优化问题

An optimization method is proposed to get global optimum with the higher probability based on Sequential Quadratic Programming method.

提出一种通过多次调用逐次二次规划法，以提高求得稳态优化问题全局最优解的概率的优化方法。

The existence theorem of generalized weak efficient solutions with respect to variable, cone for a linear G〓teaux differentiable mapping is proved with set valued mapping fixed-point theorem and the relation between a vector optimization and a variational inequality problem. The existence of weak efficient solutions for multi-objective convex vector optimization is characterized.

建立映射在线性G〓teaux可微条件下关于可变锥的广义弱有效解的存在性及多目标凸向量优化问题在G〓teaux可微条件下弱有效解的特征，利用集值映射不动点定理及向量优化与变分不等式的关系证明线性G〓teaux可微锥凸映射关于可变锥的广义弱有效解的存在性定理。

A layered multimodal network diagram for routing purposs is built. The viable routing problem is then formulated as a generalized shortest route problem with penalty factor, aiming at minimizing the cost of the total transportation in multi- modal networks. Assumptions and detail descriptions of the model are presented. Compendious solution thought and consultable algorithms are provided.

通过构建直观的联合运输网络图，以总运输成本最少为优化目标，将多方式联合运输合理路径的选择和优化问题转化为含有超期惩罚因子的广义最短路模型，对模型的假设和数学形式做了详细的描述，并提供了简要的求解思路和参考算法。

Because problem which has complementary constraints does not satisfyconstraints qualification, which is the assumption for nonlinear problem solvers, weuseεslackness technique to deal with this problem.

因为具有互补约束的优化问题一般不满足传统优化算法所要求的约束规范假设，所以本章采用了ε松弛的方法处理互补约束。

The ξ-efficient solution in vector optimization problems in an important solution concept.

在向量优化问题中，研究向量优化问题解集的稳定性是非常重要的[1-13]。

The notes of essential solution and essential components of solution set for vector optimization are introduced in order to research the stability of weak efficient solution of general vector optimization including the infinite dimensional problems.

对向量优化引入本质解和解集的本质连通区的概念，研究一般向量优化问题弱有效解集的稳定性。

For this, another tool-simultaneous perturbation stochastic approximation for solving optimization problems is introduced. In fact, SPSA is a simple, easily implemented and efficient stochastic approximation algorithm.

本文将 SPSA算法作为一种快速局部优化方法并将其和遗传算法的整体搜索策略结合起来，提出一种解决多目标优化问题的随机梯度遗传算法，对新算法的执行策略进行了认真的设计。

In order to ensure the strict feasibility of the optimal solution, in the lower-level of program, the constraints are imposed on the confidence upper bounds of the structural responses by constructing the "bounding ellipsoid", which can be obtained efficiently by solving some convex LSDP problems.

对于下层优化问题，本论文构造定界椭球，通过求解凸的LSDP模型来得到结构最不利响应的一个严格上界，确保了鲁棒结构优化设计的可置信性。

Based on typical stochastic functional and combinatorial optimization problems, the effects of hypothesis test, performance estimation number and magnitude of noise on the performance of the approach are studied, and the effectiveness and robustness of the proposed approach are demonstrated.

基于典型的随机函数优化和组合优化问题，仿真研究了假设检验、性能估计次数、噪声幅度对算法性能的影响，验证了所提方法的有效性和鲁棒性。

This dissertation analyzes the significance and necessity, and the development of methods of the different timesharing electric price.

本文就梯级水库短期优化问题进行研究，阐述梯级水库短期优化的基本理论和方法，并探讨了这些理论和方法在实际中的应用。

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。