Optimization of Design Tolerances Using Nonlinear Programming

作     者：Bandler, J. W. 

作者机构：McMaster Univ Dept Elect Engn Hamilton ON Canada 

出 版 物：《JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS》 (优选法理论与应用杂志)

年 卷 期：1974年第14卷第1期

页      面：99-114页

核心收录：

学科分类：1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Engineering design nonlinear programming convex programming optimization theorems approximation of functions 

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.