正交计算设计法

根据正交设计的理论,本文提出了正交计算设计法。该法利用正交表,用球域内随机点法确定计算点。该法是一种求解无约束或有约束优化问题的直接解法。它既发扬了网络法3]的简单、直观,对目标函数无特殊要求、约束条件容易控制等优点,又避免了网络法计算量大的缺点。由于找到了按行构造正交表的方法,使得程序编制变得简便,且存储量也大为减少。计算实例表明:该法的计算精度能满足一般工程要求;它适用于中小型优化课题,是一种可行的实用优化法。

Orthogonal Calculating Design Method

In this paper the orthogonal calculating design method hasbeen advanced on the basis of the theory of orthogonal design.The method has madeuse of orthogonal table so that the calculating points can te determined in a spherefield. It can be used to solve unconstrained and constrained optimization problems.The method not only develops the merits of net method such as simplicity, visual-ization, etc. but also avoids demerts of net method such as greatness of calculatingamount. When orthogonal table is formed line by line, it is simple to draw upprograms and storages can greatly be decreased. Practical calculations have provedthat calculating accuracy of the method can meet the needs of general engineering,that it is suitable for small or medium optimization problems, that it is a feasibleoptimization method.