多状态可靠性系统动态signature及其剩余寿命分析

doi:10.12005/orms.2021.0277

运筹与管理 ›› 2021, Vol. 30 ›› Issue (9): 38-42.DOI: 10.12005/orms.2021.0277

多状态可靠性系统动态signature及其剩余寿命分析

徐凡启, 贾旭杰, 松雪莹

中央民族大学理学院统计学系,北京 100081

收稿日期:2018-11-02 出版日期:2021-09-25
作者简介:徐凡启(1993-) 男,研究生,研究方向:数理统计、系统可靠性;贾旭杰(1982-) 女,教授,研究方向:数理统计、系统可靠性; 苏傲雪(1985-) 女,讲师,研究方向:数理统计; 松雪莹(1993-)女,研究生,研究方向:数理统计、系统可靠性。
基金资助:
国家自然科学基金资助项目(71571198,71971228)

Analysis of Dynamic Signature and Residual Lifetime for Multi-state Reliability Systems

XU Fan-qi, JIA Xu-jie, SONG Xue-ying

College of Science, Minzu University of China, Beijing 100081, China

Received:2018-11-02 Online:2021-09-25

摘要/Abstract

摘要： 系统signature是分析系统可靠性的一个强有力的工具。本文研究了多状态系统的动态signature。Signature概念被拓展到多维的情形,并将其应用于两状态元件下多态关联系统的分析,得到系统在每一状态下的联合生存函数的表达式,探究了系统在时刻的动态signature,为处于工作状态的多状态系统在时刻t接受检查,发现其处于l(t)状态并且恰好已发生了q(t)次元件失效,分别给出了两状态元件多态关联系统动态signature及其剩余寿命的表达式。

关键词: 系统可靠性, Signature, 动态signature, 多状态系统, 剩余寿命

Abstract: The notion of signature is a basic concept and a powerful tool in the analysis of reliability systems. In this paper, the concept of bivariate signature for a 3-state system is generalized to a multivariate one, which can be used for evaluation of multi-state systems with binary components. With such a generalization, a representation for the joint survival function of the system lifetime in every specific state is obtained. Furthermore, the dynamic signature has been explored on the condition that a working used multi-state system inspected at time t and it is noted that the system is now in l(t) state and precisely q(t) failures have occurred. As a result, the dynamic signature of a multi-state system that consists of binary components at time t is given as well as its expression of the residual lifetime. In summary.

Key words: system reliability, signature, dynamic signature, multi-state system, residual lifetime

中图分类号:

213.2

徐凡启, 贾旭杰, 松雪莹. 多状态可靠性系统动态signature及其剩余寿命分析[J]. 运筹与管理, 2021, 30(9): 38-42.

XU Fan-qi, JIA Xu-jie, SONG Xue-ying. Analysis of Dynamic Signature and Residual Lifetime for Multi-state Reliability Systems[J]. Operations Research and Management Science, 2021, 30(9): 38-42.

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多状态可靠性系统动态signature及其剩余寿命分析

Analysis of Dynamic Signature and Residual Lifetime for Multi-state Reliability Systems

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