空间故障网络及其与空间故障树的转换
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摘要
空间故障树是一种研究系统可靠性与影响因素关系的理论体系,用树型结构描述元件与系统之间的可靠性关系,但实际故障发生过程是复杂的,难以表示成树型结构,而更为广泛的是网状结构。因此,尝试将空间故障树中的树型结构转换为网络结构,进而形成空间故障网络。给出空间故障网络的定义、性质及其与空间故障树的转换方法。目的是将空间故障网络转换为空间故障树,以利用空间故障树已有研究结果。给出一般结构和多向环结构的空间故障网络及其转换为空间故障树的方法,为使用空间故障树理论研究一般网络结构故障发生过程提供方法。
The space fault tree is a theoretical system to study the relationship between the system reliability and influencing factors. The tree structure is used to describe the relationship. But the actual fault process is complicated,it is difficult to represent the tree structure,and the more general is the network structure. Therefore,this paper attempted to transform the tree structure in the space fault tree into a network structure,and then formed a space fault network. It gave the definition and properties of the space fault network and the transformation method with the space fault tree. The purpose was to transform the space fault network into space fault tree,and to make use of the existing research results of the space fault tree. The space fault network had the general structure and the multi-direction ring structure,and gave the transforming method into a space fault tree. In order to use the space fault tree,it provided a method for the fault process of general network structure.
The space fault tree is a theoretical system to study the relationship between the system reliability and influencing factors. The tree structure is used to describe the relationship. But the actual fault process is complicated,it is difficult to represent the tree structure,and the more general is the network structure. Therefore,this paper attempted to transform the tree structure in the space fault tree into a network structure,and then formed a space fault network. It gave the definition and properties of the space fault network and the transformation method with the space fault tree. The purpose was to transform the space fault network into space fault tree,and to make use of the existing research results of the space fault tree. The space fault network had the general structure and the multi-direction ring structure,and gave the transforming method into a space fault tree. In order to use the space fault tree,it provided a method for the fault process of general network structure.
引文
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[2] Zytoon M A,El-Shazly A H,Noweir M H,et al. Quantitative safety analysis of a laboratory-scale bioreactor for hydrogen sulfide biotreatment using fault tree analysis[J]. Process Safety Progress,2013,32(4):376-386.
[3] Ferdous R,Khan F,Sadiq R,et al. Fault and event tree analyses for process systems risk analysis:uncertainty handling formulations[J].Risk Analysis,2011,31(1):86-107.
[4] Flage R,Baraldi P,Zio E,et al. Probability and possibility-based representations of uncertainty in fault tree analysis[J]. Risk Analysis,2013,33(1):121-133.
[5] Pedroni N,Zio E. Uncertainty analysis in fault tree models with dependent basic events[J]. Risk Analysis,2013,33(6):1146-1173.
[6] Wang Dong,Zhang Yan,Jia Xiang,et al. Handling uncertainties in fault tree analysis by a hybrid probabilistic-possibilistic framework[J]. Quality and Reliability Engineering International,2016,32(3):1137-1148.
[7] Remenyte-Prescott R,Andrews J D. An efficient real-time method of analysis for non-coherent fault trees[J]. Quality and Reliability Engineering International,2009,25(2):129-150.
[8] Ge Daochuan,Li Dong,Chou Qiang,et al. Quantification of highly coupled dynamic fault tree using IRVPM and SBDD[J]. Quality and Reliability Engineering International,2016,32(1):139-151.
[9] Slund J,Biteus J,Frisk E,et al. Safety analysis of autonomous systems by extended fault tree analysis[J]. International Journal of Adaptive Control and Signal Processing,2007,21(2):287-298.
[10] Cui Yiqian,Shi Junyou,Wang Zili. Analog circuits fault diagnosis using multi-valued Fisher’s fuzzy decision tree(MFFDT)[J]. International Journal of Circuit Theory and Applications,2015,44(1):240-260.
[11] Ekaette E,Lee R C,Cooke D L,et al. Probabilistic fault tree analysis of a radiation treatment system[J]. Risk Analysis,2007,27(6):1395-1410.
[12] Steiner N Y,Hissel D,Mootéguy P,et al. Application of fault tree analysis to fuel cell diagnosis[J]. Fuel Cells,2012,12(2):302-309.
[13] Rahmat M K,Jovanovic S. Reliability modelling of uninterruptible power supply systems using fault tree analysis method[J]. European Transactions on Electrical Power,2009,19(2):814-826.
