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随机选择修理工且修理延迟的可修系统的可靠性分析
引用本文:梁小林,唐小伟,莫兰英.随机选择修理工且修理延迟的可修系统的可靠性分析[J].长沙交通学院学报,2008,24(3):84-89.
作者姓名:梁小林  唐小伟  莫兰英
作者单位: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,湖南省社会科学基金
摘    要:研究了可随机选择修理工且修理延迟的可修系统.假定系统的寿命、延迟修理时间和修理时间均为广义指数分布.通过引进补充变量法并利用广义马尔可夫过程和拉普拉斯变换方法求出了系统的可用度、可靠度、维修频度和系统等待修理的概率等重要可靠性指标.

关 键 词:可靠性指标  补充变量法  修理延迟  广义马尔可夫过程

Reliability analysis of a repairable system with repairman selected randomly and repair delay
LIANG Xiao-lin,TANG Xiao-wei,MO Lan-ying.Reliability analysis of a repairable system with repairman selected randomly and repair delay[J].Journal of Changsha Communications University,2008,24(3):84-89.
Authors:LIANG Xiao-lin  TANG Xiao-wei  MO Lan-ying
Institution:LIANG Xiao-lin, TANG Xiao-wei, MO Lan-ying (School of Mathematics and Computing Science, Changsha University of Science & Technology, Changsha 410076, China)
Abstract:A repairable system is considered in which the repairmen can be selected randomly and the repair can be delayed.Assuming that the working life,the repair delay time and the repair time have all the broad sense exponential distribution,some main reliability index of the system,such as availability,reliability,repairable frequency and the probability of repair delay,are derived by using the supplementary variable technique,the broad sense Markov process and the tool of the Laplace transform.
Keywords:reliability index  the supplementary variable method  repair delay  the broad sense Markov process
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