面向复杂智能制造的多维时空建模方法与应用
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摘要
为了解决复杂智能制造流程、技术和系统的综合建模问题,提出多维时空建模方法和基础建模元素,包括坐标矩阵、伴随矩阵、伴随关系、伴随指数、扩展矩阵、影子矩阵、属性矩阵、N方矩阵、关联定参法则、关联参数转化法则,在此基础上提出面向智能制造抽象过程和结构的类簇、类、对象,提出面向智能制造具体过程和结构的智能制造数据优化、智能制造信息无损压缩和有损压缩、智能制造数据清洗、智能制造反求和逆向工程,进一步提出带有时空耦合、时空反馈的智能制造复杂结构软硬件的逻辑和空间结构建模方法,带有矛盾流程和矛盾结构、模糊流程和模糊结构及带有时间和条件约束的复杂时序数据和管理流程的综合建模方法.实现了对具有多个组件、多个模块、多个制造设备、多个制造流程、多种制造材料、多种制造工艺的复杂构件和大规模软件进行实例逻辑建模和实例空间结构建模.最后通过对亚萨合莱智能概念锁和钥匙的复杂智能制造流程、功能、原理进行综合建模和反求,说明面向复杂智能制造的多维时空建模方法具有有效性、实用性和功能性.
A multi dimensional spatio-temporal modeling method and basic modeling elements were proposed in this paper to solve the integrated modeling for complex intelligent manufacturing processes,technologies and system problems,including coordinate matrix,adjoint matrix,adjoint relation,with the index,extension matrix,shadow matrix,attribute matrix,N matrix,association rule,and association parameters. On the basis of the conversion rules,intelligent manufacturing cluster and abstract process and structure of classes and objects were proposed for intelligent manufacturing intelligent concrete process and manufacturing data structure optimization,intelligent manufacturing information lossless andlossy compression,intelligent manufacturing,intelligent manufacturing data cleaning reverse and reverse engineering. Furthermore,a logical and spatial structure modeling method of intelligent manufacturig with spatio-temporal coupling and spatio-temporal feedback complex structure of hardware and software,process and structural contradictions,contradictions with fuzzy process and die integrated modeling method of paste structure was proposed with time constraints and complex time series data and process management. Logic modeling and spatial structure modeling examples were carried out for manufacturing materials,manufacturing processes with multiple components,multiple modules,manufacturing devices,a variety of complex components and large-scale software. Finally,multi dimensional spatio-temporal modeling method for complex intelligent manufacturing was proved to be effective, practical and functional through the actual integrated modeling and reverse of the concept of the Assa Abloy intelligent lock and key.
A multi dimensional spatio-temporal modeling method and basic modeling elements were proposed in this paper to solve the integrated modeling for complex intelligent manufacturing processes,technologies and system problems,including coordinate matrix,adjoint matrix,adjoint relation,with the index,extension matrix,shadow matrix,attribute matrix,N matrix,association rule,and association parameters. On the basis of the conversion rules,intelligent manufacturing cluster and abstract process and structure of classes and objects were proposed for intelligent manufacturing intelligent concrete process and manufacturing data structure optimization,intelligent manufacturing information lossless andlossy compression,intelligent manufacturing,intelligent manufacturing data cleaning reverse and reverse engineering. Furthermore,a logical and spatial structure modeling method of intelligent manufacturig with spatio-temporal coupling and spatio-temporal feedback complex structure of hardware and software,process and structural contradictions,contradictions with fuzzy process and die integrated modeling method of paste structure was proposed with time constraints and complex time series data and process management. Logic modeling and spatial structure modeling examples were carried out for manufacturing materials,manufacturing processes with multiple components,multiple modules,manufacturing devices,a variety of complex components and large-scale software. Finally,multi dimensional spatio-temporal modeling method for complex intelligent manufacturing was proved to be effective, practical and functional through the actual integrated modeling and reverse of the concept of the Assa Abloy intelligent lock and key.
