J Shanghai Jiaotong Univ Sci

Journal of Shanghai Jiaotong University(Science) >

2020 , Vol. 25 >Issue 6: 769 - 778

DOI: https://doi.org/10.1007/s12204-020-2217-9

Stability and Numerical Analysis of a Standby System

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  • (1. Department of Mathematics, Daqing Normal University, Daqing 163712, Heilongjiang, China;
    2. College of Automation, Harbin Engineering University, Harbin 150001, China;
    3. Department of Mathematics, Mudanjiang Normal University, Mudanjiang 157011, Heilongjiang, China)

Online published: 2020-11-26

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Abstract

A model for repairable standby parallel system consisting of two identical components with common cause failure (CCF) and human error is introduced in this article by a semigroup approach. The stability of the system is verified by the pure analysis technique, the co-final related theory and functional analysis method. It is discussed that four different reliability indices of the studied model are consistent with each other both analytically and numerically. The simulations and comparisons demonstrate the validity of the proposed technique.

Key words：  stability; reliability index; co-final theory; numerical analysis

Cite this article

QIAO Xing, MA Dan, YAO Xuliang, FENG Baolin . Stability and Numerical Analysis of a Standby System[J]. Journal of Shanghai Jiaotong University(Science), 2020 , 25(6) : 769 -778 . DOI: 10.1007/s12204-020-2217-9

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