约束优化

In this paper, constrained optimal problems are solved using particle swarm optimization. Owing to constrained conditions, searching space is not bulgy and particles are easy to be limited to local optimal.

采用粒子群算法处理约束优化问题时，由於约束条件使得解空间成为非凸集合，粒子容易陷入局部最优。

The path is defined as linear combination of a sequence of conjugate directions whichare obtained by applying standard conjugate direction method to approximate quadratic functionof unconstrained optimization.

Bulteau和Vial在[7]中构造了无约束最优化问题的共轭梯度路径，其基本思想是将标准共轭方向法应用于无约束优化目标函数f的局部二次近似函数，得到一组共轭方向序列。

In addition, we introduce the application of this algorithm in function optimization, constrained optimization and parameter optimization.

并介绍了这种新算法在函数优化、约束优化和参数优化问题中的具体应用。

This paper presents a new evolutionary algorithm for solving nonlinear constrained optimization problems based on Social Cognitive Optimization.

针对非线性约束优化问题，运用了一种新的智能优化算法——社会认知优化算法。

For a class of bilevel multi-objective decision,this paper converts it into the problem of equivalent single-level multi-objective decision,then makes use of the inversion property of the genetic algorithm with the ergodic property of the chaos optimization method.

针对求解一类二层多目标决策问题，首先将其转化为等价的单目标决策问题，然后利用遗传算法优化的反演性和混沌优化方法的遍历性，并结合精确不可微罚函数求解非线性约束优化问题，提出了求解此类问题的混沌遗传算法。

For a class of bilevel multi-objective decision,this paper converts it into the problem of equivalent single-level multi-objective decision,then makes use of the inversion property of the genetic algorithm with the ergodic property of the chaos optimization method.Combined with exact non-differentiable penalty function,a new chaos genetic optimization algorithm is presented.

针对求解一类二层多目标决策问题，首先将其转化为等价的单目标决策问题，然后利用遗传算法优化的反演性和混沌优化方法的遍历性，并结合精确不可微罚函数求解非线性约束优化问题，提出了求解此类问题的混沌遗传算法。

A class of bilevel multi-objective programming was converted into the problem of equivalent single-level multi-objective programming. Then a new chaos genetic optimization algorithm was presented by using the inversion property of genetic algorithm and the ergodic property of chaos optimization method and combining with the exact l_1 penalty function.

针对求解一类二层多目标规划问题，首先将其转化为等价的单目标规划问题，然后利用遗传算法优化的反演性和混沌优化方法的遍历性，并结合精确罚函数求解非线性约束优化问题，提出了求解此类问题的混沌遗传算法。

In the paper, based on the hypothesis that the failure of every poles is independent and by the method of reliability assign and reassign, the difficult problem of disposing the structure system reliability constraints is solved. Based on sensitivity information, the given system failure probability can be replaced by the sum of every element failure probability.

针对基于体系可靠性约束优化设计的关键问题一结构体系可靠性的分析和计算，在基于结构各单元失效相互独立假设的基础上，提出了以各单元失效概率摘要之和近似体系失效概率的处理方法，并给出了体系可靠性分配和再分配的方法，以确保结构体系在优化过程中的可靠性，实现了结构基于体系可靠性的优化设计。

In the paper, based on the hypothesis that the failure of every poles is independent and by the method of reliability assign and reassign, the difficult problem of disposing the structure system reliability constraints is solved. Based on sensitivity information, the given system failure probability can be replaced by the sum of every element failure probability. And then the structural optimization design based on system reliability is preceded.

针对基于体系可靠性约束优化设计的关键问题一结构体系可靠性的分析和计算，在基于结构各单元失效相互独立假设的基础上，提出了以各单元失效概率之和近似体系失效概率的处理方法，并给出了体系可靠性分配和再分配的方法，以确保结构体系在优化过程中的可靠性，实现了结构基于体系可靠性的优化设计。

A numerical model for calculating geometric parameters of the insert pocket on a boring cutting tool with indexable inserts is presented using the constraint optimization approach offered by ANSYS.

采用ANSYS的约束优化方法，建立了可转位镗刀刀片槽几何参数优化计算的数值模型，使用该模型可得到在给定切削条件下满足设计要求并使镗刀前角值为最大而主偏角值为最小的镗刀刀片槽加工所需的几何参数；最后给出了优化计算实例。

I'm gonna go pack my regular, long bathing suit.

我要去打包我那不起眼的超长泳裤

Random number generators are used in many areas, with the improvement of the computational ability of the computer.

随着计算机计算能力的不断提高，随机数发生器在许多领域有了更加广泛的应用。