[14] Peng Zhaoguang,Lu Yu,Miller A,et al. Risk assessment of railway transportation systems using timed fault trees[J]. Quality and Reliability Engineering International,2016,32(1):181-194.
[15] Huang Hongzhong,Zhang Hua,Li Yanfeng. A new ordering method of basic events in fault tree analysis[J]. Quality and Reliability Engineering International,2012,28(3):297-305.
[16] Mo Yuchang,Zhong Farong,Liu Huawen,et al. Efficient ordering heuristics in binary decision diagram-based fault tree analysis[J].Quality and Reliability Engineering International,2013,29(3):307-315.
[17] Ge Daochuan,Yang Yanhua. Reliability analysis of non-repairable systems modeled by dynamic fault trees with priority AND gates[J].Applied Stochastic Models in Business and Industry,2015,31(6):809-822.
[18] Merle G,Roussel J M,Lesage J J,et al. Quantitative analysis of dynamic fault trees based on the coupling of structure functions and Monte Carlo simulation[J]. Quality and Reliability Engineering International,2014,32(1):7-18.
[19] Yevkin O. An efficient approximate Markov chain method in dynamic fault tree analysis[J]. Quality and Reliability Engineering International,2016,32(4):1509-1520.
[20] Merle G,Roussel J M,Lesage J J. Quantitative analysis of dynamic fault trees based on the structure function[J]. Quality and Reliability Engineering International,2014,30(1):143-156.
[21]崔铁军.空间故障树理论研究[D].阜新:辽宁工程技术大学,2015.(Cui Tiejun. Study theory of space fault tree[D]. Fuxin:Liaoning Technical University,2015.)
[22]崔铁军,马云东.多维空间故障树构建及应用研究[J].中国安全科学学报,2013,23(4):32-37.(Cui Tiejun,Ma Yundong. Research on multi-dimensional space fault tree construction and application[J]. China Safety Science Journal,2013,23(4):32-37.)
[23]崔铁军,马云东.空间故障树的径集域与割集域的定义与认识[J].中国安全科学学报,2014,24(4):27-32.(Cui Teijun,Ma Yundong. Definition and understand on size set domain and cut set domain based on multi-dimensional space fault tree[J]. China Safety Science Journal,2014,24(4):27-32.)
[24]崔铁军,马云东.连续型空间故障树中因素重要度分布的定义与认知[J].中国安全科学学报,2015,25(3):24-28.(Cui Tiejun,Ma Yundong. The definition and cognition of the factor importance distribution in continuous space fault tree[J]. China Safety Science Journal,2015,25(3):24-28.)
[25]崔铁军,马云东.基于多维空间事故树的维持系统可靠性方法研究[J].系统科学与数学,2014,34(6):682-692.(Cui Teijun,Ma Yundong. Research on the maintenance method of system reliability based on multi-dimensional space fault tree[J]. Journal of Systems Science and Mathematical Sciences,2014,34(6):682-692.)
[26]崔铁军,马云东.系统可靠性决策规则发掘方法研究[J].系统工程理论与实践,2015,35(12):3210-3216.(Cui Tiejun,Ma Yundong. The method research on decision criterion discovery of system reliability[J]. Systems Engineering-Theory&Practice,2015,35(12):3210-3216.)
[27]李莎莎,崔铁军,马云东.基于空间故障树理论的系统可靠性评估方法研究[J].中国安全生产科学技术,2015,11(6):68-74.(Li Shasha,Cui Tiejun,Ma Yundong. System reliability assessment method based on space fault tree[J]. Journal of Safety Science and Technology,2015,11(6):68-74.)
[28]崔铁军,马云东.基于SFT理论的系统可靠性评估方法改造研究[J].模糊系统与数学,2015,29(5):173-182.(Cui Tiejun,Ma Yundong. Reliability assessment method based on space fault tree[J]. Fuzzy System and Mathematics,2015,29(5):173-182.)
[29]崔铁军,马云东.离散型空间故障树构建及其性质研究[J].系统科学与数学,2016,36(10):1753-1761.(Cui Tiejun,Ma Yundong. Discrete space fault tree construction and application research[J]. Journal of Systems Science and Mathematical Sciences,2016,36(10):1753-1761.)
[30]崔铁军,马云东. DSFT的建立及故障概率空间分布的确定[J].系统工程理论与实践,2016,36(4):1081-1088.(Cui Tiejun,Ma Yundong. Discrete space fault tree construction and failure probability space distribution determine[J]. Systems Engineering-Theory&Practice,2016,36(4):1081-1088.)
