Poisson冲击下修理工可多重休假的串联可修系统的可靠性分析  

The Reliability Analysis of Series Repairable System with Multiple Vacations of a Repairman under Poisson Shocks

作　　者：吴清太[1] 李琴[1] 

机构地区：[1]南京农业大学理学院,江苏南京210095

出　　处：《江西师范大学学报（自然科学版）》2012年第4期358-363,共6页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(71173109);中央高校基本科研业务费专项资金(Y0201100265);江苏省高等学校大学生实践创新训练计划(JSS1024)资助项目

摘　　要：利用向量马尔可夫过程方法和拉普拉斯变换工具研究了冲击环境下由2个相同部件、1个修理工组成的串联可修系统,通过引入补充变量获得了系统稳态故障频度、修理工休假概率、稳态可用度等可靠性指标.此外,还通过算例比较了有关参数对稳态可用度的影响,并对系统进行了效益分析.The reliability of a two-similar-unit series repairable system with a repairman who might take multiple vacations under Poisson shocks is analysed. Using the supplementary variable method and vector Markov process theory, some reliability indices, such as the steady-state availability, the repairman vacation probability, the steady-state failure frequency etc., are explicitly obtained. In addition, the parameters＇ effect on the steady-state availability is investigated by numerical comparison and the benefit of the system is analyzed.

关 键 词：Poisson冲击 多重休假 向量马尔可夫过程 可靠性指标 

分 类 号：O211.6[理学—概率论与数理统计]