约束优化

The selection criterion for the upper limit of weighting vector norm is studied while using second-order programming to optimize beampattern for arbitrary sensor arrays.

研究了基于2阶锥方法对任意结构基阵波束优化时权向量范数约束上限的选取问题。

In order to solve the problem,a novel algorithm for pattern synthesis is presented by minimizing the norm of the weight vector under constraints of the mainlode-sidelobe-ratio,mainlobe width,flat mainlobe or interference nulling.

该算法以空域匹配权模值最小为目标函数，以主副比、3 dB宽度、主瓣平顶或干扰陷零等为约束条件，优化出最优权，在保证方向图形状的同时兼顾了阵列效率。

The simulation results demonstrate that an optimal reentry trajectory which satisfies the constraint conditions can be generated in 10 seconds and verifies the validity, robustness and feasibility of the algorithm.

仿真结果表明，这样处理只需10 s左右的时间便能产生一条满足约束条件的再入优化轨迹，验证了模型处理和算法的有效性、鲁棒性和可行性。

A novel uncertainty model for short-term optimization scheduling of the hydrothermal power system based on chance-constrained programming is presented.

分析了电力市场中日前交易与实时交易的关系，考虑了水火电力系统的水力联系和电力联系，针对各种不确定性因素的影响，基于机会约束规划提出了一种新的水火电力系统短期优化调度的不确定性模型。

In this paper,the expanding self_energizing overrunning spring clutch was designed optimally with constraint of strength reliability.

以强度可靠度为约束，对扩张式自激超越弹簧离合器进行了优化设计，在满足强度可靠度的同时，采用计算机可迅速求得一组最佳结构参数。

XEX ~ Arg min{FIy E ~2} where the upper level is about topological structure optimization(a~ is a topological structure varable), and the lower level is a constrained programming about continuous variable y. 2 Apply graph, the action of permutation group on a graph, equiva- lent class, orbit etc.

取得的主要成果有： 1 依点到集的映射、集值映射、二元映射和分离定理等理论首次建立了具有拓扑结构双层规划的数学模型 min F s.t.x∈X y∈Arg min｛F|y∈Ω｝其上层规划为关于离散变量x的拓扑结构优化，下层规划是关于连续变量的约束规划。

In the algorithm, a three-dimensional permute matrix of binary variables is used to map the problem to the neural network, the energy function including object item and overlap constrained item is presented, and then iteration procedure is put into practice with the mean annealing equation.

提出了一个基于均场退火方法的任意单元布局算法，用一个三维二值换位矩阵将问题映射为神经网络，建立包含重叠约束和优化目标的能量函数，再用均场退火方程迭代求解。

A static interval optimization method for structures was proposed. The matrices of structures with interval parameters were given. Combining the interval extension of function with the perturbation theory of static analysis, the method for interval static analysis was derived.

提出了一种在位移约束下结构静力区间优化方法，给出了区间参数结构矩阵，将结构静力分析的摄动理论与区间函数扩张定理相结合，推导了结构静力分析的区间方法。

Secondly, the key technology of how to align point cloud with surface feature model of human body, analyze error, adjust position are researched and the algorithms of calculating center of mass, inertia axis, and symmetry plane are successfully introduced.

然后，研究了对齐后的模型，如何将点云投影到曲面，识别出曲面特征，并对点云进行参数化和采用基于约束及能量优化法算法进行曲面重构，快速的建立不同人体的光滑G~1连续的B样条参数曲面模型。

With the help of bivariate entropy function, another programming is obtained and It's then proved that the solution of primal problem can be approximately obtained by solving a series of such programming.

这篇文章的求解是基于最大团问题的一个超方体约束下的二次规划模型，首先用二元熵函数作辅助项得到另外一个优化模型。

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。