优化问题

Combination optimization problem has many extensive application backgrounds, and its objective is to find the optimal combinations of discrete status in the solution space.

组合优化问题具有广泛的应用背景，它的目标是寻找解空间中离散状态的最优组合。

Aim To study the cone-subdifferential of the cone-efficient solution sets for set-valued vector optimization problem with perturbed order.

目的 研究锥扰动集值映射向量优化问题锥有效解的锥次可微性。

This thesis is divided into five chapters. It is organized as follow: In Chapter 1, we consider the stability and well-posedness of star-shaped vector optimization problems.

全文共五章，具体内容如下：在第一章，我们考虑星形向量优化问题的稳定性与适定性。

This paper focuses on the optimal pitch arrangement in double-side heating once-through steam generator with helix tube inside.

本文主要研究了带内螺旋缠绕管的管套管双面加热直流蒸汽发生器元件中沸腾段内螺旋管螺距设置的优化问题。

In order to satisfy the material uniformity requirements, optimization algorithms of the three different cases are developed to integrate the trajectories on the intersecting area of two patches. The steepest descent algorithm and pattern search method are adopted to optimize the parameters.

为保证曲面上涂层厚度的均匀性，按照两片交界处喷枪路径的位置关系分三种情况讨论涂层厚度的计算方法和喷枪轨迹优化问题，并采用最速下降法和模式搜索法进行求解。

Chapter 7 studies the reliability optimization of reaervoir operation or management, presents a stochastic multiobjective dynamic programming model to calculate noninferlor solutiones and gives a example.

本文第七章研究了水库运行管理的可靠性优化问题，提出了一种求非劣解的随机多目标动态规划方法，并用实例验证了计算可行性，在结语中对本文的主要成果进行了总结。

The stochastic programming approach is a powerful tool in dealing with optimization problems under uncertainty.

随机规划方法是处理不确定条件下优化问题的一种有力工具。

To establish local convergence results for optimization problems with simple bounds, many papers assume strict complementarity at the solution.

在建立简单界约束优化问题的局部收敛结果时，多数论文均假设在解处严格互补条件成立。

The strong and weak dual theorems are obtained in the sense of strictly efficiency in dual model which is established by scalar set-valued Lagrange mapping.

利用标量集值Lagrange映射建立了集值优化问题的对偶模型，并得到严有效性下的弱对偶和强对偶定理。

Researchment on Cable Dome begin with the Concept Design, which including geometric stability, ratio of rise to span, space between struts, height of struts, space between strop, inclination between ridge cable, etc.

对索穹顶结构设计技术的研究首先从概念设计开始，概念设计包括结构的几何稳定性判断、跨度和矢高的关系、压杆的间距、压杆的高度、环索的间距、脊索间夹角等，后面几个部分其实也可以归结为结构几何参数的优化问题。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。