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两阶段有向网络马尔可夫系统维修模型与分析
引用本文:于明丽,崔利荣.两阶段有向网络马尔可夫系统维修模型与分析[J].北京理工大学学报,2011,31(6):753-756.
作者姓名:于明丽  崔利荣
作者单位:北京理工大学管理与经济学院,北京,100081
基金项目:北京市人文社科基金资助项目(yb20091000701)
摘    要:根据实际管道有向网络系统,作者构造了两阶段有向网络马尔可夫维修系统.对组成系统的边以及系统的状态进行了分析,运用求解指标的一般方法和Laplace变换,对模型的可靠性指标进行了求解,给出了边与系统瞬时可用度、瞬时故障频度、稳态可用度、稳态故障频度以及平均指标的表达式.将两部件不独立运行系统与两部件独立的系统可靠性指标进行对比,用数值示例加以说明.研究结果为有向网络的马尔可夫维修系统的进一步研究提供了基础.

关 键 词:两阶段有向网络  马尔可夫可修系统  可靠性指标
收稿时间:2010/5/19 0:00:00

Modeling and Analysis of Two-Stage Directed Network Markov Repairable System
YU Ming-li and CUI Li-rong.Modeling and Analysis of Two-Stage Directed Network Markov Repairable System[J].Journal of Beijing Institute of Technology(Natural Science Edition),2011,31(6):753-756.
Authors:YU Ming-li and CUI Li-rong
Institution:YU Ming-li,CUI Li-rong(School of Management and Economics,Beijing Institute of Technology,Beijing 100081,China)
Abstract:According to the actual pipe directed network systems,this paper constructs the model of two-stage directed network Markov repairable systems in which each of edges(components) operates in dependence.The constructed components and the system state were analyzed.The general approach to find the solution of indexes and Laplace transformation were applied to solve reliability indexes of the model.The reliability indexes such as instantaneous availability,instantaneous faults frequency,steady-state availability...
Keywords:two-stage directed network  Markov repairable system  reliability indexes  
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