系统功能结构最简式分析方法
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摘要
为使空间故障树理论具有分析离散可靠性数据的能力,基于因素空间理论提出了一种分析系统功能结构最简式的方法,主要用于了解系统功能与元件功能之间的因果关系和内涵。给出了系统功能结构最简式方法的步骤和相关定义;使用一个系统的32条故障状态组成背景空间,分析其中蕴涵的系统功能与元件功能关系。同时随机选择23条故障状态组成了一个背景空间子集,得到蕴涵的功能关系。对比两种功能关系的最简结构式差异,根据布尔代数,得到元件之间的隐含功能关系为:元件Z3的功能与Z1或Z2或Z1+Z2的功能相同,从而得到关于系统可靠性的元件等效和替换关系。同时背景空间的两个子集最简结构式的和不等于原背景空间最简结构式,给出了两者相等的条件。
In order to make the space fault tree theory have the ability to analyze the discrete reliability data,this paper proposed a simplest formula analysis method of the system function structure based on the factor space theory. The method mainly used to understand the causal relationship between the system function and the component function. It given the steps of the simplest formula analysis method of the system function structure and related definitions. It composed the system of 32 fault states,which could be used to analyze the relationship between system function and component function. At the same time,it random chosen 23 fault states to form an background relation subset,and obtained the function relation. By comparing the difference between the two kinds of function relations,according to the Boolean algebra,it got the implicit function relation between components: the function of component Z3 was the same as that of Z1 or Z2 or Z1+ Z2. Thus,it obtained the component equivalence and substitution relation of system reliability. At the same time,the sum of the minimal extraction paradigms of the two background relation subsets was not equal to that of original background relation,and given the condition of equality.
In order to make the space fault tree theory have the ability to analyze the discrete reliability data,this paper proposed a simplest formula analysis method of the system function structure based on the factor space theory. The method mainly used to understand the causal relationship between the system function and the component function. It given the steps of the simplest formula analysis method of the system function structure and related definitions. It composed the system of 32 fault states,which could be used to analyze the relationship between system function and component function. At the same time,it random chosen 23 fault states to form an background relation subset,and obtained the function relation. By comparing the difference between the two kinds of function relations,according to the Boolean algebra,it got the implicit function relation between components: the function of component Z3 was the same as that of Z1 or Z2 or Z1+ Z2. Thus,it obtained the component equivalence and substitution relation of system reliability. At the same time,the sum of the minimal extraction paradigms of the two background relation subsets was not equal to that of original background relation,and given the condition of equality.
引文
[1] Tao Huanqi,Han Gujing,Zou Min. The system analysis of solar inverter based on network controlling[C]//Proc of International Conference on Challenges in Environmental Science and Computer Engineering. Washington DC:IEEE Computer Society,2010:243-246.
[2] Tolone W J,Johnson E W,Lee S W,et al. Enabling system of systems analysis of critical infrastructure behaviors[C]//Proc of the 3rd International Workshop on Critical Information Infrastructures Security. Berlin:Springer-Verlag,2009:24-35.
[3] Dang Yanzhong. A transfer expansion method for structural modeling in systems analysis[J]. Trans of System Engineering,1998,13(1):66-74.
[4] Lu Z,Yu Y,Woodman N J,et al. A theory of structural vulnerability[J]. The Structural Engineer,1999,77(18):17-24.
[5] Agarwal J,Blockley D I,Woodman N J. Vulnerability of 3D trusses[J]. Structural Safety,2001,23(3):203-220.
[6]卜文绍,祖从林,路春晓.考虑电流动态的无轴承异步电机解祸控制策略[J].控制理论与应用,2014,31(11):1561-1567.(Bu Wenshao,Zu Conglin,Lu Chunxiao. Decoupling control strategy of bearingless induction motor under the conditions of considering current dynamic characteristics[J]. Control Theory&Applications,2014,31(11):1561-1567.)
