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具有多重延误休假的k out of n(G)冷备可修系统
引用本文:莫兰英,梁小林.具有多重延误休假的k out of n(G)冷备可修系统[J].广州大学学报(自然科学版),2011,10(1):8-11.
作者姓名:莫兰英  梁小林
作者单位: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
基金项目:国家自然科学基金项目,湖南省教育厅基金项目
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...

关 键 词:可靠性  n中取k  多重延误休假  补充变量法

K out of n cold standby repairable system with multiple delay vacation
MO Lan-ying,LIANG Xiao-lin.K out of n cold standby repairable system with multiple delay vacation[J].Journal og Guangzhou University:Natural Science Edition,2011,10(1):8-11.
Authors:MO Lan-ying  LIANG Xiao-lin
Institution:1.Department of Humanity and Fundamental Teaching,Guangdong Peizheng College,Guangzhou 510830,China; 2.School of Mathematics & Computing Sciences,Changsha University of Science & Technology,Changsha 410076,China)
Abstract: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.
Keywords:reliability  k out of n  multiple delay vacations  the supplementary variable technique
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