摘要
本文利用区间分析方法给出一类约束非线性规划问题的求解方法.提出了广义可行区间等概念.利用连续区间扩张、函数值判别法等,删除非广义可行区间,在迭代过程中同时求出最优值和最优解.并且证明了算法的收敛性.文中应用此法给出两个算例,数值结果令人满意.本文方法可以推广到求解高维约束非线性规划问题.
An interval analysis method is given for solving constrained nonlinear programming. Continuous interval extension and the midpoint 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. Two calculation examples are given and the numerical results show that this method is efficient. The method can be extended to higher dimensional problems.
出处
《河海大学学报（自然科学版）》
CAS
CSCD
1992年第3期97-103,共7页
Journal of Hohai University(Natural Sciences)
关键词
区间方法
非线性规划
优界函数
interval method
nonlinear programming
extended feasible interval
dominant function
