Comparisons of series and parallel systems with random and non-random dependent components

摘要：

　　The paper mainly studies stochastic comparisons of series and parallel systems with random N and non-random n components,and the components are independent identically distributions or dependent with an exchangeable copula function.We prove that,under some conditions on the expectation E(N) ? n,the reliability of series system with random N components is better than the non-random n in usual stochastic order.Analogously,the results are reversed for parallel systems with random N and non-random n components.

关键词： series and parallel system reliability usual stochastic order copula Jensen inequality convexity

作者: Li Songchen Li Yupeng Chen Yingyun

作者单位: College of Mathematics and Computational Science,Shenzhen University,Shenzhen Guangdong,518060,China

会议类型: 国内会议

会议名称: 中国运筹学会可靠性分会第九届可靠性学术会议

会议地点: 长沙

会议语种:英文

页码: 176-181

在线出版日期: 2013-04-20（万方平台首次上网日期，不代表论文的发表时间）