优化

Based on the special decomposition of Hankel matrix, we can transform the problem of approximating a given matrix with a positive semidefinite real Hankel matrix of lower rank to a smooth unconstrained optimization problem.

对矩阵的低秩Hankel半正定矩阵逼近，采用特殊的分解形式，可将其转化为一个无约束的优化问题进行求解，本文应用拟牛顿方法求解无约束优化问题。

Structure and convexity can be destroyed if it is left to the solver to perform the matching.we could loose the positive semidefinite matrix with an arbitrary matching of the free variables.

这一方法的思路就是把优化问题简化成优化条件，这样求解相对变得容易。不过问题也就出在这，这一转化需要很强的假设条件。

However, conventional design, crash simulation and experiment can only improve the structural crashworthiness to some extent, which can not assess the reliability of design parameters and the robust of objective function, at the same time, nor achieve a global optimization performance subjected to the preassigned probabilistie constraints.

耐撞性的优化涉及材料与结构的众多参数，传统的确定性优化设计、碰撞仿真及实验往往只能在一定程度上改善结构的碰撞性能，而无法评估设计参数的可靠性和目标函数的鲁棒性，以及在给定可靠性约束条件下使目标函数的鲁棒性达到最优状态。

The method to optimize observatory distribution is very important to direct the optimization of earthquake precursory observatories.

文中所用的优化方法对于指导地震前兆观测台站的优化具有一定意义。

Based on current situation of multi-analysis for the exploitation, utilization, management of water resources, after studying domestically prevalent MAPGIS system, Water Resources Optimization Management Decision Support System for Hengshui City has been developed, helping to solve series of relative problems in optimum allocation,plan prepotency, decision making, etc.

在全面分析衡水市水资源开采、利用和管理现状的基础上，在系统研究国内较为成熟的MAPGIS系统的情况下，开发了"衡水市水资源优化管理决策支持系统"，以解决水资源管理过程水资源优化配置、方案选优、规划决策等一系列问题。

This algorithm decomposes the primal problem into several sub-problems solving parallel which reduces the size and complexity of the optimization problem.

辅助问题原理建立了一个用于分布式并行优化的计算框架，各分区可根据具体情况自主选择优化算法。

The inventory cost is a primary component of the supply chain cost,and the method for multi-echelon

库存成本是供应链成本的重要组成部分，要进行供应链成本的全局性优化和控制，必须采用多级优化与控制方法。

With the fact that this type ship has more principal dimension parameters than the normal ships,a principal dimensions optimization method was developed.

针对该型船主尺度参数众多而不易优化的问题，提出了一套主尺度优化方法。

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。

The interval parameter back analysis program is developed based on the flexible tolerance method.

基于可变容差优化反分析法，开发了区间优化反分析程序。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。