目标函数

On the other hand, if the damage position and the damage size are used for description of the structural damage, the mathematical model is actually stated as a discrete structural optimization problem with unknown number of design variables, since the number of damages can not be given in advance.

本文采用极大极小问题构造损伤识别的优化模型，通过凝聚函数将极大极小问题转化为一个目标函数连续可微的无约束优化问题，采用基于灵敏度分析的序列线性规划方法求解。

The Mixed Discrete variable Complex Programming method is used to solute the mathematical model of oil pipeline.

该方法可以根据所求解问题的规模、目标函数和约束函数的形态和复杂程度，在运算过程中对所输出的信息进行人工干预或改变计算策略，把程序的机械运行和使用者的智慧融合在一起，有效灵活地解决离散变量约束非线性

This thesis builds optimal model which takes the four-cylinder double-acting Stirling engine model as objective function and takes actual conditions as constraints, and use quasi-Newton method and penalty function method to slove this problem.

论文以建立的模型为目标函数、以具体实际情况为约束条件建立了发动机参数最优化模型，应用拟牛顿法和惩罚函数法实现了对最优化模型的求解。

Based on genetic algorithm,a new hybrid coding method using the integer and floating number was presented. The enumerable method guarantees each individual in the population to satisfy the constrains, thus the punishment function was avoided. The two adjustable parameters made the evolution process jump out of the local best solution perfectly.The application of the fitness assignment based on Pareto ranking attained inferior solution set of the multi-objective and multiple options were provided to the decision-maker.

设计了一种新的整数和浮点数结合的编码方式；通过列举法使得每代个体满足约束条件，避免了罚函数的使用；可调整的双参数变异算子使进化过程能够较好地跳出局部最优解；应用基于Pareto排序的适应值分配方式得到目标函数的非劣解集，为决策者提供了多种选择方式。

For a class of generalized fractional programming whose objective function is composed of infinite fractions,the saddle-point type optimality criteria are proven by using the existing necessary conditions,under the assumption of the class of B--invexity.

对于一类目标函数中有无限个分式的广义分式规划，给出一个不完全Lagrange函数，并利用已有的最优性必要条件，在B--不变凸性的条件下，证明了鞍点最优性准则。

The optimal scheme is gained by taking the generalized distance as objective function and the scheme performance requirements as constraint conditions.

该模型定义了方案功能载体间的广义距离，以广义距离函数作为方案组合优化的目标函数，以方案的性能要求作为约束条件进行优化并获得方案的最优解。

In this paper, the authors transform the problem of undirected graph drawing to the problem of function optimization, then use genetic algorithms to find approximate optimal solutions of the objective function, and thus obtain a general structure of undirected graph drawing algorithms.

将一般无向图的画图问题转化为函数优化问题，用遗传算法求目标函数的最优解的近似值，从而得到无向图自动画图算法的一个一般框架。

It consists of fitting seismic ray traveltimes and positions to data calculated by ray tracing. In order to improve inversion stability and efficiency, seismic ray is described by Hamilton function and ray tracing is done in phase space. Validation tests on synthetic and practical data are analyzed. The tests show that this tomographic method is effective for estimating velocity field in complex media.

为提高反演的稳定性和计算效率，引入了Hamilton函数描述射线，在相空间计算反演所需的射线路径和目标函数对模型参数的导数，对理论模型和实际地震资料进行了试算，试算表明该方法对复杂介质具有较强的适应能力。

Adopting Hermite polynomial in stead of Taylor expansion has greatly decreased the order of the high-order cross sensitivity.

利用埃 尔米特插值逼近函数代替泰勒展开式，使目标函数对几何参数高阶交叉灵敏度的阶数大为降低，减小了计算代价。

Adopting Hermite polynomial in stead of Taylor expansionhas greatly decreased the order of the high-order cross sensitivity.

利用埃尔米特插值逼近函数代替泰勒展开式，使目标函数对几何参数高阶交叉灵敏度的阶数大为降低，减小了计算代价。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。