[7]李叶林,马飞,耿晓光.双缓冲腔环形间隙对凿岩机缓冲系统动态特性的影响[J].北京科技大学学报,2014,36(12):1676-1682.(Li Yelin,Ma Fei,Geng Xiaoguang. Effect of annular clearance inside the double damping chamber on the dynamic characteristics of a rock drill damping system[J]. Journal of University of Science and Technology Beijing,2014,36(12):1676-1682.)
[8]李明辉,夏靖波,陈才强,等.一种新的含可达影响因子的系统结构分析算法[J].北京理工大学学报,2012,32(2):135-140.(Li Minghui,Xia Jingbo,Chen Caiqiang,et al. A new system structure analysis arithmetic with reachable effect factor[J]. Transactions of Beijing Institute of Technology,2012,32(2):135-140.)
[9]李明辉,夏靖波,陈才强,等.通信网络系统结构分析[J].北京邮电大学学报,2012,35(3):38-41.(Li Minghui,Xia Jingbo,Chen Caiqiang,et al. System structural analysis of communication networks[J]. Trans of Beijing Institute of Technology,2012,35(3):38-41.)
[10]王辉,肖建.基于多分辨率分析的模糊系统结构辨识算法[J].系统仿真学报,2004,16(8):1630-1632.(Wang Hui,Xiao Jian. Structure identification in fuzzy system based on multi-resolution analysis[J]. Journal of System Simulation,2004,16(8):1630-1632.)
[11]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. Research on theory of space fault tree[D]. Fuxin:Liaoning Technical University,2015.)
[12]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.)
[13]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 Tiejun,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.)
[14]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.)
[15]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 Tiejun,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.)
[16]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.)
[17]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.)
[18]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.)
[19]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 EngineeringTheory&Practice,2016,36(4):1081-1088.)
[20]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.)
[21]崔铁军,汪培庄,马云东. 01SFT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 EngineeringTheory&Practice,2016,36(8):2152-2160.)
[22]Wang Peizhuang,Liu Zengliang,Shi Yong,et al. Factor space,the theoretical base of data science[J]. Annals of Data Science,2014,1(2):233-251.
[23]石勇.大数据与科技新挑战[J].科技促进发展,2014,10(1):25-30.(Shi Yong. Big data and new challenges[J]. Science and Technology Development,2014,10(1):25-30.)
[24] Zeng Wenyi,Feng Shuang. An improved comprehensive evaluation model and its application[J]. International Journal of Computational Intelligence Systems,2014,7(4):706-714.
[25] Li Deqing,Zeng Wenyi,Li Junhong. New distance and similarity measures on hesitant fuzzy sets and their applications in multiple criteria decision making[J]. Engineering Applications of Artificial Intelligence,2015,40(2):11-16.
[26]余高锋,刘文奇,石梦婷.基于局部变权模型的企业质量信用评价[J].管理科学学报,2015,17(2):85-94.(Yu Gaofeng,Liu Wenqi,Shi Mengting. Enterprise credit evaluation based on local variable weight model[J]. Journal of Management Science,2015,17(2):85-94.)
[27]He Ping. Design of interactive learning system based on intuition concept space[J]. Journal of Computer,2010,21(5):478-487.
[28]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.)
[29]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.)
[30]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.)
[31]Wang Peizhuang. Factor spaces and factor data-bases[J]. Journal of Liaoning Technical University:Natural Science,2013,32(10):1-8.
[32]Wang Peizhuang,Liu Zengliang,Shi Yong,et al. Factor space,the theoretical base of data science[J]. Annals of Data Science,2014,1(2):233-251.
[2] Tolone W J,Johnson E W,Lee S W,et al. Enabling system of systems analysis of critical infrastructure behaviors[C]//Proc of the 3rd International Workshop on Critical Information Infrastructures Security. Berlin:Springer-Verlag,2009:24-35.
[3] Dang Yanzhong. A transfer expansion method for structural modeling in systems analysis[J]. Trans of System Engineering,1998,13(1):66-74.
[4] Lu Z,Yu Y,Woodman N J,et al. A theory of structural vulnerability[J]. The Structural Engineer,1999,77(18):17-24.
[5] Agarwal J,Blockley D I,Woodman N J. Vulnerability of 3D trusses[J]. Structural Safety,2001,23(3):203-220.
