约束优化

In addition, the corresponding analog transconductance neural optimizer based on modified augmented Lagrange multiplier approach is developed.

对单测试激励下线性约束L〓范数估计问题的求解，提出了基于改进的罚函数法和Lagrange乘子法两种跨导神经优化求解器。

It can solve seismic velocity problem in the area with lateral strong velocity variation. A new method is developed to improve the precision of velocity model building.

从射线理论的程函方程出发，提出了一种没有过多理论条件约束的基于模型全局优化剩余曲率分析速度建模方法，理论和实际资料的计算证明了该方法的有效性。

First, the reason behind the negative data is analyzed and a nonnegative constraint is imposed on the classic PCA. Then a set of nonnegative linear independence weight vectors of principal components is obtained, by which a low dimensional space is constructed. Finally, a nonlinear optimization technique is used to determine the projection vectors of the high-dimensional multi-spectral data in the constructed space.

首先分析主成分分析法产生非光谱数据的原因，据此对经典主成分分析模型增加非负约束；然后求出一组线性无关的非负主成分权向量，用该组向量构造低维空间；最后用非线性优化技术确定高维数据在该低维空间中的投影值，实现了高维空间与低维空间的相互转换。

The third chapter constructs a derivative-free optimization method for linear equality constrained optimization problem and gives the proofs of the global convergence.

第三章提出了线性等式约束最优化问题的非单调无导数优化算法，并证明了这种算法的全局收敛性。

Furthermore, the design problem of the suboptimal guaranteed cost controller is turned into a convex optimization problem with linear matrix inequalities constraints.

在此基础上，将次优保性能控制器设计问题转化为一组线性矩阵不等式约束下的凸优化问题。

Based on the proposed performance criterion, a sufficient condition for the existence of gain-scheduled H2/H(subscript ∞) filter is derived. Furthermore, the filter design problem is converted into a convex optimization problem with linear matrix inequality constraints.

基于该性能准则，推导了变增益H2/H滤波器存在的充分条件，并将滤波器设计问题转化为具有线性矩阵不等式约束的凸优化问题。

A synthetic model of multi-level production planning and control integration is brought forward, which integrated Master Production Schedule , Material Requirements Planning , Shop Floor Control , order acceptance control, order release control and process control into a whole. Besides, a new method of production management—— Theory of Constraints is introduced into the traditional MRP, and a method to integrate TOC with MRP is put forward. As a result, a system of production planning management for ceramics enterprise is developed. Then several problems of shop planning and control for ceramics enterprise including the modeling of production line, the optimized utilization of kiln, the complement and due-date of products are discussed. A mathematical programming model of equalization production for ceramics production line is set up. An optimized model is put forward, which uses genetic algorithm to solve the sequencing problem of ceramics before the kiln.

以生产计划与控制的集成为目标，提出将一个企业中的主生产计划、物料需求计划、车间作业计划与接受订单控制、投料控制与生产控制集成的多级生产计划与控制的总体模型，将一种新的生产管理方法——约束理论引入传统的MRP中，提出了实现TOC和MRP集成的具体方法；针对陶瓷企业的特点，为重庆兆瓷研制了一套陶瓷企业生产计划管理系统；并对陶瓷企业车间计划与控制中的一些具体问题进行了研究，建立了陶瓷生产线均衡生产的数学规划模型，就窑炉的优化利用、产品配套和交货期问题、陶瓷生产线的能力平衡等问题进行了研究。

It is a kind of itertive regularization method,and has the function adjusting regularization parameters automatically,so it overcomes the difficulties when solving the regularization parameters.

因此，对于这样的反问题，最后都可归结为极小化某些刻画问题的地质特征的测量值与理论计算值的误差平方和的函数的优化问题，约束条件为x≥0。

Under the limiting constrained conditions, an attempt to improve ship hull form of minimized wavemaking resistance is described by taking improved Michell integration as an object function and UV as an optimized design variable that is a mapping transformation function for the harmonizing and the fairing of the form variation.

在极限约束条件下，基于船体型值与UV度的映射函数，用UV度作为优化设计变量，以改进的Michel积分为目标函数，求得具有很好的协调性和工程光顺性的最小兴波阻力船型。

The entropy is a very important concept in physics, mathematics and system science. The problem of its minimum value under the condition of constraint is NP-complete and can't be analytical solved.

熵是物理学、数学、系统学等学科中一个非常重要的概念，在约束条件下熵的最小值问题属于NP难的组合优化问题，一般无法得到此问题的解析解。

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。