约束优化

The first model is the optimization problems with s linear objective function subject to a system of fuzzy relation equations and a system of fuzzy relation inequalities, which are solved by using path method and 0-1 integer programming with branch and bound method.

第一种为约束为模糊关系方程和模糊关系不等式的具有线性目标函数的优化问题，采用路径法及0-1整数规划中的分枝定界法对其求解；第二种为约束为模糊关系方程和模糊关系不等式的格线性规划问题，采用直接法、路径法及0-1整数规划法对其求解；第三种为模糊关系不等式为模糊的，即约束中有一个可接受的容差，采用容差法及正负理想法对其求解；第四种是一种新的可能性模糊线性规划问题，采用模糊数大小比较法、"切片-粘贴"法及正负理想法，并设计了随机模拟的遗传算法对其求解；第五种为期望值模型，利用期望值将其转化为清晰约束系数的线性规划问题的方法。

The content of our curriculum are:Optimization under unconstrained conditions and constrained conditions,we'll focus on common methods of this field like Conjugate gradient method,DFP,POWELL method,The multiplier method,Penalty Function Method and so on.

主要讲授内容为无约束条件及有约束条件下的优化设计，重点介绍了共轭梯度法，变尺度法，POWELL法，乘子法，惩罚函数法等电路优化的常用方法。

This paper proposes a model for reactive power optimization considering UPFC based on the interior point algorithm .

基于内点优化方法，提出了计及UPFC的无功优化模型，以系统网损最小为目标函数，采用UPFC电压源模型，将其作用等效为一系列电压和功率的约束，直接放到内点法的约束中，在不同的负荷运行方式下进行了优化分析。

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。

Finally, according to the various properties of the optimization algorithms, the optimization algorithms have been applied to predicting the silicon content of hot metal and to optimizing the operation parameters of the blast furnace to meet the need of the higher hot metal output and the lower coke rate. Major research work in this paper includes:(1) Based on the study of the statistic property of the Logistic chaos map, the author has proposed the nested intervals chaos search method which improves the ergodicity of the chaos search by searching the area once more where the probability distribution is small.

高炉炼铁生产是一个复杂的非线性过程，高炉生产操作参数的优化涉及优化模型的建立、多目标优化、约束条件的检验等多个问题，对于这么一个复杂的优化问题，传统、单一的优化方法已存在局限性，因此本文研究了两种新型的具有不同特点的优化方法：基于混沌理论的优化方法和基于人工免疫理论的优化方法，并设计了几种混合优化方法。

The traditional query tree optimization methods,parallel database optimization methods based on left linear trees and right linear trees,bushy trees,and operation of the forest,have their own pros and cons,they have been more in-depth and maturity of the study.The query optimization method based on multiple weighted tree has studied its model of parallel query plan,its complexity model of parallel query plan and query optimization algorithms.The semantic query method transforms an inquiry into one or several semantic equivalence inquiries then has to find and implement a strategy to achieve a better query.Agent-based parallel database query optimization using Multi-Agent technology to automatically search the integrity constraint conditions which are related to the determined query,there for,the efficiency between several relations' joins has been greatly improved.The parallel optimization algorithm,based on genetic algorithm which is suitable for multi-joins of cluster environment,has deeply studied the relations storage options,multi-joins query optimization and query processing and other key technologies based on cluster parallel database.

传统的查询树优化方法，即基于左线性树、右线性树、浓密树、操作森林的并行数据库查询优化方法，各有优劣，对其的研究比较深入、成熟；基于多重加权树的查询优化方法，研究了其并行查询计划模型、并行查询计划的复杂性模型和查询优化算法；语义查询优化方法将一个查询变换成一个或数个语义等价的查询，进而寻找并执行这些等价查询中具有较好实现策略的一个；基于Agent的并行数据库查询优化采用Multi-Agent技术自动查找与给定查询有关的完整性约束条件，使得多个关系间连接操作的效率得到很大的提高；基于遗传算法的并行优化算法，深入研究了基于机群并行数据库中关系存储的选择、多连接查询优化和查询处理等关键技术。

Within the optimization of systematic level of cooperated optimization, the slack variable is introduced to let the restraint of consistency equality be transformed to the restraint of non-equality. The value adoption of slack variable will affect the convergence speed in the optimization of systematic level.

在协同优化的系统级优化中，引入松弛变量，将一致性等式约束转化为不等式约束，松弛变量的取值影响系统级优化的收敛速度。

SUI Yunkang, different filter functions of element weight, element allowable stress and element stiffness are introduced to change the 0-1 type discrete topological variables to continuous topological variables between 0 and 1, thus a topological optimization model with continuous topological variables is built.

删除无效约束技术就是在近似射线步以后，根据一定的准则，将约束分为无效约束和有效约束，删除无效约束，保留有效约束，减小优化模型的规模，提高求解效率。

A simple artificial immune network algorithm, suitable for clustering problems with a small quantity of samples, is obtained by using the idiotype immune network. Further, a fuzzy immune network classification algorithm applied to sample classification learning is proposed by uniting the algorithm and fuzzy logical rules.

其次，利用抗原群及抗体群的作用关系，结合免疫记忆细胞的记忆功能，并借助于克隆选择原理、免疫网络的调节机制及约束条件处理方法，设计约束多目标优化免疫算法处理约束多目标优化问题，收敛性论证、性能测试、比较及实际应用表明此算法是有效的。

In this paper, taking the reliabilities of constraints into the modified constraint conditions, optimum design of object function was carried.

在优化设计的平台上，综合考虑每一约束的可靠性，产生通过可靠性设计后的改性约束条件，再在众多的改性约束条件的前提下，进行目标函数的优化设计。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。