修理工带休假的n中取k(G)冷备可修系统的可靠性分析  

Reliability Analysis of K out of N Cold Standby Repairable System with Repairman Vacation

作　　者：梁小林[1] 莫兰英[1] 唐小伟[1] 

机构地区：[1]长沙理工大学数学与计算科学学院,中国长沙410076

出　　处：《湖南师范大学自然科学学报》2009年第2期22-26,共5页Journal of Natural Science of Hunan Normal University

基　　金：国家自然科学基金资助项目(10871086);湖南省教育厅基金资助项目(07C078)

摘　　要：研究了修理工带有单重休假的n中取k(G)冷储备可修系统.假定部件寿命服从指数分布,修理时间和休假时间都服从一般分布且修复如新,利用补充变量方法和拉普拉斯变换工具,讨论了此系统的首次故障前平均时间,可用度及(0,t]时间内的平均故障次数等可靠性指标.结果表明,本文讨论的模型比以往的模型更具一般性.k out of n cold standby repairable system with single repairman vacation is considered. Assume that the components＇ lifetimes are exponentially distributed, repair times of the components and vacation times of repairman are both generally distributed, and every component is as good as new upon repair completion. By using the supplementary variable technique and the tool of Laplace transform, it is derived that the formulas of some main reliability indices of Laplace transform of the system, containing of MTTFF, the steady state availability, the asymptotic failure frequency. The results of this model are more general than existing results in previous.

关 键 词：可靠性 n中取k 单重休假 补充变量法 

分 类 号：F224[经济管理—国民经济]