摘要
首先对研究对象进行系统界定和系统分析,建立了非同型单元k/n(G)可修复系统的可靠性分析模型,然后利用马尔可夫过程结合数学方法研究和推导了该系统的可靠性指标的表达方式及计算方法.若各单元的失效和维修指标一致,则非同型单元系统演变成同型单元系统,从而把同型单元k/n(G)表决系统作为特殊情况纳入研究对象中.此外,通过改变初始设置条件可以应用到不同形式的系统情形中,最后通过对双部件并联系统、(n-1)/n表决系统和1/n冷备用系统三种应用实例的可靠性分析和计算,表明该模型是有效的.
A k/n(G) repairable system composed of different types of units was defined and analyzed firstly ,the relevant reliability analysis model was established ,and then expression and its calculation method of reliability indices were researched and derived using Markov process and mathematical methods .If failure and maintenance characteristic of each unit was consistent ,the system composed of different types of units was evolved into a system with the same types of units ,thus ,the k/n(G) vot‐ing system with same types of units was as a special case included into the subject researched .In addi‐tion ,it could be applied to systems of different forms by changing the initial conditions .Finally ,the examples of two‐component parallel system ,(n-1)/n voting system and 1/n standby system which demonstrates application of the reliability analysis and calculation show that the model is effective .
出处
《华中科技大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2015年第3期17-21,共5页
Journal of Huazhong University of Science and Technology(Natural Science Edition)
基金
国家自然科学基金资助项目(51175527)
国家科技重大专项资助项目(2013ZX04012-012
2013ZX04012-031)