[6]卜文绍,祖从林,路春晓.考虑电流动态的无轴承异步电机解祸控制策略[J].控制理论与应用,2014,31(11):1561-1567.(Bu Wenshao,Zu Conglin,Lu Chunxiao. Decoupling control strategy of bearingless induction motor under the conditions of considering current dynamic characteristics[J]. Control Theory&Applications,2014,31(11):1561-1567.)
[7]李叶林,马飞,耿晓光.双缓冲腔环形间隙对凿岩机缓冲系统动态特性的影响[J].北京科技大学学报,2014,36(12):1676-1682.(Li Yelin,Ma Fei,Geng Xiaoguang. Effect of annular clearance inside the double damping chamber on the dynamic characteristics of a rock drill damping system[J]. Journal of University of Science and Technology Beijing,2014,36(12):1676-1682.)
[8]李明辉,夏靖波,陈才强,等.一种新的含可达影响因子的系统结构分析算法[J].北京理工大学学报,2012,32(2):135-140.(Li Minghui,Xia Jingbo,Chen Caiqiang,et al. A new system structure analysis arithmetic with reachable effect factor[J]. Transactions of Beijing Institute of Technology,2012,32(2):135-140.)
[9]李明辉,夏靖波,陈才强,等.通信网络系统结构分析[J].北京邮电大学学报,2012,35(3):38-41.(Li Minghui,Xia Jingbo,Chen Caiqiang,et al. System structural analysis of communication networks[J]. Trans of Beijing Institute of Technology,2012,35(3):38-41.)
[10]王辉,肖建.基于多分辨率分析的模糊系统结构辨识算法[J].系统仿真学报,2004,16(8):1630-1632.(Wang Hui,Xiao Jian. Structure identification in fuzzy system based on multi-resolution analysis[J]. Journal of System Simulation,2004,16(8):1630-1632.)
[11]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. Research on theory of space fault tree[D]. Fuxin:Liaoning Technical University,2015.)
[12]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.)
[13]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 Tiejun,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.)
[14]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.)
[15]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 Tiejun,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.)
[16]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.)
[17]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.)
[18]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.)
[19]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 EngineeringTheory&Practice,2016,36(4):1081-1088.)
[20]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.)
[21]崔铁军,汪培庄,马云东. 01SFT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 EngineeringTheory&Practice,2016,36(8):2152-2160.)
[22]Wang Peizhuang,Liu Zengliang,Shi Yong,et al. Factor space,the theoretical base of data science[J]. Annals of Data Science,2014,1(2):233-251.
[23]石勇.大数据与科技新挑战[J].科技促进发展,2014,10(1):25-30.(Shi Yong. Big data and new challenges[J]. Science and Technology Development,2014,10(1):25-30.)
[24] Zeng Wenyi,Feng Shuang. An improved comprehensive evaluation model and its application[J]. International Journal of Computational Intelligence Systems,2014,7(4):706-714.
[25] Li Deqing,Zeng Wenyi,Li Junhong. New distance and similarity measures on hesitant fuzzy sets and their applications in multiple criteria decision making[J]. Engineering Applications of Artificial Intelligence,2015,40(2):11-16.
[26]余高锋,刘文奇,石梦婷.基于局部变权模型的企业质量信用评价[J].管理科学学报,2015,17(2):85-94.(Yu Gaofeng,Liu Wenqi,Shi Mengting. Enterprise credit evaluation based on local variable weight model[J]. Journal of Management Science,2015,17(2):85-94.)
[27]He Ping. Design of interactive learning system based on intuition concept space[J]. Journal of Computer,2010,21(5):478-487.
[28]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.)
[29]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.)
[30]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.)
[31]Wang Peizhuang. Factor spaces and factor data-bases[J]. Journal of Liaoning Technical University:Natural Science,2013,32(10):1-8.
[32]Wang Peizhuang,Liu Zengliang,Shi Yong,et al. Factor space,the theoretical base of data science[J]. Annals of Data Science,2014,1(2):233-251.
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