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.
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, steady state failure frequency and average indexes for the system were given. In addition, the comparison on the reliability indexes for two-component independent and dependent systems was done with the illustration of numerical results. Above results provide a basis for further research on directed network Markov repairable systems.
出处
《北京理工大学学报》
EI
CAS
CSCD
北大核心
2011年第6期753-756,共4页
Transactions of Beijing Institute of Technology
基金
北京市人文社科基金资助项目(yb20091000701)
