查询词典 optimization problem

In this thesis, we mainly study the theory of vector optimization in three aspects: the spectral scalarization of Euclidean Jordan algebra vector optimization, the robust methods for solving uncertain multiobjective linear optimization problem and the application in game theory.

本文共分四章，主要致力于向量优化三个方面的研究：欧几里德若当代数向量优化的谱标量化、不确定多目标线性优化问题的鲁棒方法和向量优化在对策论中的应用。

In view of the problem of parametric optimization in a nonlinear control system,this paper presents a new simulating method of optimization to be combined with the theory of a nonlinear control system,optimization theory and genetic algorithm.

摘 要］本文针对非线性控制系统参数优化问题，结合非线性控制系统理论、最优化理论及遗传算法，提出了一种新的仿真优化方法。

A problem of cable force optimization of cable-stayed bridge is equated as a nonlinear implicit optimization model. In the mathematical model, the object function is minimizing summation of bending strain energy and axial strain energy, and the constrain conditions are nonlinear and related to reasonable finished dead state. The optimization model is solved by projection gradient method, fully considering all kinds geometric nonlinearity.

把超千米级斜拉桥的索力优化问题归结为非线性隐式优化的数学模型，以系统最小弯压应变能为目标，根据合理成桥状态指定各种非线性约束条件，利用投影梯度法进行优化问题的求解，求解过程中充分考虑了各种几何非线性的影响。

After a further analysis based on the empirical results,a trial probe on the cognitiveprocessing mechanism of the problem representation of the word problem in two types of MLDwas made by the author.The MRD performed much poorer than the MLD only in the mostdifficult equation listing of word problem and the medium and most difficult problemrepresentation of word problem,which showed no difference in computation and comprehensionof simple meaning of the problem,but the gap between two types of MLD became wide as afunction of difficulty and cognitive loading.It indicated that the MLD only had some advantage over MRD for they used more cognitive skills to solve the problem.

基于以上实验的结果，对两类数学困难小学生的应用题问题表征的认知机制作如下推断：混合型数学困难学生仅在高难度水平的应用题列式成绩和中高难度水平应用题问题表征水平上比单纯型数学困难学生得分显著低下，表明两类数学困难小学生在计算能力与理解简单题意的能力上并无差异，但随着难度提高，认知负荷加重，两类数学困难学生在应用题解题上的差异得以突显，表明当需要运用更多的认知能力解决问题时，单纯型数学困难学生比混合型困难学生更具优势。

The problem of finite precision multiuser decorrelator is formulated as linear bounded integer optimization problem,and the problem is shown to be NP-hard problem.

该文首先分析了应用有限精度序列为解相关矩阵序列的解相关接收机，将有限精度解相关的多用户检测问题归约为线性约束整数优化问题，同时证明此问题为NP-hard问题。

Based on Pontryagin maximum principle, the lunar soft landing problem is transformed into a two-point boundary value problem in mathematics. In consideration of the bound condition and transversality condition, the resulted two-point boundary value problem is converted into a parameter optimization problem aiming at the initial values of conjugate variables and the terminal time, then it is solved by the nonlinear programming.

首先，从庞德里亚金极大值原理出发，将有限推力作用下月球软着陆问题转化为数学上的两点边值问题；在考虑边界条件及横截条件的前提下，将该两点边值问题转化为针对共轭变量初值和末时刻的优化问题；然后应用非线性规划方法求解所形成的参数优化问题。

Quadratic assignment problem is a NP-hard combinatorial optimization problem and has been applied in various fields. There are always many zero elements in the flow matrix or distance matrix of the quadratic assignment problem instances which are abstracted from the practical problems. Much computation time can be saved if we can first reduce the size of the problem by using its zero elements.

二次分配问题(quadratic assignment problem， QAP)是应用于诸多领域的组合优化NP-难题，许多从实际问题中抽象出来的二次分配问题，其流矩阵与距离矩阵中存在大量零元素，如果在该类二次分配问题的求解中，能够充分利用这些零元素的信息，将大大缩减问题的规模，节省大量运算时间。

Moreover, if the optimization problem has certain special feature, the simpler relaxation methods can be provided. For example, considering a generalized geometric programming problem, relevant relaxation linear programming can be obtained using its special structure. Based on the branch and bound method, a linear relaxation algorithm of global optimization is presented for generalized geometric programming, and the convergence of the algorithm is also proven.

此外，当优化问题具有某种特殊性质时，我们能给出更加简便的松弛化方法，如考虑广义几何规划问题，能充分利用其特殊结构，建立了广义几何规划问题的松弛线性规划问题；在分枝定界技术的基础上，提出了一个求广义几何规划全局解的线性松弛算法；证明了算法的收敛性。

The membership function can exactly express the fuzzy satisfaction set by considering the vagueness of satisfaction degree of objectives and introducing the membership function for the fuzzy satisfaction sets of system reliability and system cost. The normal distribution and Cauchy distribution of this membership function is modified according to the fuzzy satisfaction sets. By doing this, the multi-objective optimization problem can be converted to a single-objective optimization problem to be solved.

模型充分考虑到目标满意度的模糊性，通过引入系统可靠度与费用的模糊满意集的隶属函数，并根据它们的模糊满意集对其正态分布、柯西分布进行适当修改，使之能够准确表达通常情况下的这两个目标的模糊满意集，最终，把两目标优化问题转化为常规单目标优化问题求解。

The center coordinates of the n circles can then be obtained. The problem is reduced to a nonlinear constrained optimization problem of finding the minimum circumscribed circle for the n central points through regional optimization.

为求这平面点列的最小包容圆，将问题转化为非线性约束最优化问题，通过分区优化搜索算法求解目标。

Now he worked in ajoint venture.

现在他在一家合资企业工作。

More troops in Afghanistan won't change any of the foregoing.

更多的在阿富汗的军队也不会改变之前的状况。