引文
[1]李圣怡.智能制造技术和智能制造系统[J].国防科技大学学报,1995,17(2):5-11.LI S Y. Intelligent manufacturing technology and intelligent manufacturing systems[J]. National University of Defense Technology,1995,17(2):5-11.(in Chinese)
[2] MAY R M. Simple mathematical models with very complicated dynamics[J]. Nature,1976,261(5560):459-467.
[3] MAY R M. Biological populations with nonoverlapping generations:stable points,stable cycles,and chaos[J].Science,1974,186(4164):645-712.
[4] STEPHEN S. Differential equations,dynamical systems,and linear algebra[M]. Manhattan:Academic Press,1974.
[5] WILLIAM S. Technometrics,the elements of graphing data[J]. American Journal of Physics,1985,55(5):767-769.
[6] MACKINLAY J. Automating the design of graphical presentations of relational information[J]. ACM Transactions on Graphics,1986,5(2):110-141.
[7] SONIS M,DENDRINOS D. Period-doubling in discrete relative spatial dynamics and the Feigenbaum sequence[J]. Mathematical Modelling,1987,9(7):539-546.
[8] CLEVELAND W,MCGILl R. The shape parameter of a two-variable graph[J]. Journal of the American Statistical Association,1988,83(402):289-300.
[9] MACKINLAY J. Automating the design of graphical presentations of relational information[J]. ACM Transactions on Graphics,1986,5(2):110-141.
[10]韩建勋,饶欣.复杂系统建模——高维特征空间变量法[J].自动化学报,1991,17(2):160-165.HAN J X,RAO X. Modelling complex system—a method of high dimension feature space[J]. Automatica Sinica,1991,17(2):160-165.(in Chinese)
[11] HOETING J,VOLINSKY C. Bayesian model averaging:a tutorial[J]. Statistical Science,1999,14(4):382-417.
[12] BREIMANL L. Statistical modeling:the two cultures[J]. Statistical Science,2001,16(3):199-215.
[13] MARTEN S, JORIDI B, BROCK W, et al. Earlywarning signals for critical transitions[J]. Nature,2009,461(7260):53-59.
[14] CAO H,ZHOU Y,SONG B. Complex dynamics of discrete SEIS models with simple demography[J].Discrete Dynamics in Nature&Society,2011,2010(1):443-450.
[15] JING S. Application of the theory of linear algebra on mathematical modeling practice[J]. International Journal of Technology Management,2013,54(19):83-85.
[16]潘启澍,姜兵.基于Petri网的工作流建模技术及应用[J].清华大学学报,2000,40(9):86-89.PAN Q S,JIANG B. Petri net based workflow modeling techniques and applications[J]. Journal of Tsinghua University,2000,40(9):86-89.(in Chinese)
[17]刘辉,麻志毅,邵维忠.元建模技术研究进展[J].软件学报,2008,19(6):1317-1327.LIU H,MA Z Y,SHAO W Z. Progress of research on metamodeling[J]. Chinese Journal of Software,2008,19(6):1317-1327.(in Chinese)
[18]吴斌,周炳海,奚立峰,等.基于KOCNCES的智能重构制造控制系统动态建模与分析[J].上海交通大学学报,2008,42(7):1187-1192.WU B,ZHOU B H,XI L F,et al. Dynamics modeling and analysis of intelligent reconstruction manufacturing control system based on KOCNCES[J]. Journal of Shanghai Jiaotong University,2008,42(7):1187-1192.(in Chinese)
[19]陈定方,潘超.弹性体建模仿真新方法[J].华中科技大学学报(自然科学版),2007,35(17):107-109.CHEN D F,PAN C. New method to model and simulate elastic spheres[J]. Journal of Huazhong University of Science and Technology(Nature Science Edition),2007,35(17):107-109.(in Chinese)
[20]王海军,孙宝元,王吉军,等.面向大规模定制的产品模块化设计方法[J].大连理工大学学报,2005,10(10):1171-1176.WANG H J,SUN B Y,WANG J J,et al. Modular product design method for mass customization[J].Journal of Dalian University of Technology,2005,10(10):1171-1176.(in Chinese)
