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二层规划的神经网络解法
彭爱民
作者单位
彭爱民 湖北第二师范学院数学与数量经济学院, 湖北 武汉 430205 
摘要:
本文研究了基于神经网络的二层规划问题.利用互补松弛条件的扰动,获得了二层规划问题局部最优解的充分条件,克服了互补松弛条件不满足约束规格的局限性,并给出了相应的神经网络求解方法,从而求解原二层规划问题,数值实验表明算法有效.
关键词:  二层规划  扰动  约束规格  神经网络
DOI:
分类号:O221.2
基金项目:
NEURAL NETWORKS SOLUTION OF BILEVEL PROGRAMMING PROBLEM
PENG Ai-min
Abstract:
Here is the abstract of bilevel programming based on neural networks. By using complementarity constraints, a sufficient condition is considered. It improves the drawback that constraint qualification does not hold at any feasible point when a bilevel programming is changed into a single one. We arrive at a conclusion of neural networks solution for bilevel programming. The validity of the networks is demonstrated by several numerical examples.
Key words:  bilevel programming  perturted  constraint qualification  neural networks