Reliability evaluation of a system with active redundancy strategy and load-sharing time-dependent failure rate components using Markov process

Due to the high sensitivity in applying electronic and mechanical equipment in functional systems, creating conditions to increase a system's reliability is always critical for system designers. In most of the studies in the reliability area, it is assumed that the failure rates of the system&#...

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Bibliographic Details
Published in:Communications in statistics. Theory and methods 2023-07, Vol.52 (13), p.4514-4533
Main Authors: Sharifi, Mani, Pourkarim Guilani, Pedram, Zaretalab, Arash, Abhari, Abdolreza
Format: Article
Language:English
Subjects:
Computational efficiency
Computing time
Failure rates
Load sharing
Markov analysis
Markov process
Markov processes
Redundancy
Reliability
Reliability analysis
simulation
System reliability
Time dependence
time-dependent failure rates
Weibull distribution
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Summary:Due to the high sensitivity in applying electronic and mechanical equipment in functional systems, creating conditions to increase a system's reliability is always critical for system designers. In most of the studies in the reliability area, it is assumed that the failure rates of the system's components are constant but considering time-dependent failure rates for the components is more realistic and draws the models near to real conditions. This paper presents a framework to use Markov process to obtain the system's reliability under some assumptions. In this regard, we worked on a load-sharing system with identical time-dependent failure rate components and used Markov process to calculate the system reliability. First, we define the requirements for using Markov process, and it is shown that it is possible to use it to calculate the considered system's reliability. Then, a formula is presented to calculate the reliability of the considered system using the Markov process through solving the Chapman Kolmogorov equation, when the components' life has Weibull Distribution. Next, we validate the results of the presented formula using the simulation technique. Finally, we compare the computational time of the proposed model for solving large-size problems with the simulation technique. The results show the superiority of the proposed model in terms of computational time.
ISSN:0361-0926
1532-415X
DOI:10.1080/03610926.2021.1995433