一类新的非线性比式和问题的分枝定界算法(英文)

对一类新的非线性比式和问题(SNR)提出分枝定界算法,该问题的研究还很少.首先,通过两层线性化技术,构造一个松弛线性规划,求解该线性规划问题,得到问题(SNR)最优值的下界.其次,介绍新的下界更新技术,证明所给算法的收敛性.数值试验显示了算法的可行性和有效性     

DC programming techniques for solving a class of nonlinear bilevel programs

We propose a method for finding a global solution of a class of nonlinear bilevel programs, in which the objective function in the first level is a DC function, and the second level consists of finding a Karush-Kuhn-Tucker point of a quadratic programming problem. This method is a combination of the local algorithm DCA in DC programming with a branch and bound scheme well known in discrete and global optimization. Computational results on a class of quadratic bilevel programs are reported.     

布尔环上的分支Gr(o)bner基算法

众所周知Gr\"obner基在很多领域都有着十分重要的应用.近些年来Gr\"obner基算法有了很大的改进,其中最著名的是Faug\`ere提出的F4和F5算法. 这两个算法具有很高的效率但通常需要消耗大量的内存.鉴于此,将给出一个布尔环上基于zdd数据结构的分支Gr\"obner基算法,该算法不仅可以大大降低对内存的消耗,还能有效的控制矩阵规模,从而提高算法的整体效率.详细阐述并证明了算法的基本理论,介绍该分支算法的数据结构及分支策略.最后通过实验数据可以发现,在很多例子中此算法都要优于Magma中的F4算法.     

带有分支输流管道控制方程的参数变换、

输流管道的非线性振动问题研究为当前学术界的热点课题。本文在研究带有分支管路输流管道并推导出其控制微分方程的基础上,进一步分析了与控制微分方程相关的各项参数之间的关系,为了更加方便地采用数学方法进行研究．对该方程应用无量纲化的方法进行了参数变换,从而将该物理方程的研究转换为计算数学问题,为后续Galerkin离散化及数值计算的进行提供了可能。     

大型水电机组匝间短路保护动作性能分析

随着我国水力发电的大规模发展,水电机组的单机容量越来越大,对大容量水电机组配置有效的主保护方案对机组和系统稳定运行具有重要意义。大容量水轮发电机定予绕组采用多分支结构,其内部故障数量巨大,根据以往的保护设计经验,相间故障一般由纵差保护灵敏反应,本文分析了三峡右岸哈电机组的绕组结构和内部故障形式,利用暂态仿真结果对匝间保护动作性能进行分析,给出了匝间保护配置建议。     

关于L-拓扑空间中连通性的几个问题

本文指出,王国俊的专著《L-fuzzy拓扑空间论》中关于连通性的许多不成立的结论,在fuzzy格L的最大元1是分子的情况下仍成立。从而得到一般连通L-集的新刻画与新性质．并证明了这种连通性是L-好推广。     

最大割问题的二次规划方法

本文给出了最大割问题的二次规划算法。这种算法通过求解最大割问题的二次规划松弛给出了一种较好的界，然后用分支定界法得到了最大割问题的解。数值结果表明这种算法是非常有效的。     

Laser induced fluorescence in NO2: absolute fluorescence cross sections and quantum yields

Spectrally resolved collision-free absolute fluorescence cross sections have been measured, for NO₂ excited, by the second harmonic of the Nd: YAG laser. The total cross section into the 523.0–650.0 nm range was found to be 2.3 × 10^?20 cm². The measured absorption cross section of 1.46 × 10^?19 cm² implies a quantum yield of 16% over this range.     

ANALYSIS OF BRANCHING DISTRIBUTION IN POLYETHYLENES BY DIFFERENTIAL SCANNING CALORIMETRY

Short chain branching has been characterized using thermal fractionation, a stepwise isothermal crystallizationtechnique, followed by a melting analysis scan using differential scanning calorimetry. Short chain branching distributionwas also characterized by a continuous slow cooling crystallization, followed by a melting analysis scan. Four differentpolyethylenes were studied: Ziegler-Natta gas phase, Ziegler-Natta solution, metallocene, constrained-geometry single sitecatalyzed polyethylenes. The branching distribution was calculated from a calibration of branch content with meltingtemperature. The lamellar thickness was calculated based on the thermodynamic melting temperature of each polyethyleneand the surface free energy of the crystal face. The branching distribution and lamellar thickness distribution were used tocalculate weight average branch content, mean lamellar thickness, and a branch dispersity index. The results for the branchcontent were in good agreement with the known comonomer content of the polyethylenes. A limitation was that high branchcontent polyethylenes did not reach their potential crystallization at ambient temperatures. Cooling to sub-ambient wasnecessary to equilibrate the crystallization, but melting temperature versus branch content was not applicable after cooling tobelow ambient because the calibration data were not performed in this way.     

Apical-dominant particle swarm optimization

Particle swarm optimization （PSO） is a new stochastic population-based search methodology by simulating the animal social behaviors such as birds flocking and fish schooling. Many improvements have been proposed within the framework of this biological assumption. However, in this paper, the search pattern of PSO is used to model the branch growth process of natural plants. It provides a different potential manner from artificialplant. To illustrate the effectiveness of this new model, apical dominance phenomenon is introduced to construct a novel variant by emphasizing the influence of the phototaxis. In this improvement, the population is divided into three different kinds of buds associated with their performances. Furthermore, a mutation strategy is applied to enhance the ability escaping from a local optimum. Simulation results demonstrate good performance of the new method when solving high-dimensional multi-modal problems.