[21]石磊,杜润生,吴雅,等.面向智能结点的智能制造系统的分析与建模[J].华中理工大学学报,1995,23(6):62-65.SHI L,DU R S,WU Y,et al. Intelligent node-oriented intelligent manufacturing system analysis and modeling[J]. Journal of Huazhong University of Science and Technology,1995,23(6):62-65.(in Chinese)
[22]张劲松,王启富,万立,等.基于本体的产品配置建模研究[J].计算机集成制造系统,2003,9(5):344-350.ZHANG J S,WANG Q F,WAN L, et al. Product configuration modeling based on ontology[J]. Computer Integrated Manufacturing System,2003,9(5):344-350.(in Chinese)
[23]高世一,赵明扬,邹媛媛,等.基于多智能体的制造系统生产控制建模研究[J].计算机集成制造系统,2007,13(6):1066-1070.GAO S Y,ZHAO M Y,ZOU Y Y,et al. Production control modeling of manufacturing system based on MAS[J]. Computer Integrated Manufacturing Systems,2007,13(6):1066-1070.(in Chinese)
[24]谢兆鸿,范正森,王艮远.数学建模技术[M].北京:中国水利水电出版社,2003.
[25]曾波.灰色预测建模技术研究[D].南京:南京航空航天大学,2011.ZENG B. Grey prediction modeling technology[D].Nanjing:Nanjing University of Aeronautics&Astronautics,2011.(in Chinese)
[26] JEREMY B. Quantum leaps[M]. Cambridge:Belknap Press of Harvard University Press,2009:87-96.
[27] HOPKINSON A. Coordinate matrix[EB/OL].[2016-12-08]. http:∥spark. apache. org/docs/latest/api/scala/index. html#org. apache. spark. mllib. linalg.distributed. Coordinate Matrix.
[28]符尚武.二维三温热传导方程组的分步求解法[R].北京:中国工程物理研究院,2000.FU S W. Three dimensional heat conduction equations of the step-by-step solution method[R]. Beijing:Chinese Academy of Engineering Physics,2000.(in Chinese)
[29]刘利钊.基于热源尺度空间的图像特征检测研究[D].厦门:厦门大学,2011.LIU L Z. Image feature detection based on heat source scale space[D]. Xiamen:Xiamen University,2011.(in Chinese)
[30]刘利钊,洪江水,刘莉莉,等.面向大数据图像处理的尺度空间挖掘算法及应用[J].上海交通大学学报,2015,49(11):1731-1735.LIU L Z,HONG J S,LIU L L,et al. The large scale space image processing data mining algorithm and its application[J]. Journal of Shanghai Jiaotong University,2015,49(11):1731-1735.(in Chinese)
[31] LIU L Z, LIU J, DAI Yi, et al. Design and implementation of verification code identification based on anisotropic heat kernel[J]. China Communications,2016,1(1):109-121.
[32]熊智华.复杂系统建模与控制的研究及在精馏过程中的应用[D].北京:清华大学,2000.XIONG Z H. Modeling and control of complex systems and its application in distillation process[D]. Beijing:Tsinghua University,2000.(in Chinese)
[33]叶亮.基于统计回归的复杂制造过程健壮参数控制方法研究[D].上海:上海交通大学,2010.YE L. Study on robust parameter control based on statistical regression model for complex manufacturing processes[D]. Shanghai:Shanghai Jiaotong University,2010.(in Chinese)
[34]许伟.基于进化算法的复杂化工过程智能建模方法及其应用[D].上海:华东理工大学,2011.XU W. Intelligent modeling methods based on evolutionary algorithms for complex chemical processes and the applications[D]. Shanghai:East China University of Science and Technology, 2011.(in Chinese)
[35]张淑清,李盼,师荣艳,等.复杂系统建模的ε机理论方法及应用研究[J].仪器仪表学报,2014(8):1758-1765.ZHANG S Q,LI P,SHI R Y,et al. Study onε-machine theory method and application in complex system modeling[J]. Chinese Journal of Scientific Instrument,2014(8):1758-1765.(in Chinese)
[2] MAY R M. Simple mathematical models with very complicated dynamics[J]. Nature,1976,261(5560):459-467.
