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可行方向     
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  feasible direction
     In this paper, the application of three different feasible direction methods—Generalized Reduced Gradient(GRG) method, Feasible Point(FP) method and Sequential Quadratic Programming(SQP) method to RPO are discussed.
     本文讨论了三种可行方向法—广义简约梯度(Generalized Reduced Gradient, GRG)法、可行点(Feasible Point,FP)法和序列二次规划(Sequential Quadratic Programming,SQP)法应用于无功优化问题。
短句来源
     Learning NMF Representation Using a Hybrid Method Combining Feasible Direction Algorithm and Simulated Annealing
     可行方向算法与模拟退火结合的NMF特征提取方法
短句来源
     A new hybrid genetic algorithm is presented by introducing feasible direction method into genetic algorithm,and a new calculation
     将数值优化方法中的可行方向法引入常用的仿生算法——遗传算法中,得到了一种高效的杂交遗传算法——可行方向遗传算法。
     A Feasible Direction Method of Multiobjective Nonlinear Two-Level Optimization Problems with Leader-Follower Structure
     具有主从结构的多目标非线性两层优化问题的可行方向
短句来源
     A UNIFIED APPROACH TO FEASIBLE DIRECTION METHODS FOR SOLVING NONLINEAR MINIMAX PROBLEMS
     解非线性Minimax问题的可行方向法之统一探讨
短句来源
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  feasible directions
     A method of feasible directions for nonolinear programming problem min{f(x) |A_1x=b~1, A_2x
     本文利用系列二次规划技术,给出非线性规划问题min{f(x)lA_1x=b~1,A_2x=b~2}的一种可行方向法。
短句来源
     In this paper, a simple method of searching for feasible directions is put forward.
     针对可行方向法中,搜索可用的可行方向这一困难的环节,提出一种简单的确定可行方向的方法.
短句来源
     SOME CONCLUSIONS ABOUT THE FEASIBLE DIRECTIONS OF QUASICONVEX FUNCTION
     拟凸函数可行方向的一些结论
短句来源
     The method of feasible directions (MFD for short) is an important method for solving nonlin-early constrained optimization.
     可行方向法(简称为MFD)是用于求解非线性约束最优化重要的方法之一。
短句来源
     Methods of feasible directions are important method of a kind of solving a nonlinear programming problem.
     可行方向法是求解非线性规划问题的一类重要方法。
短句来源
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  feasible descent direction
     This paper introduces a feasible direction method for solving the high-dimen- sional convex quadratic programming. In this method, the feasible descent direction is formed of the cone spanned by the vectors that correspond to the generalized active epsilon-constraints and is obtained by solving a low-dimensional linear programming. The optimal step length .
     本文介绍一种求解高维凸二次规划的可行方向方法.该方法的可行下降方向是由ε有效广义约束向量所张成的锥构造的,它可通过求解一个低维的线性规划得到.最优步长可由简单的公式给出,不必进行精确的线性搜索。
短句来源
     In this paper, using the vector cone spanned by the vectors corresponding to the generalized active ε constraint and solving a lower dimensional simple LP subproblcm to obtain a feasible descent direction, we construct an algorithm for solving large scale nonlinear programming problem with linear inequality constraints.
     本文利用ε有效广义约束向量所张成的向量锥方法,通过求解一个低维的线性规划子问题获得一个可行下降方向,从而给出了求解具有线性不等式约束非线性规划问题的一个可行方向法。
短句来源
  “可行方向”译为未确定词的双语例句
     STRONG COMBINED PHASE Ⅰ-PHASE Ⅱ METHODS OF SUBFEASIBLE DIRECTIONS
     强组合PhaseⅠ-PhaseⅡ次可行方向
短句来源
     This paper reviewed the applications of electrochemical methods on the study of natural antioxidants and prospected the tendency of electrochemical study on natural antioxidants.
     从天然抗氧化剂的电化学分析、抗氧化活性的电化学评价、与DNA相互作用的电化学研究、电极过程动力学探讨等四个方面综述了电化学方法在天然抗氧化剂研究中的应用,并展望了天然抗氧化剂电化学研究的可行方向
短句来源
     It is extension of the method of Topkis and veinott.
     它是 TOPKiS——Veinott 的可行方向算法的推广。
短句来源
     A Unified Model of Strongly Subfeasible Directions Method Using Generalized Projection for Nonlinear Constrained Optimization
     非线性约束最优化在广义投影下强次可行方向法的统一模型
短句来源
     A Superlinearly Convergent Norm-Relaxed Method of Strongly Sub-Feasible Directions for Nonlinearly Constrained Optimization
     非线性约束最优化超线性收敛的模松弛强次可行方向
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  feasible direction
An algorithm is proposed which uses the method of a feasible direction matrix.
      
A unified approach to the feasible direction methods for nonlinear programming with linear constraints
      
The algorithm is of the feasible direction method type.
      
Case studies performed using a combination of penalty function and feasible direction optimization methods indicate that the presence of the axisymmetric initial imperfection in the cylinder wall can significantly affect the optimal designs.
      
