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多运行水平马尔可夫可修系统的新型可靠性指标研究
引用本文:刘宝亮,崔利荣,温艳清.多运行水平马尔可夫可修系统的新型可靠性指标研究[J].北京理工大学学报,2014,34(5):547-550.
作者姓名:刘宝亮  崔利荣  温艳清
作者单位:北京理工大学管理与经济学院,北京100081;山西大同大学数学与计算机科学学院,山西,大同037009;北京理工大学管理与经济学院,北京100081;山西大同大学数学与计算机科学学院,山西,大同037009
基金项目:国家自然科学基金资助项目(71071020,71371031)
摘    要:将系统运行水平相同的状态归为一类,整个状态空间被划分为多个运行水平,建立了多运行水平马尔可夫可修系统模型并对其进行可靠性分析。 运用生物药理学中的离子通道建模理论、Markov过程理论、矩阵分块方法给出度量该系统可靠性的几个新型指标:点可用度、区间可靠度、点区间混合可用度等。 通过数值算例对所得结论进行了模拟实现,表明这些新的指标可以运用到马尔可夫可修系统模型中。 

关 键 词:可修系统  多运行水平  点可用度  区间可靠度
收稿时间:5/7/2012 12:00:00 AM

Markov Repairable Systems with Multi-Working Levels:Some New Reliability Indices
LIU Bao-liang,CUI Li-rong and WEN Yan-qing.Markov Repairable Systems with Multi-Working Levels:Some New Reliability Indices[J].Journal of Beijing Institute of Technology(Natural Science Edition),2014,34(5):547-550.
Authors:LIU Bao-liang  CUI Li-rong and WEN Yan-qing
Institution:1.School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China;College of Mathematics and Computer Science, Shanxi Datong University, Datong, Shanxi 037009, China2.School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China3.College of Mathematics and Computer Science, Shanxi Datong University, Datong, Shanxi 037009, China
Abstract:States with same working level were regarded as one class, and whole state space was divided into several working levels. The model of Markov repairable system with multi-working levels was constructed, and the reliability about the system was also studied. In terms of ion channel modeling theory, Markov process theory and matrix partition method, some new reliability indices for the system were presented, i.e., point availability, interval availability, point-interval-mixed availability and others. A numerical example was taken to simulate the contentions presented in the paper, and the simulation results show that these new indexes can be applied to Markov repairable system model.
Keywords:repairable system  multi-working levels  point availability  interval reliability
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