约束优化

In this thesis we discuss trust region algorithms for constrained nonlinear optimization problems by three chapters.

本文主要研究约束非线性优化问题的信赖域算法，全文分为三章。

Particularly, the arithmetical examples with an imaginary city whose basic travel parameters are similar to Chinese cities are demonstrated for the ambient quality-oriented stage and energy consumption-oriented stage of CUTP evolution.

对环境质量导向和能源消耗约束两个阶段的客运结构优化模型，进行了实证研究。

In addition, the return mapping algorithm is built in negative normal convex cone of violated constraints of level sets to conveniently give an initial structure with multi-constraints, multi-materials and non-design domains.

在这些研究的基础上，提出了适用于一般目标函数、多材料、多约束和多载荷工况的结构拓扑优化的水平集算法4.1，并给出了刚性结构、柔性机构和复合材料微结构设计算法5.1、6.1和7.1，以及大量的数值算例。

This dissertation focuses on solving this convex optimization problem byanalytical approaches.

由于各层协议的设计都会影响整个网络能量的消耗，NLM问题需要综合考虑各层协议的约束，因此本文采用跨层优化的方法解决这类问题。

By using this method, the angular frequency, amplitude, initial phase angle, decay constant of each component in transient voltage and/or current waveforms can be precisely extracted. Also, all other kinds of transient procedure can be analyzed by this method. Thirdly, a new definition of generalized instantaneous reactive power and generalized instantaneous reactive current in dq0 coordinates under any nonsinusoidal and unbalanced three-phase circuit is proposed for the first time. The detection and compensation method for different instantaneous reactive currents are also concerned.

本文首先提出了用于快速高精度频谱分析的一种改进快速傅立叶变换方法，该法具有速度快、精度高、抗混迭、不受采样定理约束、可以分析出谐次大于N／2的频谱系数等特点，可方便地应用于电力系统谐波分析及其它各类频谱分析；然后提出了基于非线性最小二乘优化法的电力系统暂态波形分析方法，可准确求出电力系统暂态电压、电流波形中各个分量的角频率、幅值、初相角及衰减常数，并可广泛应用于各类暂态过程波形分析。

Based upon the energy-dissipation mechanism, the mechanical model of the damping layer sandwiched by plates or cylindrical shells is set up with the deformation energy method and the theory of modal analysis.

最后，从理论上首次推导了板壳类结构局部约束阻尼处理的优化位置。

Without calculating derivate of objective function, the flexible tolerance polyhedron method has been used as optimization scheme.

以某三级风扇为算例，研究了不同优化目标、约束条件的转角调节规律。

A deterministic global optimization algorithm based on linear relaxation is proposed for locating the global minimum of the generalized geometric programming with inequality constraints.

3针对具有不等式约束的广义几何规划，提出一种基于线性松弛的确定型全局优化算法。

Sequential quadratic programming , penalty function method, trust domain method, constraint DFP .

对于约束最优化问题的研究一直是优化专家们研究的热门方向之一。

This method can overcome the defects of traditional analytical optimization methods: they are hard to suit the conditions of discontinuous objective function and disconnected constrained domain. At the same time, the quantities measured by PMU can fully give play to maximum advantage while limited PMUs are placed.

该方法克服了传统解析优化方法难以适应不连续目标函数和不连通约束域等情况的缺点，同时，在配置有限PMU的情况下使PMU量测量发挥最大效益。

What would he tell Judith and the children?

他将怎样告诉朱迪丝和孩子们呢？

I this is at that time, the opinion with peacockish true girl is full of in a heart.

这就是当时的我，一个心中布满虚荣的女孩子真实的想法。