On the computer implementation of feasible direction interior point algorithms for nonlinear optimization
      
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  feasible directions
The method of feasible directions for mathematical programming problems with preconvex constraints
      
The convergence of the method of feasible directions is proved for the case of the smooth objective function and a constraint in the form of the difference of convex sets (the so-called preconvex set).
      
It uses a comprehensive analysis program, CAMRAD/JA, capable of performing analyses in all involved disciplines in a consistent and efficient manner, together with CONMIN's method of feasible directions.
      
A simple ad-hoc-method for the resulting nonconvex problems can be interpreted as a descent algorithm of feasible directions which reaches a local optimum in a finite number of steps.
      
An optimization algorithm based on the method of feasible directions
      
更多          
  feasible descent direction
Then, the linear system is perturbed in such a way as to deflect the descent direction and obtain a feasible descent direction.
      
We propose a steepest descent method for unconstrained multicriteria optimization and a "feasible descent direction" method for the constrained case.
      
At each iteration a descent direction is defined; by modifying it, we obtain a feasible descent direction.
      
This method uses a linearly constrained positive semidefinite quadratic problem to generate a feasible descent direction at each iteration.
      
At each iteration, the algorithm determines a feasible descent direction by minimizing a linear or quadratic approximation to the cost on the feasible set.
      
更多          


This paper discusses the application of optimization technique in boiler design.

本文讨论最优化方法在锅炉设计中的应用。文章前半部分结合直流锅炉水冷壁系统的优化设计模型,介绍了如何选择目标,确定独立变量,构造目标函数和约束函数;后半部分介绍了“序贯无约束极小化方法”(SUMT)和“转动坐标轴直接搜索可行方向法”(DSFD)的应用及分析。最后提出了继续深入该项研究工作的方向。

An important problem appeared in the use of finite element method is that, for a special problem, especially for a problem of singularity with the character of stress concentration, how a possibly accurate computational result can be obtained with least or almost least computation efforts. This is the optimal discretization problom in finite element analysis develop3d during recent decade. In the past several years, a lot of optimization criteria and corresponding proceduies have been proposed. The purpose of...

An important problem appeared in the use of finite element method is that, for a special problem, especially for a problem of singularity with the character of stress concentration, how a possibly accurate computational result can be obtained with least or almost least computation efforts. This is the optimal discretization problom in finite element analysis develop3d during recent decade. In the past several years, a lot of optimization criteria and corresponding proceduies have been proposed. The purpose of the present paper is to suggest a new practical and effective method for improving the finite element discretization based on error analysis and mathematical programming. By error analysis a feasible direction for minimization can be found and then, through an one-dimensional search, the near-optimum discretization is obtained. The difficulty and deficiency encountered in existing methods can be avoided here.That is, on the one hand the method presented here avoids the time-consuming computation as in the mathematical programming and avoids the difficulty encountered in a batch-mode operation, on the other hand, the computation of contour lines of the strain energy density and the use of interactive computer graphics are not needed. After a relatively simple operation, the near-optimum finite element discretization can be resulted. The computational results of numerical illustrations show that, in the best situation, the total strain energy can be improved by an increase of 76% which, as reported in a paper by W. E. Carroll, is equivalent to an increase of the total number of degrees of freedom from 40 to 4900. The merit is notable.

在用有限元素法进行分析时的一个重要问题是,对于一个特定的问题,尤其是对于具有应力集中性质的带奇点的问题,怎样才能以尽可能少的计算工作量获得尽可能高的计算精确度,这就是在过去十年中迅速发展起来的有限元最优离散化问题。几年来,已经提出了不少优化准则和算法。本文的目的在于提出一项改善有限元离散化的有效方法,以避免现有方法中的一些困难和不足,即:既可以避免纯数学规划法中过于庞大的计算时间,又可以避免批处理方式的麻烦。它编制程序简便,也无需计算等高线的专用软件以及与计算机接口的图象显示设备。它从误差分析得到使离散化近乎最优的可行方向,再通过一维搜索得到近乎最优的离散化。数值例题表明,在最理想的情况下,采用本文方法进行优化可以使总应变能提高76%,相当于把自由度总数从40提高到4900,得益是十分显著的。

This paper reports on the modified feasible direction method,a new method of structural optimization design.The method is simple and convenient,and the amplitude of the modifying parameters is larger in each iteration.There is rapid convergence and less number of structural reanalysis.In comparison with various criteria methods,the feasible direction meth-hods and the other constrained optimization techniques have distinct advantages,and are especially applicable to solving the problems of optimization design...

This paper reports on the modified feasible direction method,a new method of structural optimization design.The method is simple and convenient,and the amplitude of the modifying parameters is larger in each iteration.There is rapid convergence and less number of structural reanalysis.In comparison with various criteria methods,the feasible direction meth-hods and the other constrained optimization techniques have distinct advantages,and are especially applicable to solving the problems of optimization design for large scale structures subjected to multiple displacemnt constraints and multiple stressed constraints under multiple loading conditions.

本文提出了一种结构优化设计的新方法——改进的可行方向法。该方法计算简单、方便,一次调参幅度大,收敛快,重复的结构分析次数少,较之现有的各种准则法、可行方向法以及其它约束最优化方法有显著的优越性,特别适用于求解在多种载荷条件下,具有多个位移约束和应力约束条件的大型结构优化设计问题。

 
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