查询词典 optimization problem

The maximum clique problem is a classical combinatorial optimization problem, and finds many important applications in different domains, this paper surveys the current progress on MCP. The Cross Entropy method for combinatorial optimization is proposed by Reuven Y.

最大团问题是一个经典的组合优化问题，在理论研究和实际应用方面都有重要的价值，本文对最大团问题的最新研究进展做了分析综述。

In the optimization problem, the more common is combinatorial optimization problem.

在优化问题中，比较常见的是组合优化问题。

Parametric evaluation function can condense the complicated multi-objective and multi-constrait problem into a single-objective unconstrained problem, then solved with conjugate gradient method.The parametric evaluation function method decreases the optimization difficulty,and makes the solution away from the boundary of feasible region during the optimization process,which makes all the objectives optimized simultaneously.

参数评价函数把复杂的多目标多约束优化问题转化为单目标无约束问题，然后用共轭梯度法进行求解，不但降低了求解难度，而且使得在优化过程中其解远离可行域的边界，保证了对多目标中所有目标同时进行优化。

By defining time span combination, the continuous varying parameter optimization problem is transformed to discrete multi-parameter optimization problem and model is constructed.

引入时段组合的概念，将连续问题转化成离散问题，将变参数优化问题转化成多参数优化问题，建立了相应的数学模型，并给出简化求解的方法。

Optimization design is often used in the design of MRI superconducting main magnet, where all variables are treated as continuous ones. According to the fact that not all variables are continuous, here the design problem is seen as a global optimization problem with discrete variables.

软件简介：在进行MRI超导主磁体的设计时常采用优化设计的方法，将各设计参数看作连续变量处理，但实际上很多参数是离散变量，为了更符合工程实际，将超导MRI 主磁体的设计作为一个含有离散变量的全局优化问题。

All of these applications show that study on conic optimization is necessary. For detail, we conclude them as follows:The models, foreign and internal study situations on conic optimization and its dual problem are introduced in Chapter one, and we point out the key problem and research matter.Chapter two introduces some primary properties of a cone and its dual cone.

第二部分是应用实践：将所提出的锥规划及其对偶锥规划应用在各个领域，例如最小二乘问题、多项式求解、协方差矩阵估计，以及在其它方面的运用，这些应用无不显示出研究锥规划的必要。

This algorithm constructs a set of linear equations. As a result, the relation of the reconstructed design variables and the original design variables is derived, the variable number of optimum design is decreased from m + n + 2 to 4, and the equality constraint optimization problem is converted into reduced- dimension no equality constraint optimization problem.

该算法通过构造一组线性方程，得到了由重构设计变量到原设计变量的映射关系，使优化设计的变量由原来的m + n + 2个减少到4个，并将有等式约束优化问题转换成降维的无等式约束优化问题。

In this paper, we construct the differential equation to solve the unconstrained optimization problem. Such methods solving the ill-conditioned problems are very effective. It indicates that the asymptotically stable region of explicit the Euler method to solve the differential equation equals to the descent region of the gradient method to solve the original unconstrained optimization problem.

我们发现，在用Euler方法求解二次优化问题的等价动力系统的方程时，由方法的步长确定的稳定区域对应于这些方法所得到的迭代公式的步长满足单调下降算法的条件确定的单调下降区域，因此我们可以利用这个性质构造解无约束优化问题的数值方法而不采用标准的常微分方程的数值求解公式。

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。

An optimization method is proposed to solve steady-state optimization problems by linear approximation of the object function and the Linear Matrix Inequalities Problem and Eigenvalue Problem of Linear Matrix Inequalities theory.

提出了将稳态优化问题的目标函数进行线性逼近及用可行性问题求解算法和特征值问题求解算法进行求解的优化方法。

The French are not suggesting a new EU treaty, but they have plenty of other wheezes.

法国人并不是在建议签署一个新的欧盟条约，但他们有许多其他的阴谋。

This letter was written by my brother.

这封信是我弟弟写的。