Components.

Yi-Mu Du1, Jin-Fu Chen1,2, Xuefei Guan1

  • 1Graduate School of China Academy of Engineering Physics, Beijing 100193, China.

Entropy (Basel, Switzerland)
|April 3, 2021
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Summary
This summary is machine-generated.

This study introduces a novel maximum entropy approach to model system degradation and recovery. It enhances reliability assessment by analyzing component-level processes in various systems.

Keywords:
complex networkhazard rate functionmaximum entropy principlestatistical inference

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Area of Science:

  • Multidisciplinary science
  • Systems engineering
  • Reliability engineering

Background:

  • Degradation and recovery are multi-scale phenomena crucial for system aging.
  • Understanding component-level interactions is key to system reliability evaluation.

Purpose of the Study:

  • To propose a novel approach for modeling and inferring degradation and recovery processes at the component level.
  • To apply this approach to both repairable and non-repairable systems.
  • To integrate network connectivity and statistical moments for hazard and recovery rate inference.

Main Methods:

  • Utilizing the principle of maximum entropy for modeling.
  • Incorporating reliability block diagrams to represent system structure.
  • Integrating network connectivity and statistical moments for rate inference.

Main Results:

  • A unified approach to model degradation and recovery processes is developed.
  • The method is successfully applied to repairable and non-repairable systems.
  • Numerical examples demonstrate the effectiveness of the proposed approach.

Conclusions:

  • The proposed maximum entropy approach provides a robust framework for analyzing component-level degradation and recovery.
  • This method enhances the evaluation of system reliability by considering multi-scale phenomena.
  • The integration of network structure and statistical properties offers a powerful tool for reliability engineering.