生物地理学优化算法中基于Zoutendijk可行方向法的变异算子设计

根据约束优化问题的全局收敛性要求,基于传统优化与智能优化,设计了一种基于Zoutendijk可行方向法的新型变异算子,并将其应用于生物地理学优化算法,构建了一种用混合优化算法求解优化问题的方法.通过算子设计策略的理论验证、智能算法的收敛性分析及6个不同类型算例的仿真试验,证明此自适应求解优化问题机制具有实效性.

A new mutation operator designed by Zoutendijk feasible direction method in biogeography-based optimization

The article deals with a class of nonlinear constraint programming problems, and a new hybrid biogeography-based optimization algorithm is proposed to search for the value of the variables. To meet the global convergence requirements of the constraint optimization problem, a new efficient mutation operator based on Zoutendijk feasible direction method is designed by integrating the advantages of traditional and intelligent optimization so that it can generate high quality potential offspring. Then, a hybrid biogeography-based optimization algorithm is constructed to search for the optimal solution of the constraint programming. Furthermore, a specific example is demonstrated which shows that our new mechanism can be easily used to force the individuals moving toward the feasible region and improve the feasible solutions gradually. The theoretical identification of operator design strategy, convergence analysis of intelligent algorithm and simulation experiment on six different types of numerical examples verify the effectiveness of the proposed adaptive mechanism in solving optimization problem.