[3] MAY R M. Biological populations with nonoverlapping generations:stable points,stable cycles,and chaos[J].Science,1974,186(4164):645-712.
[4] STEPHEN S. Differential equations,dynamical systems,and linear algebra[M]. Manhattan:Academic Press,1974.
[5] WILLIAM S. Technometrics,the elements of graphing data[J]. American Journal of Physics,1985,55(5):767-769.
[6] MACKINLAY J. Automating the design of graphical presentations of relational information[J]. ACM Transactions on Graphics,1986,5(2):110-141.
[7] SONIS M,DENDRINOS D. Period-doubling in discrete relative spatial dynamics and the Feigenbaum sequence[J]. Mathematical Modelling,1987,9(7):539-546.
[8] CLEVELAND W,MCGILl R. The shape parameter of a two-variable graph[J]. Journal of the American Statistical Association,1988,83(402):289-300.
[9] MACKINLAY J. Automating the design of graphical presentations of relational information[J]. ACM Transactions on Graphics,1986,5(2):110-141.
[10]韩建勋,饶欣.复杂系统建模——高维特征空间变量法[J].自动化学报,1991,17(2):160-165.HAN J X,RAO X. Modelling complex system—a method of high dimension feature space[J]. Automatica Sinica,1991,17(2):160-165.(in Chinese)
[11] HOETING J,VOLINSKY C. Bayesian model averaging:a tutorial[J]. Statistical Science,1999,14(4):382-417.
[12] BREIMANL L. Statistical modeling:the two cultures[J]. Statistical Science,2001,16(3):199-215.
[13] MARTEN S, JORIDI B, BROCK W, et al. Earlywarning signals for critical transitions[J]. Nature,2009,461(7260):53-59.
[14] CAO H,ZHOU Y,SONG B. Complex dynamics of discrete SEIS models with simple demography[J].Discrete Dynamics in Nature&Society,2011,2010(1):443-450.
[15] JING S. Application of the theory of linear algebra on mathematical modeling practice[J]. International Journal of Technology Management,2013,54(19):83-85.
[16]潘启澍,姜兵.基于Petri网的工作流建模技术及应用[J].清华大学学报,2000,40(9):86-89.PAN Q S,JIANG B. Petri net based workflow modeling techniques and applications[J]. Journal of Tsinghua University,2000,40(9):86-89.(in Chinese)
[17]刘辉,麻志毅,邵维忠.元建模技术研究进展[J].软件学报,2008,19(6):1317-1327.LIU H,MA Z Y,SHAO W Z. Progress of research on metamodeling[J]. Chinese Journal of Software,2008,19(6):1317-1327.(in Chinese)
[18]吴斌,周炳海,奚立峰,等.基于KOCNCES的智能重构制造控制系统动态建模与分析[J].上海交通大学学报,2008,42(7):1187-1192.WU B,ZHOU B H,XI L F,et al. Dynamics modeling and analysis of intelligent reconstruction manufacturing control system based on KOCNCES[J]. Journal of Shanghai Jiaotong University,2008,42(7):1187-1192.(in Chinese)
[19]陈定方,潘超.弹性体建模仿真新方法[J].华中科技大学学报(自然科学版),2007,35(17):107-109.CHEN D F,PAN C. New method to model and simulate elastic spheres[J]. Journal of Huazhong University of Science and Technology(Nature Science Edition),2007,35(17):107-109.(in Chinese)
[20]王海军,孙宝元,王吉军,等.面向大规模定制的产品模块化设计方法[J].大连理工大学学报,2005,10(10):1171-1176.WANG H J,SUN B Y,WANG J J,et al. Modular product design method for mass customization[J].Journal of Dalian University of Technology,2005,10(10):1171-1176.(in Chinese)
[21]石磊,杜润生,吴雅,等.面向智能结点的智能制造系统的分析与建模[J].华中理工大学学报,1995,23(6):62-65.SHI L,DU R S,WU Y,et al. Intelligent node-oriented intelligent manufacturing system analysis and modeling[J]. Journal of Huazhong University of Science and Technology,1995,23(6):62-65.(in Chinese)
[22]张劲松,王启富,万立,等.基于本体的产品配置建模研究[J].计算机集成制造系统,2003,9(5):344-350.ZHANG J S,WANG Q F,WAN L, et al. Product configuration modeling based on ontology[J]. Computer Integrated Manufacturing System,2003,9(5):344-350.(in Chinese)
[23]高世一,赵明扬,邹媛媛,等.基于多智能体的制造系统生产控制建模研究[J].计算机集成制造系统,2007,13(6):1066-1070.GAO S Y,ZHAO M Y,ZOU Y Y,et al. Production control modeling of manufacturing system based on MAS[J]. Computer Integrated Manufacturing Systems,2007,13(6):1066-1070.(in Chinese)
[24]谢兆鸿,范正森,王艮远.数学建模技术[M].北京:中国水利水电出版社,2003.
