A Neural Network Method for Nonlinear Bilevel Programming Problems
Yibing Lü · Journal of Yangtze University · 2011
This paper mainly studies the algorithm for solving the nonlinear bilevel programming problem,of which the lower problem is convex programming.When the lower problem is convex programming problem,the K-T conditions are used instead of the lower problem to transform the nonlinear bilevel programming into the corresponding single level programs,then a penalty function is structured for the nonlinear programming problem,the method of neural networks is proposed for solving the problem,the numerical experiment results show the method is feasible and effective.