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Role of individual component failure in the performance of a 1-out-of-3 cold standby system: A Markov model approach

Authors
  • Hindi, Layla
  • Asker, Hussein K.
Type
Published Article
Journal
Open Engineering
Publisher
De Gruyter Open
Publication Date
Feb 28, 2024
Volume
14
Issue
1
Identifiers
DOI: 10.1515/eng-2022-0517
Source
De Gruyter
Keywords
Disciplines
  • Research Article
License
Green

Abstract

The current work assesses the availability and reliability of repairable 1-out-of-3 cold standby systems, undergoing switching failure, by the Markov models, where a finite set of differential equations govern the repairable system. A numerical approach based on KAOS programming in MATLAB is employed to solve the differential equations. Thus, numerical solutions for the time-dependent availability can then be obtained. The Laplace transform method is used for the reliability model to find the explicit form of the reliability function and the mean time to failure (MTTF) of the system. An availability estimation model for a 1-out-of-3 cold standby system is developed and the main electrical power network, local electricity generator, and domestic electricity generator are studied. Finally, the model is analyzed to illustrate the effect of both failures and repair rates as well as component capacity partitioning on system availability and MTTF.

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