Reliability and Residual Life of Cold Standby Systems

Longlong Liu, Xiaochuan Ai () and Jun Wu
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Longlong Liu: Department of Basic Courses, Naval University of Engineering, Wuhan 430033, China
Xiaochuan Ai: Department of Basic Courses, Naval University of Engineering, Wuhan 430033, China
Jun Wu: School of Electronic Engineering, Naval University of Engineering, Wuhan 430033, China

Mathematics, 2024, vol. 12, issue 10, 1-22

Abstract: 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.

Keywords: cold standby system; equivalent model; reliability function; residual lifetime function; exponential distribution; Monte Carlo simulation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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