离散问题

Optimization solution algorithm is the most important in topology optimization.Algorithms fit for discrete structure and continuum structure are all investigated. Thecharacteristic and different using limit of both optimization criteria method andmathematics programming method are all analyzed in this paper. OC algorithm and theseries MMA algorithm based on SIMP approach are deducedand used for the topology optimization problem of continuum structure.

优化求解算法是拓扑优化问题求解的核心和关键，本文系统分析了适用于离散结构和连续体结构优化的优化求解算法，重点讨论了 OC 算法和 MP 算法，分析比较了不同算法的特点和适用范围，推导了基于 SIMP 理论的优化准则法和 MMA 系列算法，并将MMA 系列算法应用于连续体结构拓扑优化问题的求解。

Thecharacteristic and different using limit of both optimization criteria method andmathematics programming method are all analyzed in this paper. OC algorithm and theseries MMA algorithm based on SIMP approach are deducedand used for the topology optimization problem of continuum structure. MMA algorithm hasa bad convergence but it has a high computational efficiency, while GCMMA is excellent onconvergence and stability with bad calculation efficiency.

优化求解算法是拓扑优化问题求解的核心和关键，本文系统分析了适用于离散结构和连续体结构优化的优化求解算法，重点讨论了 OC 算法和 MP 算法，分析比较了不同算法的特点和适用范围，推导了基于 SIMP 理论的优化准则法和 MMA 系列算法，并将MMA 系列算法应用于连续体结构拓扑优化问题的求解。

In this paper,several continuous variables are introduced to replace the discrete decision variable s,most importantly the pipe .

在数学模型中，引入连续变量代替离散的决策变量，这些连续变量是管道的"分段长度"，将混合整数非线性规划问题转化成连续的非线性规划问题。

First, we extend the general finite element method from the function surface to the parameter function. Second, we bring this kind of method into the design of rational Bézier minimal surface. Third, we transform the problem of Dirichlet energy function into the problem of minimizing a discrete objective function.

首先推广了函数曲面中的有限元方法，进而研究如何针对参数曲面使用有限元方法，并把该方法引入到有理Bézier极小曲面造型的设计中，从而将连续的Dirichlet能量函数极小化问题，转化为一个离散形式的目标函数的极小化问题。

To printing and dyeing enterprises, the production scheduling problem is combinatorial optimization problem with discrete variables.

对于花布印染企业来说，生产调度问题是离散变量的组合优化问题，属于典型的车间调度。

The unit commitment is a large scale,discrete and non-linear mixed integer optimization problem.

电力系统机组组合问题是一个高维数、非凸、离散、非线性的混合整数优化问题。

In reliability-based optimization problems of a ship's longitudinal structural design, there are lots of discrete variables and continuous variables. This kind of mixed-discrete non-linear optimization problem containing discrete and continuous variables has long been payed attention to, which is more difficult to solve when a number of reliability constraints are taken into account.

在船舶纵向结构的可靠性优化设计中，含有许多离散型设计变量和连续型设计变量，这种含有两种不同性质设计变量的大型结构物的混和优化问题，一直是人们瞩目的难题，尤其是考虑了多个可靠性约束条件之后，求解这种非线性优化问题就更为困难。

In this paper, considering problem of stock management as discrete time system, state equation and index of performence are given.

本文把库存管理问题看成一个离散系统问题。建立了系统的状态方程。给出了性能指标。

The key problem of discretization is ...

离散化的本质上可归结为利用选取的断点来对条件属性构成的空间进行划分的问题，它是一个空间划分和编码优化问题。

In this study, we modify disjunctive graph to represent multiple-resource job shop scheduling and develop a branch-and-bound technique to solve this problem.

在本论文中，我们修改离散图形表示多资源零工式生产排程问题，并且发展新的分支界限技巧求解这类问题。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新