Reliability analysis for dependent stress-strength reliability of multi-state system using improved generalized survival signature

Reliability analysis for dependent stress-strength reliability of multi-state system using improved generalized survival signature
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使用改进的广义生存特征对多状态系统的依赖应力强度可靠性进行可靠性分析

DOI:
10.1016/j.cie.2022.107941
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发表时间:
2022-01
期刊:
Computers & Industrial Engineering
影响因子:
--
通讯作者:
Mu He
Mu He
中科院分区:
其他
文献类型:
--
作者:
Xuchao Bai;Xiangrong Li;Narayanaswamy Balakrishnan;Mu He

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本文提出了一种新的多状态应力-强度模型,其中系统由多个类型的多状态部件组成。每种类型的部件都有两个独立的强度,并在工作环境中承受两个独立的应力。利用改进的广义生存特征,推导了不同类型的构件承受不同的相依应力对时,多态系统的应力-强度可靠度的推论。假定应力(强度)变量为威布尔变量和指数变量,利用Gumbel Copula方法得到了不同状态下多状态系统可靠度的精确表达式。然后采用伪极大似然估计法计算应力-强度可靠度的相关参数和极大似然估计。此外,还给出了应力-强度可靠性的渐近可信区间、参数Bootstrap可信区间和基于变换的可信区间。最后给出了蒙特卡罗模拟和实际数据分析。
In this paper, a new multi-state stress-strength model is introduced, where the system consists of multi-type multi-state components. Each type of components has two dependent strengths and is subjected to two dependent stresses in working environment. Using the proposed improved generalized survival signature, the inferences for stress-strength reliability of the multi-state system are deduced in the case that different types of components are exposed to different pairs of dependent stresses. By assuming the stress(strerngth) variables are Weibull and exponential variables, the exact expressions of the multi-state system reliability are obtained by using Gumbel copula in different states. Then the dependence parameters and maximum likelihood estimation of the stress-strength reliability are computed by adopting the pseudo maximum likelihood estimation method. In addition, the asymptotic confidence interval, parametric bootstrap confidence interval and transformation-based confidence interval for the stress-strength reliability are given. Finally, the Monte-Carlo simulation and a real data analysis are provided for illustrative purpose.
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