优化问题

Ramsey number problem is a famous optimization problem, and is also a NP complete problem.

Ramsey数问题是一个著名的组合优化问题，同时也是一个NP完全问题。

In the process of operation, a lot of operational research and decision-making problem should be solved.

在物流作业过程中，大量的运筹和决策问题需要解决，物流配送车辆路径优化问题就是期待解决的问题之一。

We estab-lish,under some mild assumptions,a locally quadratic convergence theoremfor Method I and prove a semi-local convergence theorem for Method II.Applications of the two methods to complementarity,variational inequalityand optimization problems are investigated as well.

在某些适当的假设下，我们证明了方法I的局部二次收敛性和方法II的半局部收敛性；还研究了两个方法在求解互补问题，变分不等式问题及约束优化问题中的应用。

The algorithm is based on a reformulation of the complementarity problem as an unconstrained optimization. It is proved that the algorithm is globally convergent.

在将互补问题转化为一个无约束优化问题的基础上，给出了一种求解互补问题的混合方法，证明了该算法的全局收敛性。

The vessel stowage planning is not only a complex combination and optimization problem, but also a NP-Complete problem.

大型集装箱船舶配载问题是一个复杂的组合优化问题，而且是一个NP问题。

By introducing a smooth merit function for linear inequalities system problem, the problem was equivalently reformulated as an unconstraint optimization problem.

通过引入线性不等式组问题的一类光滑价值函数，将其求解问题等价地转化为无约束优化问题的求解。

Nevertheless, induced bilevel programming models for the former category usually belong to a subject of nondifferentiable optimization problems, whereas that for the latter category becomes the continuously differentiable optimization problems.

此文首先从模型和算法的角度总结了有关这类问题已有的研究成果，接着介绍有关这方面的最新的研究进展，即如何把用户基于平衡原则下的交通网络优化问题的双层规划模型统一地转换为一个连续可微的单层最优化问题，并设计统一的算法。

In view of the operational SITIO problem is faced by the system decision-maker daily, the dissertation uses two chapters to address this class problem applied in two situations respectively.

由于作业层的随机联合优化问题几乎是系统决策者每天都要面对的问题，本文用两章篇幅分别讨论了两种应用背景下解决这类问题的过程。

In view of the operational SITIO problem is faced by the system decision-maker daily, the dissertation uses two chapters to address this class problem applied in two situations respectively. One of two situations is assumed to be R-System.

山于作业层的随机联合优化问题几乎是系统决策者每天都要面对的问题，本文用两章篇幅分别讨论了两种应用背景下解决这类问题的过程。

When a program is modified a little or is optimized, incremental analysis can maintain the data flow information, which can avoid recomputing the data flow information of the whole procedure because of a little change.

引 言在编译领域中，数据流分析问题是一大类问题，包括到达定值，活跃变量，可用表达式常数传播，公共子表达式删除，复写传播等诸多程序分析和程序优化问题。

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