查询词典 discrete optimization problem

The first kind of the digital signature schemes is based on the discrete logarithm problem and second kind of the digital signature scheme is based on discrete logarithm and factorization problem, the third kind of the digital signature schemes is based on quadratic residue problem.

本文第一章对数字签名方案进行分类，根据数字签名方案所基于的数学问题，将签名方案分为：基于离散对数问题的数字签名方案，基于素因子分解问题的数字签名方案和基于二次剩余问题的签名方案。

In this dissertation, firstly, the theories and methods about chaos control and chaotic optimization are studied. Based above, some new approaches for chaos control and chaotic optimization are proposed. Furthermore, the application of chaotic optimization for test generation of combinational logic circuits is investigated in detail, and new methods for test generation are proposed based on chaotic optimization.

本论文在对混沌控制与混沌优化的相关理论和方法进行较为全面、系统的研究基础上，提出了一些新的混沌控制与混沌优化方法，并针对混沌优化与混沌神经网络在组合电路测试生成问题中的应用展开了详细研究，提出了基于混沌优化的组合电路测试生成方法，得到了有价值的成果。

The reliability theory is combined with the fuzzy optimization technique, the theories and methods on the symmetrical fuzzy reliability optimization design, the asymmetric fuzzy reliability optimization design and the multi-objective fuzzy reliability optimization design are presented respectively, and then the correspondence direct model solutions, the iterative solutions, the corrected algorithm for iteration method, the level cuts solutions and the searching solutions with limited boundary for the asymmetric fuzzy reliability design are presented respectively.

将可靠性理论与模糊优化技术有机地结合起来，提出了结构对称模糊可靠性优化设计、非对称模糊可靠性优化设计和多目标模糊可靠性优化设计理论与方法，并分别给出了模型的直接解法、迭代解法、迭代求解的改进算法和非对称模糊可靠性优化设计模型的水平截集法和限界搜索法。

The course is a comprehensive introduction to the theory, algorithms and applications of integer optimization and is organized in four parts: formulations and relaxations, algebra and geometry of integer optimization, algorithms for integer optimization, and extensions of integer optimization.

本课程对整数最优化的理论、算法和应用做了全面的介绍。课程分为四部分：公式和松弛、整数最优化的代数学和几何学、整数最优化的算法，以及整数最优化的拓展。

The main works include five parts:(1) A modified K-means algorithm for optimizing the RBPNNs' structures was proposed;(2) The RBPNNs' structure optimization method based on the orthogonal least square algorithm was proposed that can greatly reduce the computation expense for the structure optimization;(3) Using the GA to perform the whole structure optimization of the RBPNNs was proposed in this thesis, which include simultaneous optimization of the hidden centers and the corresponding controlling parameters of the kernel functions.

主要工作体现在如下三个方面：(1)提出一种改进的 K-Means 算法；(2)提出了基于递推正交最小二乘算法的结构优化算法来训练径向基概率神经网络，从而大大减小了用于结构优化的计算开销；(3)提出使用遗传算法来实现径向基概率神经网络的全结构优化，即隐中心矢量和核函数控制参数同时优化，通过新设计的编码方式、新构造的适应度函数，充分发挥了 GA 的全局搜索性能，使得所优化的径向基概率神经网络的结构趋于最简。

In order to relieve urban traffic congestion and the supply-demand contradiction of oversaturated intersection group,based on the idea and method of system engineering,model oversaturated intersection group system which is composed of oversaturated intersection subsystem,through system function analyzing,identify the optimization object of system function,establish the optimization model of oversaturated intersection group,present solving strategy of the optimization model,achieve global optimization of oversaturated intersection group system.

