查询词典 optimization problem

The DFP method is proved a officient one in processing unconstrainted optimization problem, so in this thesis, used the idea of mechanical structural optimization for reference analytically and extended modified formula of DFP—matrix to shape optimiation the DFP—Hamilton function method is put forward.

由于变尺度方法是有效的无约束优化方法，本文在分析的基础上借鉴了机械结构参数优化的思想，并将变尺度矩阵的修正公式扩展至形状优化中去，进而提出了变尺度—H函数极值法，并用其解决了梁、柱和复杂曲面的形状优化设计问题，取得了较好的效果。

Multiobjective optimization problem has a wide range of applications in the real world. It is different from the single objective optimization. It often involves incommensurable and competing objectives, and the number of its Pareto optimal solutions is usually infinite. Therefore, it is very important to design new algorithms which can find well distributed and close-to-Pareto-optimal solutions.

在现实世界中很多问题都是多目标优化问题，不同于单目标优化，在多目标优化中，各目标之间是互相冲突的，其最优解往往有无穷多个，如何使得到的Pareto最优曲面距离真正的Pareto最优曲面最近、最优解的分布均匀且范围更广是求解多目标优化问题的关键。

The third chapter constructs a derivative-free optimization method for linear equality constrained optimization problem and gives the proofs of the global convergence.

第三章提出了线性等式约束最优化问题的非单调无导数优化算法，并证明了这种算法的全局收敛性。

The displacement restrictor parameter optimization of the shock isolation system is a kind of nonlinear optimization problem with the restriction.

冲击隔离系统限位器参数的优化问题是一个有约束的非线性优化问题，也是一种最困难的优化问题。

In this paper,the Alopex optimization algorithm was successfully used for the global optimization problem of motor design.

文中采用Alopex优化算法，很好地解决了电机设计中的全局最优化问题。

The gradient projection method is a class of effective algorithms for constrained optimization problem,and it has an important position in optimization.

梯度投影法是一类有效的约束最优化算法，在最优化领域中占有重要的地位。

In the other hands, we present a levelvalue estimation method for solving global optimization. The global optimization problem will be converted into solve the first root of a nonlinear equation.

此外，我们提出了求解总极值问题的水平值估计方法，将一全局优化问题转化为求解一元非线性函数方程的根。

A necessary and sufficient condition for the existence of guaranteed cost control is derived. Furthermore, it is shown that this condition is equivalent to the solvability of a system of linear matrix inequalities, and its solution provides a parameterized representation of guaranteed cost controllers. Based on that, the design of the optimal guaranteed cost controller is formulated as a convex optimization problem, which can be solved by the existing convex optimization techniques.

通过采用线性矩阵不等式的方法，导出了存在保性能控制律的一个充要条件，进而，证明了该条件等价於一组线性矩阵不等式的可解性问题，并用这组线性矩阵不等式的可行解给出了保性能控制律的一个参数化表示。

Because the Gibbs free energy function has multiple minima caused by the strong nonideality and the optimization problem always has a tiresome trivial solution, local optimization algorithm will not converge to global minimum in general, which leads to wrong judgment for phase stability.

对于强非理想体系，或在高压条件下，其TPDF表现出复杂形态，有平凡解和多极值，传统方法难以求得满足约束的全局最小值，从而导致判别失误。

For solving Multi-objective and multi-restriction optimization problem , this paper used non-dominated ranking method, elitist preserve strategy, niche approaches, and presented an individual vector module adaptive function as wash out rule, then an improved Pareto multi-objective optimization with genetic algorithm was found.

为解决含多个目标和多约束的优化问题，本文结合了非支配排序思想、精英保留策略，小生境技术，并对传统的小生境技术中基于个体适应度的淘汰技术进行改进，提出了一种向量模适应度函数来作为淘汰准则，得到一种改进的Pareto遗传多目标优化算法。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。