Optimization of Design Tolerances Using Nonlinear Programming

被引:42
作者
Bandler, J. W. [1 ]
机构
[1] McMaster Univ, Dept Elect Engn, Hamilton, ON, Canada
关键词
Engineering design; nonlinear programming; convex programming; optimization theorems; approximation of functions;
D O I
10.1007/BF00933176
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
A possible mathematical formulation of the practical problem of computer-aided design of electrical circuits (for example) and systems and engineering designs in general, subject to tolerances on k independent parameters, is proposed. An automated scheme is suggested, starting from arbitrary initial acceptable or unacceptable designs and culminating in designs which, under reasonable restrictions, are acceptable in the worst-case sense. It is proved, in particular, that, if the region of points in the parameter space for which designs are both feasible and acceptable satisfies a certain condition (less restrictive than convexity), then no more than 2(k) points, the vertices of the tolerance region, need to be considered during optimization.
引用
收藏
页码:99 / 114
页数:16
相关论文
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