为缓解城市交通拥堵以及过饱和交叉口群的交通供需矛盾，基于系统工程的思路和方法，构建了由过饱和交叉口子系统构成的过饱和交叉口群系统模型，并通过系统功能的分析，明确了系统功能的优化目标，建立了过饱和交叉口群系统优化数学模型，并提出了优化模型的求解策略，以实现过饱和交叉口群系统的全局最优化。

To analyze quantitatively the performances of genetic algorithms used in aerodynamic optimization design and the effects of the skills introduced, the numerical test planform for genetic optimization models is set up on Microsoft Fortran Powerstation. As applications, several aerodynamic optimization designs for airfoil, wing and aircraft are carried out to testify the adaptation of genetic optimization models.

建立了以Fortran Powerstation 4.0为开发环境的各种遗传优化模型的数值试验平台，对各遗传算法、改进技术及其优化模型的性能（优化质量和优化效率、可操作性）进行定量分析，并在此基础上建立了翼型、机翼和全机的优化设计软件系统。

The DHSPSO was applied to the high-dimensional optimization problems and simulation results showed that DHSPSO manifested better optimization results such as greater optimization speed, accuracy, and successfulness ratio of optimization.

以多个标准测试函数优化进行仿真测试，结果表明，DHSPSO算法在进行高维优化问题时，在寻优速度、精度和成功率等方面均显示出良好的优化效果。

So, based on research on agroforestry system and structure optimization technology, this paper gives a theoretical and quantifiable study on structure optimization of agroforestry system on scales of among or in land cell, aspects including selection of species, dimension optimization, topological structure optimization and evaluation.

为此，本文在综合国内外农林复合系统研究以及结构优化技术研究的基础上，在土地单元间和土地单元内两个尺度上，植物材料选择、尺寸结构优化、拓扑结构优化以及优化模式评价四个层次，对三峡库区的农林复合系统结构优化进行了理论以及定量研究。

This thesis investigates the profile extraction and shape optimization on the result of topology optimization of planar compliant mechanisms. The main context includes the following work:(1) summarizing and analyzing the recent research status, some harvest and unsolved problems;(2) analyzing the conceptual design of planar path-generating compliant mechanisms and its mathematical model and tools;(3) Modifying the method of density contour as the method of profile extraction, and developing a method to optimize the density function in the profile extraction according to the requirement of the design of compliant mechanism;(4) developing a method to abstract the compliant mechanism into a form of links and joints by using the principle of connectivity on topology;(5) developing a method of shape optimization of planar path-generating compliant mechanisms, by representing the profile of the abstracted compliant mechanism as simple curves such as straight lines and arcs, establishing the models of the size optimization of the parameters of these curves, so that the compliant mechanism has a machinable shape;(6) At last, proving the feasibleness and effectiveness of the design method by making simulation design and validating it in FEA software.

主要工作包括：(1)分析了柔顺机构拓扑优化和形状优化的研究现状，分析了目前柔顺机构的研究重点、主要成果和尚未解决的问题；(2)分析了基于SIMP的柔顺机构概念设计方法及其相关工具和模型；(3)针对柔顺机构轮廓提取的特殊要求，提出了密度等值线法的改进方案，对密度函数插值点密度值进行优化，提出优化模型和选择优化算法；(4)根据轨迹输出平面全柔顺机构自身的形状特点，提出了轨迹输出平面全柔顺机构的抽象方法，即应用拓扑学上的连通性原理将柔顺机构抽象成杆件和结点形式，并对相应的数学原理进行了证明；(5)提出了平面全柔顺机构的形状还原和尺寸优化方法，对抽象的柔顺机构进行还原，将其轮廓还原成简单曲线的连接，从而建立尺寸优化模型，对机构进行尺寸优化设计，在得到可加工的机构轮廓的同时又能对关键部位进行特别处理；(6)进行了柔顺机构的数值仿真设计，并将所得设计结果导入商用有限元软件中进行仿真实验，证明了设计方法的可行性和有效性。

A carrier gas such as nitrogen is directed through line 20 and valve 22 to connect with line 26 and mix with the gas sample.

如氮气之类的载体通过管线20和阀22引入，与管线26相通，与气体样品混合。

But for the most part, knaves and parasites had the command of his fortune

然而支配他的家产的大多是恶棍和寄生虫。