Stability and Numerical Analysis of a Standby System

doi:10.1007/s12204-020-2217-9

J Shanghai Jiaotong Univ Sci ›› 2020, Vol. 25 ›› Issue (6): 769-778.doi: 10.1007/s12204-020-2217-9

Stability and Numerical Analysis of a Standby System

QIAO Xing (乔兴), MA Dan (马丹), YAO Xuliang (姚绪梁), FENG Baolin (凤宝林)

(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)

出版日期:2020-12-28 发布日期:2020-11-26
通讯作者: YAO Xuliang (姚绪梁) E-mail:yaoxuliang@hrbeu.edu.cn

Stability and Numerical Analysis of a Standby System

QIAO Xing (乔兴), MA Dan (马丹), YAO Xuliang (姚绪梁), FENG Baolin (凤宝林)

(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:2020-12-28 Published:2020-11-26
Contact: YAO Xuliang (姚绪梁) E-mail:yaoxuliang@hrbeu.edu.cn

摘要/Abstract

摘要： 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.

关键词: stability, reliability index, co-final theory, numerical analysis

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

中图分类号:

O 231

QIAO Xing, MA Dan, YAO Xuliang, FENG Baolin. Stability and Numerical Analysis of a Standby System[J]. J Shanghai Jiaotong Univ Sci, 2020, 25(6): 769-778.

参考文献 16

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Stability and Numerical Analysis of a Standby System

Stability and Numerical Analysis of a Standby System

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