元件服从广义四参数BS分布的串联和并联系统寿命的随机比较
Stochastic Comparisons of Parallel and Series Systems with Heterogeneous Generalized Four-Parameter Birnbaum-Saunders Components
凌洁 1刘玉林 1方龙祥2
作者信息
- 1. 安徽商贸职业技术学院,安徽芜湖 241002
- 2. 安徽师范大学,安徽芜湖 241002
- 折叠
摘要
Birnbaum-Saunders疲劳寿命分布可用于描述因疲劳导致失效的产品的寿命特征,该分布已经成为可靠性统计分析中的常用分布之一.首先基于广义三参数BS分布,通过引入位置参数μ,得到广义四参数BS分布GBSⅡ(α,β,μ,k);其次,以服从广义四参数BS分布的独立元件寿命为主体,研究它构成的串联系统和并联系统寿命的随机比较.分析结果可以更好地拟合失效产品的寿命规律.
Abstract
The Birnbaum-Saunders fatigue life distribution can be used to describe the life characteristics of products that fail due to fatigue,and this distribution has become one of the commonly used distributions in reliability statistical analysis.In this paper,based on the generalized three-parameter BS distribution,the generalized four-parameter BS distribution GB-SⅡ(α,β,µ,k)is obtained by introducing positional parameters µ.Secondly,stochastic comparisons of lifetimes of a series system and a parallel system are studied by taking the life of an independent component subject to the generalized four-pa-rameter BS distribution as the main body.The analysis results in this paper can help better fit the life law of failure products.
关键词
广义四参数BS分布/次序统计量/普通随机序/优化序Key words
generalized four-parameter BS distribution/order statistic/usual stochastic order/majorization order引用本文复制引用
基金项目
安徽省高校自然科学研究重大项目(2023AH040319)
安徽省高校中青年教师培养行动学科(专业)带头人培育项目(DTR2023092)
芜湖市科技应用基础研究项目(2022jc36)
安徽商贸职业技术学院技术技能创新服务平台2021年应用研究项目(2021ZDG06)
出版年
2024
NETL
NSTL
万方数据