基于顺序二元决策图的动态故障树分析  

Dynamic fault tree analysis using sequential binary decision diagrams

作　　者：李佩昌[1] 袁宏杰[1] 兰杰[1] 程明[1] LI Peichang YUAN Hongjie LAN Jie CHENG Ming(School of Reliability and Systems Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China)

机构地区：[1]北京航空航天大学可靠性与系统工程学院,北京100083

出　　处：《北京航空航天大学学报》2017年第1期167-175,共9页Journal of Beijing University of Aeronautics and Astronautics

基　　金：国防基础科学研究计划(61325102)~~

摘　　要：针对现有动态故障树分析方法存在的状态空间爆炸、计算效率低、适用范围有限等缺点,提出一种基于顺序二元决策图的动态故障树分析方法。在将动态逻辑门转化为含顺序事件的逻辑门的基础上,给出了顺序二元决策图的模型以及含有顺序事件的布尔运算规则,利用顺序二元决策图和扩展的布尔运算获取动态故障树的失效路径,并给出多单元顺序事件的发生概率。以某弹药为实例,考虑不完全覆盖问题,针对指数分布与非指数分布2种情形进行了动态故障树分析,结果表明该方法具有计算高效、精度高、适用性广泛等优点,为复杂动态系统的可靠性分析提供了理论基础。In order to solve the problem of the existing dynamic fault tree analysis method,such as state space explosion,low computational efficiency and limited application range,a method for dynamic fault tree analysis based on sequential binary decision diagram is proposed. First,dynamic logic gates are transformed into logic gates with sequential events. Next,sequential binary decision diagram model and Boolean operation with sequential events are presented. Then,failure paths of dynamic fault tree are obtained by sequential binary decision diagram and extensional Boolean operation. Finally,probability calculations for sequential events with multi-unit are deduced. With a certain ammunition as an example,considering the imperfect coverage problem,the dynamic fault tree is analyzed under the situations of exponential and non-exponential distribution. The results show that this method has the advantages of high efficiency,high accuracy and wide applicability,which provides a theoretical basis for the reliability analysis of complex dynamic systems.

关 键 词：动态故障树 顺序二元决策图 布尔运算 可靠性分析 不完全覆盖 

分 类 号：TB114.3[理学—概率论与数理统计]