多元约束非线性规划的区间方法

计算物理 ›› 1992, Vol. 9 ›› Issue (S1): 539-541.

多元约束非线性规划的区间方法

王海鹰, 张乃良, 刘蕴华

河海大学, 南京 210024

收稿日期:1992-04-23 出版日期:1992-12-31 发布日期:1992-12-31

AN INTERVAL METHOD FOR SEEKING CONSTRAINED NONLINEAR PROGRAMMING OF MANY VARIABLES

Wang Haijing, Zhang Nailiang, Liu Yunhua

Hohai Uniuversity, 210024

Received:1992-04-23 Online:1992-12-31 Published:1992-12-31

摘要/Abstract

摘要： 本文给出了求解约束非线性规划的区间方法。利用连续区间扩张,函数判别法等,删除一切不包含极值点的单元。在迭代过程中同时求得最优解和最优值。数值算例表明,这种方法是有效的。

关键词: 区间方法, 多元规划, 函数判别法

Abstract: An interval method is given for solving constrained nonlinear programming. Continuous interval extension and the function test are used to delete all the unnecessary elements. The optimum solution and optimum value are obtained at the same time during the process of iteration. Numerical example is given and the result show that the method works well.

Key words: interval method, programming of many variables, the funection test

王海鹰, 张乃良, 刘蕴华. 多元约束非线性规划的区间方法[J]. 计算物理, 1992, 9(S1): 539-541.

Wang Haijing, Zhang Nailiang, Liu Yunhua. AN INTERVAL METHOD FOR SEEKING CONSTRAINED NONLINEAR PROGRAMMING OF MANY VARIABLES[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1992, 9(S1): 539-541.