目标函数

In addition, a training algorithm based on a composite object function is proposed. This algorithm simplified the form of the composite object function and use adaptive method to adjust parameter of the composite object function so that the training speed is increased in the later period.

此外，还提出了一种基于综合目标函数的神经网络训练算法，在该算法中对综合目标函数进行了简化，并采用自适应的方法来调整目标函数的参数，使训练后期的收敛速度明显提高。

This paper presents a new algorithm for feed forward neural networks based on a new optimal target function constructed according to Young inequality in the conjugate of convex function.

提出的算法是利用凸函数共轭性质中的Young不等式构造优化目标函数，这个优化目标函数对于权值和隐层输出来说为凸函数，不存在局部最小。

A knowledge-based correction term in the objective function is proposed. The relationship between state estimatin and parameter estimation is analyzed. A strategy of projecting the objective function from the augmented solution space to the parameter space is proposed and proved.

该文提出基于经验知识的参数估计目标函数修正项，导出状态估计与参数估计目标函数极值的关系，由此提出将目标函数从增广解空间垂直投影到参数空间的估计策略，并指出参数估计偏差的成因。

The main theorem of this paper is to, firstly, on the grounds of experience preliminarily estimate the parameter of the pavement nonlinear model, simulate the process with computer procedure, and check the result with the data collected in sit, then set the aim function and the superiority back-calculation method, if the function is not satisfied, it is to the method adjust the parameter and make the model impend the actuality, If the function is satisfied, it is to end the process, and record the stress, deformation, displacement and the parameter as the actual condition.

本文分析的主要原理：首先根据经验，初估路面结构层应力应变非线性参数，利用计算机程序模拟承载板试验测回弹弯沉的过程，通过现场实测的弯沉数据来检核该模拟过程的真实性，设定目标函数，选定适当的优化反算方法，当目标函数不满足时，即利用该优化反算方法调整本构模型参数，使得模型能够逐步向真实解逼近，当目标函数得到满足时，则认为此时反算得到的路面结构层的应力、应变、位移场为真实的应力、应变、位移场，所推算得到的非线性应力应变模型为真实的路面结构层应力应变模型。

Furthermore, buckling effect factors and their influence law are exploited. Finally, combining the character of piles foundation with high bridge piers with engineering practice, four optimal mathematic models are proposed and flow diagram of optimization analysis is fulfilled by the computer optimum program. A numerical example is analyzed to get optimal solution by using this program. Meanwhile based on the optimal model with buckling coefficient as the objective function, parameter variables are discussed about their effect rule toward the optimal value of objective function.

最后，针对高桥墩桩基础的特点，在基本优化模型的基础上，根据不同的目标函数建立了相应的优化模型，给出优化设计算法流程图，编制了相应的优化计算程序；并根据高桥墩桩基的工程实际设计了一个数值算例，采用本文编制的优化计算程序对该结构进行优化，得到了优化后的最优解；同时，采用高桥墩桩基屈曲系数作为目标函数的优化模型进行因素分析，初步探讨了参数变量对目标函数最优值的影响规律和程度。

Based on the method of multi-objective fuzzy optimization and the overhead traveling crane design, a mathematical model of fuzzy optimization for main box beam section is established. A fuzzy goal anthology is constructed. The fuzziness of multi-objective function and constraints is defined. The transformation of the fuzzy constraints set to normal constraints set in real number domain is realized by applying optimal level cut set method. The optimal solution and optimal constraint value of sub-objective function in the feasible field are found using the genetic algorithms.

应用多目标模糊优化方法，以工程设计中桥式起重机箱形主梁设计为实例，建立了桥式起重机箱形主梁多目标模糊优化设计的数学模型，构造了模糊目标集，确定了多目标函数的模糊性和约束的模糊性，并应用最优水平截集法实现了模糊约束到实数论域上的集合转换，从而用遗传算法寻求到子目标函数在可行域空间的最优解和约束最优值。

Examples have been calculated by use of parameter optimization inverse program.

根据田间实测数据采用开发的参数优化反求程序进行了实例计算，分析比较了采用不同目标函数的结果，结果表明，采用第三种目标函数进行计算，优化结果最理想；并用这些结果与设置相同目标函数的离散变量算法和试算法的结果进行了对比，结果显示，三种算法所得结果没有明显差异。

First, for a given integer value of the objective function, the lower and upper bounds of the variables were determined by the optimum simplex tableau of the linear programming relaxation problem. Then the conditions on the bounds were added to the constraints as cuts to the associated objective function hyperplane. Finally, a branch procedure of the branch-and-bound algorithm was applied to finding a feasible solution on the objective function hyperplane.

对于给定的目标函数整数值，首先利用线性规划松弛问题的最优单纯形表确定变量的上、下界，然后将变量的上、下界条件加入约束条件中对相应的目标函数超平面进行切割，最后应用分支定界算法中的分支方法来搜寻目标函数超平面上的可行解。

Suppose that the local source of traffic demand of the intersection is a stochastic variable of known parameter. An optimal control assignment model of the link of the dynamical transportation network flows of stochastic system is founded. Allowing for the construct of the model, based on the objective function of the link is transformed to based on the objective function of the intersection in order to solve it.

假设交叉点的局外入流是某已知参数的随机变量的情况下，建立了目标函数基于路段的随机系统最优的动态交通网络流分配的最优控制模型，充分分析该模型的结构，将该模型的目标函数转化为基于交叉点的目标函数，以便于求解该问题。

The point spread function and optical transfer function is the basis for optical synthetic aperture design and optimization. The imaging of complex objects can be obtained by the object function convoluting with the point spread function.

在空间域从理论上分析光学综合孔径成像系统的点扩散函数，对复杂目标的成像通过目标函数与点扩散函数的卷积求得，点扩散函数决定了成像质量。

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。