解集

The discriminance methods and expression of generalized alternative optimum solutions of linear programming is given by proving that the equivalent of optimum extreme point and extreme point of optimum solution sets of linear programming and applying the theorem of convex polyhedron.

通过证明线性规划最优解集的极点与线性规划最优极点的等价性，利用凸多面体的表达定理，给出了广泛意义下线性规划无穷多最优解的判别方法及表达式。

In this paper the topological properties of solution set of non-autonomous differential inclusions are discussed,and the fact that the mild solution set of Cauchy is a retract of a convex subset of a Banach space is proved.

讨论了半线性微分包含解的拓扑性质，证明了非自治情况下其适度解集是一Banach空间的凸子集的收缩核，且收缩映射连续依赖于初值。

Based on genetic algorithm,a new hybrid coding method using the integer and floating number was presented. The enumerable method guarantees each individual in the population to satisfy the constrains, thus the punishment function was avoided. The two adjustable parameters made the evolution process jump out of the local best solution perfectly.The application of the fitness assignment based on Pareto ranking attained inferior solution set of the multi-objective and multiple options were provided to the decision-maker.

设计了一种新的整数和浮点数结合的编码方式；通过列举法使得每代个体满足约束条件，避免了罚函数的使用；可调整的双参数变异算子使进化过程能够较好地跳出局部最优解；应用基于Pareto排序的适应值分配方式得到目标函数的非劣解集，为决策者提供了多种选择方式。

Most of them take Pareto dominance as their selection strategy and do not require any preference information .

这些方法得出的是一个优化解集，而没有对这个解集进行分析。

The chapter first studies the closedness, semicontinuity and cone semicontinuity of cone efficient point sets and cone weakly efficient point sets of the perturbed objective sets when both the objective maps and constraint maps are continuous and the constraint cone is semicontinuous.

进而还证明了当扰动变量形成Baire空间时，大多数（在Baire分类意义下）约束集或序受扰动的联合锥弱有效解集在连续意义下是稳定的。

Secondly, for a more general matrix equation in composition, we obtain another equivalent condition for the solvability of this equation and give an equivalent characterization to the solution set of the equation.

第二， 对于一般情况下的型矩阵方程，本文给出其可解的另一个等价条件，同时对其解集作了一个等价性描述。

The optimal scheduling can be obtained by combining this method with successive approximation method. The nume...

实例仿真结果表明，它不仅可以根据不同的参数选择生成非劣解集，还可以推荐满意解，为决策支持提供依据。

In addition, incorresponding solution set of the equation.The explicit expression of the nearest matrix to a given matrix in the Frobenius noum have been provided.

另外，研究了矩阵方程的自反矩阵解集，利用矩阵的分解，导出自反矩阵问题的最佳逼近解。

Some new notions are defined, such as I-convex sets, I-convex polyhedrons, vertices and so on. And then, based on these new notions, we get a similar conclusion with that of linear programming.

在汪培庄[69]工作的基础上，讨论了更一般的格化线性规划模型，给出了其解集的结构及能求得全体最优解的算法；在方述诚等人

A path relinking algorithm is developed to solve manufacturing supply chain planning model based on ESTN. The algorithm maintains a reference set of solution with good quality in evolutionary process.

为求解基于ESTN的制造供应链计划模型，提出了具有多样性检测的参考解集更新策略与分散性解变异策略的路径重连算法。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失