[31]崔铁军,李莎莎,马云东,等.基于ANN求导的DSFT中故障概率变化趋势研究[J].计算机应用研究,2017,34(2):449-452.(Cui Tiejun,Li Shasha,Ma Yundong,et al. Research on trend of failure probability in DSFT based on ANN derivation[J]. Application Research of Computers,2017,34(2):449-452.)
[32]崔铁军,马云东. DSFT中因素投影拟合法的不精确原因分析[J].系统工程理论与实践,2016,36(5):1340-1345.(Cui Tiejun,Ma Yundong. Inaccurate reason analysis of the factors projection fitting method in DSFT[J]. Systems Engineering-Theory&Practice,2016,36(5):1340-1345.)
[33]崔铁军,马云东. DSFT下模糊结构元特征函数构建及结构元化的意义[J].模糊系统与数学,2016,30(2):144-152.(Cui Tiejun,Ma Yundong. The construction of fuzzy structured element characteristic function and the significance of structure elemented in DSFT[J]. Fuzzy System and Mathematics,2016,30(2):144-152.)
[34]崔铁军,马云东.基于模糊结构元的SFT概念重构及其意义[J].计算机应用研究,2016,33(7):1957-1960.(Cui Tiejun,Ma Yundong. SFT concept reconstruction and its significance based on fuzzy structured element[J]. Application Research of Computers,2016,33(7):1957-1960.)
[35] Li Shasha,Cui Tiejun,Liu Jian. Study on the construction and application of cloud space fault tree[J]. Cluster Computing,2017(2):1-21.
[36]崔铁军,汪培庄,马云东. 01 SFT中的系统因素结构反分析方法研究[J].系统工程理论与实践,2016,36(8):2152-2160.(Cui Tiejun,Wang Peizhuang,Ma Yundong. Inward analysis of system factor structure in 01 space fault tree[J]. Systems Engineering-Theory&Practice,2016,36(8):2152-2160.)
[37] Cui Tiejun,Wang Peizhuang,Li Shasha. The function structure analysis theory based on the factor space and space fault tree[J]. Cluster Computing,2017,20(2):1387-1398.
[38]崔铁军,马云东.因素空间的属性圆定义及其在对象分类中的应用[J].计算机工程与科学,2015,37(11):2170-2174.(Cui Tiejun,Ma Yundong. Definition of the attribute circle in factors space and its application in object classification[J]. Computer Engineering&Science,2015,37(11):2170-2174.)
[39]崔铁军,马云东.考虑范围属性的系统安全分类决策规则研究[J].中国安全生产科学技术,2014,10(11):6-9.(Cui Tiejun,Ma Yundong. System security classification decision rules considering the scope attribute[J]. Journal of Safety Science and Technology,2014,10(11):6-9.)
[40]崔铁军,马云东.基于因素空间的煤矿安全情况区分方法的研究[J].系统工程理论与实践,2015,35(11):2891-2897.(Cui Tiejun,Ma Yundong. Research on the classification method about coal mine safety situation based on the factor space[J]. Systems Engineering-Theory&Practice,2015,35(11):2891-2897.)
[41] Cui Tiejun,Li Shasha. Study on the relationship between system reliability and influencing factors under big data and multi-factors[J].Cluster Computing,2017(3):1-23.
[2] Zytoon M A,El-Shazly A H,Noweir M H,et al. Quantitative safety analysis of a laboratory-scale bioreactor for hydrogen sulfide biotreatment using fault tree analysis[J]. Process Safety Progress,2013,32(4):376-386.
[3] Ferdous R,Khan F,Sadiq R,et al. Fault and event tree analyses for process systems risk analysis:uncertainty handling formulations[J].Risk Analysis,2011,31(1):86-107.
[4] Flage R,Baraldi P,Zio E,et al. Probability and possibility-based representations of uncertainty in fault tree analysis[J]. Risk Analysis,2013,33(1):121-133.
[5] Pedroni N,Zio E. Uncertainty analysis in fault tree models with dependent basic events[J]. Risk Analysis,2013,33(6):1146-1173.
[6] Wang Dong,Zhang Yan,Jia Xiang,et al. Handling uncertainties in fault tree analysis by a hybrid probabilistic-possibilistic framework[J]. Quality and Reliability Engineering International,2016,32(3):1137-1148.
[7] Remenyte-Prescott R,Andrews J D. An efficient real-time method of analysis for non-coherent fault trees[J]. Quality and Reliability Engineering International,2009,25(2):129-150.
