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优化设计中的全域最优简易搜索法
引用本文:毛明智,熊勇刚.优化设计中的全域最优简易搜索法[J].湖南工业大学学报,2000,14(1).
作者姓名:毛明智  熊勇刚
作者单位:中南工业大学机电工程学院湖南长沙 410083
摘    要:确定优化设计问题全域最优解,通常的做法是,优化搜索过程首先在由独立设计变量所定义的可行域空间内进行,而在实际设计问题中,其最优解常出现在由不等式约束条件所定义的边界上。新方法只搜索某些边界,有时甚至只搜索边界的相交处。提出了一个简单的准则来确定最优解是出现在边界上还是在可行域内部。最后还给出了一个联轴器设计问题的求解过程。

关 键 词:优化设计  全域最优解  边界

A Simple Method of Global Optimum Search in Design
MAO Ming-zhi,XIONG Yong-gang.A Simple Method of Global Optimum Search in Design[J].Journal of Hnnnan University of Technology,2000,14(1).
Authors:MAO Ming-zhi  XIONG Yong-gang
Abstract:A method is presented for facilitating the determination of a global optimum in design. The volume or hypervolume which defines the feasible region in the independent variable space is first searched.The optimum or optima thus obtained usually occur, in the practical design problem, on the boundary surfaces or hypersurfaces defined by the inequality constraints. New searches are carried out on some of the boundaries and, if convenient, searches are conducted on the space curves or hypercurves that represent the intersection of the boundaries. A simple criterion is proposed for establishing previously whether the optimum actually lies on the boundaries or within the interior of the feasible dimensional volume. The computer solution of a coupling design preblem is included.
Keywords:optimal design  global optimum  boundary  
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