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失效单调关联系统中可存活元件的剩余寿命的混合表示
引用本文:温九红,张正成,贾彬霞.失效单调关联系统中可存活元件的剩余寿命的混合表示[J].数学研究及应用,2018,38(2):207-220.
作者姓名:温九红  张正成  贾彬霞
作者单位:兰州交通大学数理学院, 甘肃 兰州 730070,兰州交通大学数理学院, 甘肃 兰州 730070,兰州交通大学数理学院, 甘肃 兰州 730070
基金项目:国家自然科学基金(Grant Nos.11161028; 71361020).
摘    要:本文中研究的是由$n$个独立同分布元件构成的单调关联系统,当该单调关联系统失效时得到了系统中可存活元件的剩余寿命的可靠性函数的混合表示.基于signature的概念,对两个系统的剩余寿命进行了随机比较.

关 键 词:单调关联系统    剩余寿命    随机序    signature    失效递增率
收稿时间:2017/2/28 0:00:00
修稿时间:2017/12/16 0:00:00

Mixture Representation of Residual Lifetimes of Living Components in Failed Coherent Systems
Jiuhong WEN,Zhengcheng ZHANG and Binxia JIA.Mixture Representation of Residual Lifetimes of Living Components in Failed Coherent Systems[J].Journal of Mathematical Research with Applications,2018,38(2):207-220.
Authors:Jiuhong WEN  Zhengcheng ZHANG and Binxia JIA
Institution:School of Mathematics, Lanzhou Jiaotong University, Gansu 730070, P. R. China,School of Mathematics, Lanzhou Jiaotong University, Gansu 730070, P. R. China and School of Mathematics, Lanzhou Jiaotong University, Gansu 730070, P. R. China
Abstract:In this paper we consider a coherent system consisting of $n$ components with independent and identically distributed components. We obtain a mixture representation of the reliability function of the residual lifetime of living components of a coherent system when the system has failed. Based on the concept of signature, stochastic comparisons on the residual life of two systems with stochastically ordered signatures are conducted.
Keywords:Coherent system  residual lifetime  stochastic ordering  signature  increasing failure rate
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