[8] Ge Daochuan,Li Dong,Chou Qiang,et al. Quantification of highly coupled dynamic fault tree using IRVPM and SBDD[J]. Quality and Reliability Engineering International,2016,32(1):139-151.
[9] Slund J,Biteus J,Frisk E,et al. Safety analysis of autonomous systems by extended fault tree analysis[J]. International Journal of Adaptive Control and Signal Processing,2007,21(2):287-298.
[10] Cui Yiqian,Shi Junyou,Wang Zili. Analog circuits fault diagnosis using multi-valued Fisher’s fuzzy decision tree(MFFDT)[J]. International Journal of Circuit Theory and Applications,2015,44(1):240-260.
[11] Ekaette E,Lee R C,Cooke D L,et al. Probabilistic fault tree analysis of a radiation treatment system[J]. Risk Analysis,2007,27(6):1395-1410.
[12] Steiner N Y,Hissel D,Mootéguy P,et al. Application of fault tree analysis to fuel cell diagnosis[J]. Fuel Cells,2012,12(2):302-309.
[13] Rahmat M K,Jovanovic S. Reliability modelling of uninterruptible power supply systems using fault tree analysis method[J]. European Transactions on Electrical Power,2009,19(2):814-826.
[14] Peng Zhaoguang,Lu Yu,Miller A,et al. Risk assessment of railway transportation systems using timed fault trees[J]. Quality and Reliability Engineering International,2016,32(1):181-194.
[15] Huang Hongzhong,Zhang Hua,Li Yanfeng. A new ordering method of basic events in fault tree analysis[J]. Quality and Reliability Engineering International,2012,28(3):297-305.
[16] Mo Yuchang,Zhong Farong,Liu Huawen,et al. Efficient ordering heuristics in binary decision diagram-based fault tree analysis[J].Quality and Reliability Engineering International,2013,29(3):307-315.
[17] Ge Daochuan,Yang Yanhua. Reliability analysis of non-repairable systems modeled by dynamic fault trees with priority AND gates[J].Applied Stochastic Models in Business and Industry,2015,31(6):809-822.
[18] Merle G,Roussel J M,Lesage J J,et al. Quantitative analysis of dynamic fault trees based on the coupling of structure functions and Monte Carlo simulation[J]. Quality and Reliability Engineering International,2014,32(1):7-18.
[19] Yevkin O. An efficient approximate Markov chain method in dynamic fault tree analysis[J]. Quality and Reliability Engineering International,2016,32(4):1509-1520.
[20] Merle G,Roussel J M,Lesage J J. Quantitative analysis of dynamic fault trees based on the structure function[J]. Quality and Reliability Engineering International,2014,30(1):143-156.
[21]崔铁军.空间故障树理论研究[D].阜新:辽宁工程技术大学,2015.(Cui Tiejun. Study theory of space fault tree[D]. Fuxin:Liaoning Technical University,2015.)
[22]崔铁军,马云东.多维空间故障树构建及应用研究[J].中国安全科学学报,2013,23(4):32-37.(Cui Tiejun,Ma Yundong. Research on multi-dimensional space fault tree construction and application[J]. China Safety Science Journal,2013,23(4):32-37.)
[23]崔铁军,马云东.空间故障树的径集域与割集域的定义与认识[J].中国安全科学学报,2014,24(4):27-32.(Cui Teijun,Ma Yundong. Definition and understand on size set domain and cut set domain based on multi-dimensional space fault tree[J]. China Safety Science Journal,2014,24(4):27-32.)
[24]崔铁军,马云东.连续型空间故障树中因素重要度分布的定义与认知[J].中国安全科学学报,2015,25(3):24-28.(Cui Tiejun,Ma Yundong. The definition and cognition of the factor importance distribution in continuous space fault tree[J]. China Safety Science Journal,2015,25(3):24-28.)
[25]崔铁军,马云东.基于多维空间事故树的维持系统可靠性方法研究[J].系统科学与数学,2014,34(6):682-692.(Cui Teijun,Ma Yundong. Research on the maintenance method of system reliability based on multi-dimensional space fault tree[J]. Journal of Systems Science and Mathematical Sciences,2014,34(6):682-692.)
[26]崔铁军,马云东.系统可靠性决策规则发掘方法研究[J].系统工程理论与实践,2015,35(12):3210-3216.(Cui Tiejun,Ma Yundong. The method research on decision criterion discovery of system reliability[J]. Systems Engineering-Theory&Practice,2015,35(12):3210-3216.)
