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集合最优化中几类最优集的性质 被引量:1
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作者 李毛亲 冯国 《中北大学学报(自然科学版)》 CAS 北大核心 2012年第5期499-502,共4页
在偏序拓扑线性空间中介绍了集合之间的下关系以及与此相关的集合最优化问题及其最优集的概念.探讨了该集合最优化问题的最优集的基本性质,得到了某些相关集簇的最优集之间的关系以及一个集簇的最优集与其子集簇的最优集之间的关系.研... 在偏序拓扑线性空间中介绍了集合之间的下关系以及与此相关的集合最优化问题及其最优集的概念.探讨了该集合最优化问题的最优集的基本性质,得到了某些相关集簇的最优集之间的关系以及一个集簇的最优集与其子集簇的最优集之间的关系.研究了控制结构的变化对一个集簇的最优集的影响,得到了当控制结构扩大时一个集簇在不同的控制结构下其最优集之间的关系,并把该结论与向量最优化的相应结论进行了比较. 展开更多
关键词 集合最优化 下关系 上关系 l-最优集 弱l-最优集 绝对l-最优集
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集合最优化问题的Lagrange对偶
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作者 李毛亲 李杉林 《中北大学学报(自然科学版)》 CAS 北大核心 2011年第4期392-397,共6页
在偏序拓扑线性空间,讨论了具有集值映射的最优化问题的L agrange对偶和鞍点问题.该最优化问题解的判别依赖于目标空间集合之间的下关系.对于给定的具有线性乘子的L agrange集值映射,在公理化对偶的框架下,得到了弱对偶定理;在CY-次类... 在偏序拓扑线性空间,讨论了具有集值映射的最优化问题的L agrange对偶和鞍点问题.该最优化问题解的判别依赖于目标空间集合之间的下关系.对于给定的具有线性乘子的L agrange集值映射,在公理化对偶的框架下,得到了弱对偶定理;在CY-次类凸的条件下得到了强对偶定理.给出了鞍点存在的必要条件和充分条件,同时通过鞍点得到了集合最优化问题解的存在性条件. 展开更多
关键词 集合最优化 下关系 Cy-次类凸 Lagrangian对偶 鞍点
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广义凸性假设下的集合最优化解的性质
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作者 李毛亲 李杉林 《浙江师范大学学报(自然科学版)》 CAS 2011年第1期22-27,共6页
集合最优化与向量最优化同属于多目标最优化的范畴,后者依赖于目标空间向量之间的序关系,而前者则依赖于集合之间的序关系.介绍了由Kuroiwa引入的拓扑线性空间中集合之间的序关系(下关系和上关系)及与此相关的集合最优化问题;探讨了其... 集合最优化与向量最优化同属于多目标最优化的范畴,后者依赖于目标空间向量之间的序关系,而前者则依赖于集合之间的序关系.介绍了由Kuroiwa引入的拓扑线性空间中集合之间的序关系(下关系和上关系)及与此相关的集合最优化问题;探讨了其最优解和弱最优解的性质,并把向量最优化问题的相关结论推广到集合最优化;在一些广义凸性假设下,得到了集合最优化问题的最优解与弱最优解的关系以及局部最优解和全局最优解的关系. 展开更多
关键词 集合最优化 下关系 上关系 l(u)-(弱)最优解 局部l(u)-(弱)最优解 全局l(u)-(弱)最优解
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集合最优化问题的一般性对偶原理
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作者 李毛亲 《中北大学学报(自然科学版)》 CAS 北大核心 2013年第6期602-605,共4页
在偏序拓扑线性空间,介绍了由Kuroiwa引入的集合最优化问题极其相关的概念.给出了集合最优化问题的一般对偶,精确对偶的概念,证明了弱对偶定理,探讨了一般对偶和精确对偶的一些性质.对于任一个给定的集簇,给出一种构造一个相应的集簇的... 在偏序拓扑线性空间,介绍了由Kuroiwa引入的集合最优化问题极其相关的概念.给出了集合最优化问题的一般对偶,精确对偶的概念,证明了弱对偶定理,探讨了一般对偶和精确对偶的一些性质.对于任一个给定的集簇,给出一种构造一个相应的集簇的方法,使得在等价的意义下,这个给定集簇的(弱)l-极小集等于其相应集簇的l-(弱)极大集.并在一定的条件下,证明了一个集簇的(弱)l-极大集是相关集簇的(弱)l-极小集.从而得到了集合最优化问题的一般性对偶原理. 展开更多
关键词 集合最优化 下关系 对偶 一般性对偶原理
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集成电路测试工艺优化方法 被引量:1
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作者 蔡锷 《信息技术》 2009年第8期162-164,共3页
依据摩尔定律集成电路上可容纳的晶体管数目,约每隔18个月便会增加一倍。若继续采用传统的集成电路测试工艺,则测试时间和测试硬件等因素将使集成电路的测试成本不断增加。旨在对传统的集成电路测试工艺进行优化,提出一种兼顾质量并能... 依据摩尔定律集成电路上可容纳的晶体管数目,约每隔18个月便会增加一倍。若继续采用传统的集成电路测试工艺,则测试时间和测试硬件等因素将使集成电路的测试成本不断增加。旨在对传统的集成电路测试工艺进行优化,提出一种兼顾质量并能有效降低集成电路测试成本的方法。 展开更多
关键词 最低限度测试集合 最优化测试集合 自适应测试集合 预测性的测试集合
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Optimal choice of parameters for particle swarm optimization 被引量:14
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作者 张丽平 俞欢军 胡上序 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2005年第6期528-534,共7页
The constriction factor method (CFM) is a new variation of the basic particle swarm optimization (PSO), which has relatively better convergent nature. The effects of the major parameters on CFM were systematically inv... The constriction factor method (CFM) is a new variation of the basic particle swarm optimization (PSO), which has relatively better convergent nature. The effects of the major parameters on CFM were systematically investigated based on some benchmark functions. The constriction factor, velocity constraint, and population size all have significant impact on the per- formance of CFM for PSO. The constriction factor and velocity constraint have optimal values in practical application, and im- proper choice of these factors will lead to bad results. Increasing population size can improve the solution quality, although the computing time will be longer. The characteristics of CFM parameters are described and guidelines for determining parameter values are given in this paper. 展开更多
关键词 Particle swarm optimization (PSO) Constriction factor method (CFM) Parameter selection
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State Space Approach to Mass Exchange Network Synthesis 被引量:1
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作者 马蔚钧 胡山鹰 +1 位作者 李有润 沈静珠 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2003年第3期312-317,共6页
State space approach is an effective method to mass-exchange network (MEN) synthesis. By decomposing the network into two interactive parts, a distribution network and a process operator, the synthesis problem can be ... State space approach is an effective method to mass-exchange network (MEN) synthesis. By decomposing the network into two interactive parts, a distribution network and a process operator, the synthesis problem can be formulated into a mixed integer nonlinear programming (MINLP) model. In this article, a generalized state space model based on typical MEN is established and verified in two cases. A new asymmetrical operator and cost index are also adopted to speed up the solution process. The results demonstrate the efficiency of the proposed approach. 展开更多
