新型工业化
新型工業化
신형공업화
New Industrialization Straregy
2014年
1期
38-45
,共8页
约束最优化%凝聚函数%最优化
約束最優化%凝聚函數%最優化
약속최우화%응취함수%최우화
Constrained optimization problems%aggregate function%optimization
凝聚函数法(AFM)是用于求解约束最优化问题的有效方法之一,然而,凝聚函数法本身存在解发散和数据溢出问题。为系统地解决凝聚函数法的以上缺陷,本文提出一种全新的凝聚函数,通过增加稳定项来解决解发散的问题,增加指数渐消因子解决数值计算中的数据溢出问题。此外,本文还给出凝聚函数和改进的凝聚函数的性质。
凝聚函數法(AFM)是用于求解約束最優化問題的有效方法之一,然而,凝聚函數法本身存在解髮散和數據溢齣問題。為繫統地解決凝聚函數法的以上缺陷,本文提齣一種全新的凝聚函數,通過增加穩定項來解決解髮散的問題,增加指數漸消因子解決數值計算中的數據溢齣問題。此外,本文還給齣凝聚函數和改進的凝聚函數的性質。
응취함수법(AFM)시용우구해약속최우화문제적유효방법지일,연이,응취함수법본신존재해발산화수거일출문제。위계통지해결응취함수법적이상결함,본문제출일충전신적응취함수,통과증가은정항래해결해발산적문제,증가지수점소인자해결수치계산중적수거일출문제。차외,본문환급출응취함수화개진적응취함수적성질。
In this paper,the aggregate function method(AFM)for constrained optimization prob-lems(COP)is investigated. The AFM is effective for solving multiple inequality-constrained optimiza-tion problems. However,the inherent demerits of the AFM,both in convergence and data overflow, seem to have gone unnoticed. To address these issues systematically,some necessary measures have beem taken to deal with such problems,such as adding the stable term and introducing the exponent reduction parameter to the original aggregate function,which are highlighted in the entire paper. More-over,the associated properties of both the AFM and the improved AFM(IAFM)are presented.