[25]曾波.灰色预测建模技术研究[D].南京:南京航空航天大学,2011.ZENG B. Grey prediction modeling technology[D].Nanjing:Nanjing University of Aeronautics&Astronautics,2011.(in Chinese)
[26] JEREMY B. Quantum leaps[M]. Cambridge:Belknap Press of Harvard University Press,2009:87-96.
[27] HOPKINSON A. Coordinate matrix[EB/OL].[2016-12-08]. http:∥spark. apache. org/docs/latest/api/scala/index. html#org. apache. spark. mllib. linalg.distributed. Coordinate Matrix.
[28]符尚武.二维三温热传导方程组的分步求解法[R].北京:中国工程物理研究院,2000.FU S W. Three dimensional heat conduction equations of the step-by-step solution method[R]. Beijing:Chinese Academy of Engineering Physics,2000.(in Chinese)
[29]刘利钊.基于热源尺度空间的图像特征检测研究[D].厦门:厦门大学,2011.LIU L Z. Image feature detection based on heat source scale space[D]. Xiamen:Xiamen University,2011.(in Chinese)
[30]刘利钊,洪江水,刘莉莉,等.面向大数据图像处理的尺度空间挖掘算法及应用[J].上海交通大学学报,2015,49(11):1731-1735.LIU L Z,HONG J S,LIU L L,et al. The large scale space image processing data mining algorithm and its application[J]. Journal of Shanghai Jiaotong University,2015,49(11):1731-1735.(in Chinese)
[31] LIU L Z, LIU J, DAI Yi, et al. Design and implementation of verification code identification based on anisotropic heat kernel[J]. China Communications,2016,1(1):109-121.
[32]熊智华.复杂系统建模与控制的研究及在精馏过程中的应用[D].北京:清华大学,2000.XIONG Z H. Modeling and control of complex systems and its application in distillation process[D]. Beijing:Tsinghua University,2000.(in Chinese)
[33]叶亮.基于统计回归的复杂制造过程健壮参数控制方法研究[D].上海:上海交通大学,2010.YE L. Study on robust parameter control based on statistical regression model for complex manufacturing processes[D]. Shanghai:Shanghai Jiaotong University,2010.(in Chinese)
[34]许伟.基于进化算法的复杂化工过程智能建模方法及其应用[D].上海:华东理工大学,2011.XU W. Intelligent modeling methods based on evolutionary algorithms for complex chemical processes and the applications[D]. Shanghai:East China University of Science and Technology, 2011.(in Chinese)
[35]张淑清,李盼,师荣艳,等.复杂系统建模的ε机理论方法及应用研究[J].仪器仪表学报,2014(8):1758-1765.ZHANG S Q,LI P,SHI R Y,et al. Study onε-machine theory method and application in complex system modeling[J]. Chinese Journal of Scientific Instrument,2014(8):1758-1765.(in Chinese)