具有多重延误休假的k out of n(G)冷备可修系统  

K out of n cold standby repairable system with multiple delay vacation

作　　者：莫兰英[1] 梁小林[2] 

机构地区：[1]广东培正学院人文学科与基础教学部,广东广州510830 [2]长沙理工大学数学与计算科学学院,湖南长沙410076

出　　处：《广州大学学报（自然科学版）》2011年第1期8-11,共4页Journal of Guangzhou University:Natural Science Edition

基　　金：国家自然科学基金项目(10871086);湖南省教育厅基金项目(07c078)资助

摘　　要：研究了修理工具有多重延误休假的新型k out of n(G)冷储备可修系统.假定部件寿命、修理工延误休假时间服从指数分布,部件修理时间、修理工休假时间服从一般分布.利用补充变量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,文中讨论的模型比以往的模型更具一般性.This paper considers k out of n cold standby repairable system with multiple delay vacations.Assuming that the components＇ lifetime and the delay vacation time of the repairman are exponentially distributed,and repair time of the components and vacation time of repairman are both generally distributed.By using the supplementary variable technique and the tool of Laplace transform,we derive 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 previous results.

关 键 词：可靠性 n中取k 多重延误休假 补充变量法 

分 类 号：O213.2[理学—概率论与数理统计] O226[理学—数学]