最优化

Firstly establishing mechanical model of casing structure , and then processing casing forces analysis using space finite-element method and superposition method(put structure stress and outer force stress together), it computes the stress of casing in three dimensions, and gets the internal force and transmutation. The structure of casing-coadjutor is computed overlaply and the question of contact is solved. In the aspect of design, it provides the mixed integer-discrete variable optimization method of casing cross section size and coadjutor layout.

本文就上述两个问题的最优化设计展开研究，首先建立了套管结构的力学模型，进行套管的受力分析，用了空间有限元法和叠加法(结构应力和外载应力相叠加)，对套管进行三维计算，确定结构的内力和变形，对套管—扶正器结构进行整体的叠代计算，解决接触问题；在设计方面，提出了解决套管截面尺寸参数和扶正器布局的混合整数—离散变量优化方法。

Optimization and modeling of boric acid extraction from colemanite in water saturated with carbon dioxide and sulphur dioxide gases.

在二氧化碳及二氧化硫饱和水溶液中从硬硼钙石提取硼酸最优化方案的研究。

By the theories of cavitations and free volume, it analyses the factors on lubricant low-temperature property in view of molecule structure, brings up effective ways to improve the low-temperature properties, conducts plenty of testing with even designs, and then investigates and tests the lubricant's low-temperature properties with computerized system; it analyses the data by regressi on method and optimizes the solving, and studies on the base oil of environment friendly lubricants and selects the composition of colza oil, esters and PAO2, and discusses on low-temperature flowability of vegetable-base lubricants.

应用空穴理论及自由体积理论，从分子结构角度分析了影响润滑油低温性能的因素，提出了改善对润滑油低温性能的有效途径，组织了大量试验，通过润滑油的计算机检测系统对润滑油的低温性能进行了分析检测，采用均匀设计来组织实验；用逐步回归对数据进行分析并且进行最优化求解，对环境兼容润滑油的基础油进行了分析研究，选择菜籽油、季戊四醇酯和聚α-烯烃作为基础油，并从理论上对植物基润滑油的低温流动性进行了探讨。

By the theories of cavitations and free volume, it analyses the factors on lubricant low-temperature property in view of molecule structure, brings up effective ways to improve the low-temperature properties, conducts plenty of testing with even designs, and then investigates and tests the lubricants low-temperature properties with computerized system; it analyses the data by regression method and optimizes the solving, and studies on the base oil of environment friendly lubricants and selects the composition of colza oil, esters and PAO2, and discusses on low-temperature flowability of vegetable-base lubricants.

应用空穴理论及自由体积理论，从分子结构角度分析了影响润滑油低温性能的因素，提出了改善对润滑油低温性能的有效途径，组织了大量试验，通过润滑油的计算机检测系统对润滑油的低温性能进行了分析检测，采用均匀设计来组织实验；用逐步回归对数据进行分析并且进行最优化求解，对环境兼容润滑油的基础油进行了分析研究，选择菜籽油、季戊四醇酯和聚α-烯烃作为基础油，并从理论上对植物基润滑油的低温流动性进行了探讨。

By the theories of cavitations and free volume, it analyses the factors on lubricant low-temperature property in view of molecule structure, brings up effective ways to improve the low-temperature properties, conducts plenty of testing with even designs, and then investigates and tests the lubricant's low-temperature properties with computerized system; it analyses the data by regression method and optimizes the solving, and studies on the base oil of environment friendly lubricants and selects the composition of colza oil, esters and PA02, and discusses on low-temperature flowability of vegetable-base lubricants.

应用空穴理论及自由体积理论，从分子结构角度分析了影响润滑油低温性能的因素，提出了改善对润滑油低温性能的有效途径，组织了大量试验，通过润滑油的计算机检测系统对润滑油的低温性能进行了分析检测，采用均匀设计来组织实验；用逐步回归对数据进行分析并且进行最优化求解，对环境兼容润滑油的基础油进行了分析研究，选择菜籽油、季戊四醇酯和聚α-烯烃作为基础油，并从理论上对植物基润滑油的低温流动性进行了探讨。

Scheduling is a kind of important combinatorial optimization problem.

排序问题是一类重要的组合最优化问题。

It can be boiled down to combinatorial optimization problem in mathematics.

这是一种复杂的带性能约束的立体空间布局问题，在数学上可以归结为组合最优化。

Scheduling is an important combinatorial optimization problem.

调度问题是一类重要的组合最优化问题。

This paper gives several non-linear difference equations based on the orthogonality,regularity and standardity of the orthogonal wavelet with compact support.

从紧支撑正交小波滤波器的正交性、规范性及正则性条件出发，获得了求解滤波器系数的非线性差分方程组，并采用最优化方法求解。

The primary work of this paper includes: 1 The general process and the fundamental theory of genetic algorithm is introduced systematically, which is also be applied to an example; 2 The penalty function method and the constraint tournament method are introduced in the paper, which are used to process the constraint limit. Via analyzing the basic principle of NSGA-II ,which is elaborated in the paper, the fast non- dominated sorting method, congestion distance and its comparison operator, the elite strategy and the main process of NSGA-II is researched particularly. 3 Via modeling the fire distribution problem, the model is computed by the algorithm of NSGA-II, which is combined with both the penalty function method and the restraint league tournament method The optimization of two goals are also realized in the paper. The results derived from the VC++6.0 indicate that, two algorithms both have the high convergence, simultaneously the Pareto optimal solution also maintain the variety of distribution.

本文所作的主要工作如下：系统地介绍了遗传算法的一般流程和基本理论，并应用于一个函数优化的实例；研究了用于处理约束限制的罚函数法和约束联赛法，论述了NSGA-II的基本原理，并对其提出的快速非支配排序法、拥挤度及其比较算子、精英策略及NSGA-II的主要流程作了详细的研究；建立了火力分配问题的模型，并将NSGA-II算法分别与罚函数法和约束联赛法相结合对该模型进行了计算，实现了对两个目标的最优化；用VC++6.0编程计算后所得的结果表明，两种算法均具有很好的收敛性，同时Pareto最优解也保持了好的多样性分布。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。