[27]李莎莎,崔铁军,马云东.基于空间故障树理论的系统可靠性评估方法研究[J].中国安全生产科学技术,2015,11(6):68-74.(Li Shasha,Cui Tiejun,Ma Yundong. System reliability assessment method based on space fault tree[J]. Journal of Safety Science and Technology,2015,11(6):68-74.)
[28]崔铁军,马云东.基于SFT理论的系统可靠性评估方法改造研究[J].模糊系统与数学,2015,29(5):173-182.(Cui Tiejun,Ma Yundong. Reliability assessment method based on space fault tree[J]. Fuzzy System and Mathematics,2015,29(5):173-182.)
[29]崔铁军,马云东.离散型空间故障树构建及其性质研究[J].系统科学与数学,2016,36(10):1753-1761.(Cui Tiejun,Ma Yundong. Discrete space fault tree construction and application research[J]. Journal of Systems Science and Mathematical Sciences,2016,36(10):1753-1761.)
[30]崔铁军,马云东. DSFT的建立及故障概率空间分布的确定[J].系统工程理论与实践,2016,36(4):1081-1088.(Cui Tiejun,Ma Yundong. Discrete space fault tree construction and failure probability space distribution determine[J]. Systems Engineering-Theory&Practice,2016,36(4):1081-1088.)
[31]崔铁军,李莎莎,马云东,等.基于ANN求导的DSFT中故障概率变化趋势研究[J].计算机应用研究,2017,34(2):449-452.(Cui Tiejun,Li Shasha,Ma Yundong,et al. Research on trend of failure probability in DSFT based on ANN derivation[J]. Application Research of Computers,2017,34(2):449-452.)
[32]崔铁军,马云东. DSFT中因素投影拟合法的不精确原因分析[J].系统工程理论与实践,2016,36(5):1340-1345.(Cui Tiejun,Ma Yundong. Inaccurate reason analysis of the factors projection fitting method in DSFT[J]. Systems Engineering-Theory&Practice,2016,36(5):1340-1345.)
[33]崔铁军,马云东. DSFT下模糊结构元特征函数构建及结构元化的意义[J].模糊系统与数学,2016,30(2):144-152.(Cui Tiejun,Ma Yundong. The construction of fuzzy structured element characteristic function and the significance of structure elemented in DSFT[J]. Fuzzy System and Mathematics,2016,30(2):144-152.)
[34]崔铁军,马云东.基于模糊结构元的SFT概念重构及其意义[J].计算机应用研究,2016,33(7):1957-1960.(Cui Tiejun,Ma Yundong. SFT concept reconstruction and its significance based on fuzzy structured element[J]. Application Research of Computers,2016,33(7):1957-1960.)
[35] Li Shasha,Cui Tiejun,Liu Jian. Study on the construction and application of cloud space fault tree[J]. Cluster Computing,2017(2):1-21.
[36]崔铁军,汪培庄,马云东. 01 SFT中的系统因素结构反分析方法研究[J].系统工程理论与实践,2016,36(8):2152-2160.(Cui Tiejun,Wang Peizhuang,Ma Yundong. Inward analysis of system factor structure in 01 space fault tree[J]. Systems Engineering-Theory&Practice,2016,36(8):2152-2160.)
[37] Cui Tiejun,Wang Peizhuang,Li Shasha. The function structure analysis theory based on the factor space and space fault tree[J]. Cluster Computing,2017,20(2):1387-1398.
[38]崔铁军,马云东.因素空间的属性圆定义及其在对象分类中的应用[J].计算机工程与科学,2015,37(11):2170-2174.(Cui Tiejun,Ma Yundong. Definition of the attribute circle in factors space and its application in object classification[J]. Computer Engineering&Science,2015,37(11):2170-2174.)
[39]崔铁军,马云东.考虑范围属性的系统安全分类决策规则研究[J].中国安全生产科学技术,2014,10(11):6-9.(Cui Tiejun,Ma Yundong. System security classification decision rules considering the scope attribute[J]. Journal of Safety Science and Technology,2014,10(11):6-9.)
[40]崔铁军,马云东.基于因素空间的煤矿安全情况区分方法的研究[J].系统工程理论与实践,2015,35(11):2891-2897.(Cui Tiejun,Ma Yundong. Research on the classification method about coal mine safety situation based on the factor space[J]. Systems Engineering-Theory&Practice,2015,35(11):2891-2897.)
[41] Cui Tiejun,Li Shasha. Study on the relationship between system reliability and influencing factors under big data and multi-factors[J].Cluster Computing,2017(3):1-23.