优化问题

He TSP is one of the typical NP-hard problems in combinatorial optimization problem.

SP问题是最经典的NP-hard组合优化问题之一。

The integrated design of cellular manufacturing system is a combinatorial optimization problem.

单元制造系统的集成设计问题是一个组合优化问题。

Job Shop Scheduling Problem is a very hard combinatorial optimization problem and has great importance in engineering applications.

作业车间调度问题是一个非常复杂的组合优化问题，它在工程应用中有着十分重要的意义。

Packing problem is a typical combinatorial optimization problem, and has NPC difficulty in solving complexity.

布局问题是一种经典的组合优化问题，在求解复杂性上具有NP完全性。

It is formulated as a multi-objective combinatorial optimization problem.

通过分析，将该问题归结为一个多目标组合优化问题。

The maximum flow problem is one of the classical combinatorial optimization problems.

最大流问题是一个经典的组合优化问题。

In this paper, the multi-traveling salesman problem is: to meet the triangle inequality enabling complete graph on a bi-objective optimization problem.

详细说明：本文研究的多旅行商问题是：满足三角不等式的赋权完全图上的一个双目标优化问题。

We proved that there exists a dense G (subscript δ) subset of the complete metric space consisting of the vector optimization problems satisfying some conditions ,and each problem in the dense G (subscript δ) subset has stable solution set, which generalized the corresponding results in the literature.

证明了满足一定条件的向量优化问题构成的完备度量空间中，存在一个稠密G集，在此稠密集中每个问题的解集都是稳定的，推广了文献中的相应结果。

In chapter 2,by referring to the algorithm in paper[7],we present a class of conjugate gradient methods connected with Hestenes-Stiefel Algorithm.

在第一章中，我们首先简要的介绍了最优化问题的提出以及判断最优解常用的最优性条件；回顾了求解无约束优化问题常用的几类导数下降类算法。

In this paper, the computation of original likelihood function is transformed into the optimal problem of its low bound through the conjugate representation of the convex function, and a additional parameter is introduced to control the smoothing degree of low bound, and so the performance of local optimal solution can be improved.

我们利用凸泛函的对偶性，将原似然函数的复杂计算问题转化为对其下界函数的优化问题，从而降低学习算法的复杂性；并通过引入一个参数来控制下界函数的光滑程度来改善局部最优解的性能；指出了传统的期望最大化算法(Expectation Maximization Algorithm)是变分学习算法的特殊情况。

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。