The Research And Application Of Quantum Behavior Simple Brain Storm Optimization With Simplex Search

Intelligent optimization algorithm plays a very important role in solving optimization problems.Intelligent optimization algorithm has the advantages of less information and wide application range,so it can be applied to solve many optimization problems.Many researchers have proposed a variety of intelligent optimization algorithms,among which brain storm optimization algorithm(BSO)has attracted a large number of researchers since it was proposed.This paper improves the brain storm optimization algorithm and applies the improved algorithm to find multiple roots of nonlinear equations systems(NESs).This paper mainly focuses on simple BSO(Sim BSO)algorithm,a modfied BSO which simplified the structure of BSO.We mainly studies Sim BSO in the following three aspects:(1)Improve Sim BSO algorithm,enhance the global search ability and local search ability,and propose quantum behavior simple brain storm optimization with simplex search algorithm(QSimplex-Sim BSO);(2)The vacuum repulsion technique is proposed and integrated into QSimplex-Sim BSO to find the multiple roots of NESs;(3)A new problem was found in a class of intelligent optimization algorithms combined with nelder mead simplex algorithm(NMS),where the local search ability of NMS algorithm is limited by the combination of NMS algorithm and intelligent optimization algorithm.Hence we propose a new combination method to solve this problem.The academic contributions of this paper mainly include the following aspects:(1)On the premise of maintaining the simple algorithm structure of Sim BSO,the search ability of the Sim BSO is improved by simulating quantum behavior and combination with NMS algorithm;(2)An improved repulsion method is proposed to finding the multiple roots of NESs.The new method can reduce the computational cost of finding another root after a root has been found;(3)For the intelligent optimization algorithms integrated with NMS algorithm,a new combination method is used to enhance the local search ability.