优化问题

In Chapter 2, we introduce a new scalar function of the vector optimization problem by virtue of the spectral function in Euclidean Jordan algebra. Correspondingly, we define the spectral scalar optimization problem and spectral scalar solution.

第二章借助欧几里德若当代数中谱函数的概念，引入了欧几里德若当代数向量优化新的标量函数——谱标量函数，并进一步定义了相应的谱标量优化问题及其谱标量解。

Keywords : AFSA;neural network;coupling regress model of projection pursuit;projection direction;threshold;Hermite polynomial

应用神经网络的投影寻踪耦合回归模型存在优化问题，学习过程中运用人工鱼群算法进行优化，进而获得最佳的投影方向、阈值和正交Hermite多项式系数。

To meet the requirements of dynamic formation of eMC-MS, a honeycombed layout of eMC-MS and corresponding material transportation system are presented. According to the production capacity and the process flow of the specified manufacturing cell, a mathematical model and a Genetic Algorithm model are designed to search the optimal layout result.

布局优化技术作为eMC-制造系统的基础支撑技术是本文的研究重点之一，针对eMC-制造系统的特点和系统动态规划的要求，本文提出了一种蜂窝式制造系统布局形式和相应的物料传输体系，根据制造单元的设备类型、生产能力和基本工艺流程，按照运输成本最低的原则，利用遗传算法解决了eMC-制造单元的布局优化问题。

With an additional terminal cost in the standard finite horizon objective functional and a terminal inequality constraint,the prediction is expanding quasi to infinity but the control profile to be determined by on-line optimization is only of finite horizon.

开环优化问题含有附加的终端代价项和终端约束条件，这样预测时域延伸至准无限，而需在线优化获得的控制函数仅为有限时域。

Hard state constraints are relaxed in an optimal way to avoid infeasibility.

用优化柔性状态约束条件代替了硬性状态约束，以避免优化问题的不可解。

For the first time,the authors apply sequential quadratic programming of inner point as a solver to algorithm of quadratic programming for dynamic optimization of frame structure.

首次将内点序列二次规划法应用于框架结构的动力优化领域，并作为二次规划算法的求解器，改善整个优化问题的运算效率。

The linear programming model is established in this paper, the optimization problem is solved by a primal-dual interior-point algorithm which is one of the interior point methods.

本文建立了电力系统无功优化的线性数学模型，并采用内点法中的原-对偶仿射尺度法求解优化问题。

At the same time, for practical system, such as engineering field, especially artificial intelligence and control field, multi-objective, nonlinear, nondifferentiable and intermix systems come forth. Some problems which cant be solved by classic optimization methods must be solved by computation intelligence technology.

同时，对于实际系统，例如工程领域，特别是人工智能与控制领域，不断涌现出多目标、非线性、不可微甚至混杂的系统，经典优化方法不能有效求解的优化问题，必须采用计算智能技术。

The Lyapunov theorem and Lasalle invariance principle are applied to optimization sub-problem in augmented Lagrange multiplier method.

3.3同时本文还给出了一种基于基因算法和传统优化算法相结合的途径解决连续的MINIMAX优化问题。

To solve the optimization problems, apply the DCA （difference of convex functions algori-thms） which is a general framework for nonconvex continuous optimization. This leads to a successive linear programming algorithm with finite convergence.

为解决优化问题，应用了突函数差异算法（difference of convex functions algorithms，DCA）这一进行非突连续优化的通用框架，致使连续线性规划算法有限收敛。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。