Reliability and Residual Life of Cold Standby Systems

In this study, we conduct a reliability characterisation study of cold standby systems. Utilising synthetic rectangular formulas and cold preparedness equivalent models for cold standby systems, we analyse the lifetimes of several typical configurations, including series, parallel, and k/n:m voting...

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Bibliographic Details
Published in:Mathematics (Basel) 2024-05, Vol.12 (10), p.1540
Main Authors: Liu, Longlong, Ai, Xiaochuan, Wu, Jun
Format: Article
Language:English
Subjects:
Analysis
cold standby system
Design specifications
Equivalence
equivalent model
exponential distribution
Failure
Failure rates
Methods
Monte Carlo method
Monte Carlo simulation
Numerical analysis
Numerical methods
Numerical models
Probability distribution functions
Random variables
Reliability
reliability function
residual lifetime function
Useful life
Voting
Voting systems
Citations: Items that this one cites
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Summary:In this study, we conduct a reliability characterisation study of cold standby systems. Utilising synthetic rectangular formulas and cold preparedness equivalent models for cold standby systems, we analyse the lifetimes of several typical configurations, including series, parallel, and k/n:m voting systems. This study proposes system equivalent models for various types of cold standby systems, all composed of components that follow the same exponential distribution. We use the equivalent model to determine the optimal timing for the use of cold spares and derive the reliability function and residual lifetime function for each type of system. To demonstrate the validity of our model, the Monte Carlo simulation is strategically designed based on the system failure rate function. The experimental results are then compared with those obtained from the numerical model, highlighting that the numerical method incurs a lower time cost.
ISSN:2227-7390
2227-7390
DOI:10.3390/math12101540