关键词 mass exchange network state space SYNTHESIS OPTIMIZATION
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Collective Directional Transport in Symmetric Periodic Potentials by Breaking the Coupling Symmetry 被引量:1
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作者 LIXiao-Wen ZHENGZHi-Gang 《Communications in Theoretical Physics》 SCIE CAS CSCD 2003年第5期549-554,共6页
Collective unidirectional motion of an asymmetrically coupled array of oscillators in symmetric periodic potentials is studied. A directed current is observed when the drift coupling is presented, while no external bi... Collective unidirectional motion of an asymmetrically coupled array of oscillators in symmetric periodic potentials is studied. A directed current is observed when the drift coupling is presented, while no external biased force is applied. Negative directed current is found when varying system parameters. An addition of a periodic rocking force may enhance the efficiency of directed transport. Resonant steps of the current are found and interpreted as the mode locking between the array and the ac force. Noise-assisted transport is observed, and an optimal noise intensity can give rise to a most efficient transport. The directed transport thus can be optimized and furthermore controlled by suitably adjusting the parameters of the system. 展开更多
关键词 directional transport mode locking stochastic resonance
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A weakly coupled data assimilation system of a coupled physical–biological model for the northeastern South China Sea
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作者 LI Xia ZHU Jiang 《Atmospheric and Oceanic Science Letters》 CSCD 2016年第5期352-360,共9页
A weakly coupled data assimilation system was established for a coupled physical–biological model for the northeastern South China Sea(NSCS). The physical model used was the Regional Ocean Modeling System; the biol... A weakly coupled data assimilation system was established for a coupled physical–biological model for the northeastern South China Sea(NSCS). The physical model used was the Regional Ocean Modeling System; the biological component was a seven-compartment nitrogen–phytoplankton–zooplankton–detritus ecosystem model; and the data assimilation method was Ensemble Optical Interpolation. To test the performance of the weakly coupled data assimilation system, two numerical experiments(i.e. control and assimilation runs) based on a process-oriented idealized case were conducted, and climatological SST was assimilated in the assimilation run. Only physical variables were adjusted in the weakly coupled data assimilation. The results showed that both the assimilated SST and other unassimilated physical variables had reasonable process responses. Due to the warmer SST observation, the water temperature(salinity) in the assimilation run increased(decreased) in coastal upwelling regions. Both the alongshore and bottom cross-shore currents were reduced, jointly demonstrating the weakening of the upwelling system. Meanwhile, ecosystem variables were also affected to some extent by the SST assimilation through the coupled model. For example, larger phytoplankton(chlorophyll) productivity was found in the upwelling region within the shallow layer due to the warmer waters in the assimilation run. Hence, the application of this data assimilation system could reasonably modify both physical and biological variables for the NSCS by SST assimilation. 展开更多
关键词 Northeastern South China Sea coupled physical–biological model Ensemble Optical Interpolation SST assimilation process response
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THE 'HYBRID' TECHNIQUE FOR RISK ANALYSIS OF SOME DISEASES 被引量:2
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作者 SHANGHANJI LUYUCHU +1 位作者 XUXUEMEI CHENQIAN 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2001年第4期475-484,共10页
Based on the data obtained from a survey recently made in Shanghai, this paper presents the hybrid technique for risk analysis and evaluation of some diseases. After determination of main risk factors of these disease... Based on the data obtained from a survey recently made in Shanghai, this paper presents the hybrid technique for risk analysis and evaluation of some diseases. After determination of main risk factors of these diseases by analysis of variance, the authors introduce a new concept ’Illness Fuzzy Set’ and use fuzzy comprehensive evaluation to evaluate the risk of suffering from a disease for residents. Optimal technique is used to determine the weights wi in fuzzy comprehensive evaluation, and a new method ’Improved Information Distribution’ is also introduced for the treatment of small sample problem. It is shown that the results obtained by using the hybrid technique are better than by using single fuzzy technique or single statistical method. 展开更多
关键词 Illness fuzzy set STATISTICS Fuzzy comprehensive evaluation Information distribution OPTIMIZATION
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