目标函数

A simple method for quadratic objective function with convex constaints and with linear constaints is given.

文章对目标函数是二次的且约束是一般凸集和二次目标函数且约束是线性的情形，给出了更简单的算法。

In chapter 5,a knowledge-based correction term for the objective function of parameter estimation is proposed.The relationship between the function extreme points of state estimatin and parameter estimation is deduced.A strategy of projecting the parameter objective function from the augmented solution space to the parameter space is proposed and proved.

第五章分析了电力系统状态估计和参数估计的理论依据并指出传统解法的不足，提出基于经验知识的参数估计目标函数修正项，推导了状态估计和参数估计目标函数极值点的关系，由此提出并证明了新的基于垂直投影的估计策略。

Objective function of son system is yearly cost; Objective function of overall system is NEPV.

子系统的优化目标函数是等额年费用；总体优化的目标函数是财务净现值。

The first level and the lower level both have their objective functions and constraint conditions, the objective function and constraint conditions of the first level not only have relations with the upper decision variable, but also depends on the optimal value of the lower level.

上层和下层各有目标函数和约束条件，上层问题的目标函数和约束条件，不仅与上层决策变量有关，而且还依赖于下层问题的最优解或最优值。

The optimal and worst solutions of each objective function are obtained, and the solution with the earliest start-time under the fewest number is found. A series of noninferior solutions that have the earliest start-time are obtained after increasing the number of selected depots continually. The original model can be converted to search for a solution that has maximum approximation degree of positive-negative perfect point.

分别求出各个目标函数的最优解和最劣解，寻找使出救点个数为最优情况下使应急开始时间最早的解，在此基础上增加出救点的个数继续寻找，并将备选出救点集合缩小为运输时间小于上一次应急开始时间的出救点；得到一系列非劣方案后，对各目标函数按照具体情况赋予一定的权重，将原问题转化为求解使正负理想点接近度最大的非劣调度方案。

This can be done adding a penalty term into target function used in the standard BP algorithm, and the penalty term is related to the first derivative of the target function.

具体的做法是在标准BP算法中的目标函数项内增加一惩罚项来完成的，而此惩罚项与目标函数的一阶导数相关。

Secondly, a rule of the choice of step-length is presented for a non-quadratic objective function of n variables, according to the rule we prove that the Gradient Method has local n-step quadratic convergence rate for a non-quadratic function under certain conditions.

其次，对于n个变量的非二次目标函数也提出了一个步长选取的准则，并在此准则下证明了当目标函数满足一定的条件时，梯度法具有局部n-步二阶收敛速度。

New multi—objectives function (including mill stand longitudinal stiffness, distribution coefficient of loaded pressure between rolls, weight of mill stand, rolling power, rolls loaded gap profile changeability of bending force, transverse mill stand stiffness of bending force, transverse mill stand stiffness of rolling load) multi—constraints (including rolls strength, spindle strength, backup roll bearing load, minimum rollable gauge, roll surface temperature rise) rolls system parameters optimization model of four—high cold strip mill is established, and programme for mill structural illustration creation on the platform of AutoCad designs is compiled. With this as basis, rolls system parameters of Yichang thin strip corporation's 1219 cold mill are calculated using SUMT (subsequent unconstrained minimization technology).

本文建立了以板形和板凸度控制特性为目标的四辊轧机多目标函数（包括轧机纵向刚度、辊间压力分布系数、轧机重量、功率、弯辊力对轧机辊缝形状改变能力、对弯辊力的横向刚度、对轧制力的横向刚度）、多约束条件（包括轧辊强度、接轴强度、支承辊轴承负荷、最小可轧厚度、轧辊温升等）的辊系参数优化模型，以此模型为基础，利用惩罚函数法计算了益昌薄板公司1219冷轧机辊系参数，编制了AutoCAD平台下的轧机结构示意图自动图形软件。

Some relations between generalized KT-properly efficient solution and generalized H-local-properly efficient solution are obtained under appropriate conditions.

在实用中，由于在给定的约束条件下求得的目标函数的最优值，有时会不符合人们的要求，因此有必要考虑当目标函数的最优值作适当改进时，如何使约束条件进行极小扰动的问题。

In the method, the symmetric positive semidefinite matrices are updated to approximate the Hessian matrices of the elemental objective functions and their sum to approximate the Hessian matrix of the objective function.

算法用对称半正定矩阵作为元素目标函数的Hessian阵的近似，使得其和仍然保持目标函数的Hessian阵的某种稀疏性。

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。