非线性优化

The combinatorial and delimitative algorithm can be used to solve the problem. A software called "Power Discrete" to implement this algorithm is developed by using Microsoft Visual6.0. It is a useful tool for linear programming problem with discrete variables and for discrete optimum design of structures, and in addition, the software also includes other algorithms such as genetic algorithm.

在国际上， 20世纪 60年代末期和 70年代初期，研究人员已开始对工程离散变量优化设计问题进行研究，但由于当时对于连续变量的非线性规划问题的研究还不够深入，所以在 70年代和80年代，研究的重点集中于连续变量的非线性规划问题。

The numercial simulation has been carried out, and the experimental results show that this method has been improved significantly comparing with the traditional one in nonlinear optics. Secondly, a second order system of semilinear elliptic equations, which comes from a mathematics model of the electric potential distribution of a media surrounded with the protein, is transformed into a variational problem, the existence of solution of it is proved by using variational principle and Trudinger—Moser inequality, and the relation between the solutions of variational problem and the solutions of its dual problem is obtained.

首先，讨论了非线性光学中的二次谐波产生的耦合方程组，利用变分法证明了耦合方程组非平凡解的存在性，然后进行了数值模拟，实验结果表明文中方法比经典的非线性光学中的方法有较大的改进，这对优化光倍频器件的设计将有所帮助；其次，将一类二阶半线性椭圆型方程组转化为一个变分问题，然后利用变分法和

A class of bilevel multi-objective programming was converted into the problem of equivalent single-level multi-objective programming. Then a new chaos genetic optimization algorithm was presented by using the inversion property of genetic algorithm and the ergodic property of chaos optimization method and combining with the exact l_1 penalty function.

针对求解一类二层多目标规划问题，首先将其转化为等价的单目标规划问题，然后利用遗传算法优化的反演性和混沌优化方法的遍历性，并结合精确罚函数求解非线性约束优化问题，提出了求解此类问题的混沌遗传算法。

This paper provides a process: according to the experimental data from the groundsill load experiment, we can identify the parameter of the loess nonlinear model by using the genetic algorithm before construct the building. By the parameter we can forecast the groundsill distortion.

本论文所作的工作提供了这样一种思路，依据建筑物建造之前，从地基土载荷试验中获取的试验数据，通过由遗传算法所建立的黄土非线性本构模型参数反演的方法，可以进行黄土非线性本构模型参数的优化识别。

According to invalidate transform between non-linear constraining function and linear constraining function, and the disable partial differential coefficient of first order for objective function, GA has been chosen for the built mathematic mode, also, the conception of GA, its computing process, features, and operating parameters are introduced irrespectively in this article, meantime, a managerial software for oil pipeline's optimization is programmed.

根据优化模型中的非线性约束函数无法化为线性约束函数，目标函数无法求一阶偏导数的特点，本文从众多优化方法中选择遗传算法对所建立的数学模型进行求解，并对遗传算法的概念、计算步骤、特点、运行参数等逐一进行介绍，并编写了输油管道优化运行管理的软件。

The optimal control problem for the FCC process is solved using the MFNN (multilayer feedforward neural network) for system recognition and modeling, periodogram analysis for model testing, and the advanced Frank-Wolfe algorithm for steady state optimization computation.

为解决催化裂化过程的优化控制问题，采用多层前馈神经网络进行辨识、建模，用周期图检验法对模型检验，用改进的Frank-Wolfe算法进行稳态优化计算，并以大港炼油厂实际生产过程的稳态数据进行试验和验证，说明神经网络适合于解决非线性复杂生产过程的辨识、建模和稳态优化控制问题。

With the improvements to the initial population and disposal of objective function, we choose DE as the searching method in EAFSC to investigate it performance in classic unrestraint optimization, Minimax Optimization and nonlinear equations.

其次结合对初始种群和目标函数的处理，以DE为例分别探讨EAFSC在典型的无约束优化、Minimax优化和约束优化问题、非线性方程及方程组求根中的应用。

By taking optimization for culture media of diamondback moth as example,theoretical research of SVR model in media optimization was carried out.Based on initial composition,Secondary Leave-one-out was carried out after kernel optimization and descriptors screening,the precision is higher than linear regression model,it is showed that SVR is proper for media optimization.

本文首先以文献报道的小菜蛾饲料配方优化数据为例，建立基于SVR优化配方、分析因子效应的方法学：从原始配方样本集出发，以SVR进行核函数寻优和自变量筛选后实施双重留一法预测，预测精度优于多元线性回归模型，表明非线性的SVR更适合用于优化配方。

The effect of iner- tia weight factor on performance of PSO is discussed.The results show that the particle swarm optimiza- tion algorithm with nonlinear inertia weight factor is suitable to solve multivariahle optimum design prob- lem...

结果表明，带动态非线性惯性因子的微粒群算法对求解多变量的干燥优化设计问题具有方法简单、所需微粒群规模小、收敛速度快等特点；采用部分废气循环并进行优化设计对干燥系统的节能具有十分重要的意义，对湿空气出口温度和废气循环比进行优化设计，其年总费用比无废气循环的常规设计节省18.2%，比循环比为0.2时的常规设计节省12.6%。

Taking Rong hu bridge project as the background, the paper Studies on the optimization of dead load cable tension, construct system of controlling, effect of non-linear factor, limit bearing capacity of structure and spatial stress of concrete-filled steel tubular tower and the combination of girder, which are based on the hybrid cable-stayed bridge.Asking for the maximal deformation of tower and girder to be minimized and cable permissible stress as constraint conditions, the paper tries to solve the ideal dead load cable tension by combining finite element calculation and optimize analysis.

本文以蓉湖大桥工程为背景，就混合梁斜拉桥的成桥恒载索力优化、施工监控体系、过程非线性因素影响、结构极限承载力、索塔和主梁结合部的空间应力分析等问题开展研究：关于索力的优化，是以斜拉桥索塔和梁的最大变位最小为目标，以拉索容许应力为约束条件，采用有限元计算与优化分析相结合的方法来确定斜拉桥的成桥合理恒载索力。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。