关键词: 生物地理学优化算法, 非线性双层规划, 迁移率模型, KKT条件

Abstract:

The paper deals with a class of nonlinear bilevel programming problems in which the low level objective function is convex programming and real-coded biogeography optimization algorithm is used to solve the problems.Based on the upper's objective function,a new fitness function is proposed that can be easily used to evaluate the quality of different types of potential solutions.We first use coordinate rotation method to solve the lower problem,and then examine solution result based on the lower the KKT optimality equivalent conditions.Four different migration models are used solving the problem,and experimental results show that the proposed algorithm is stable and effective.

Key words: biogeography algorithm;nonlinear bilevel programming;migration model;KKT conditions