A Hybridized Optimal Algorithm for Multimodal Optimal Design of Inverse Problems

Particle swarm optimization (PSO) is an intelligent searching technique for solving complicated and multimodal design optimization's problems. The classical PSO algorithm is more flexible and efficient because of its ability to solve a diverse range of complex and real-world issues. Moreover, the primary deficiency of this method that it trapped and stuck to local minima during the optimization of multimodal, complex and inverse objective function. We introduce a crossover and mutation vectors in the conventional PSO to solve this deficiency. The differential evolution strategies inspired the novel vectors. The central idea of the proposal is that, the novel global best particle is updated through a mutation vector and crossover vector. The introduction of the global best particle maintains the swarm diversity at the final steps of the evolution process. Also, we designed a novel strategy for the control parameter, which will maintain a decent alignment of the candidates between the global and local searches. The performance evaluation table and trajectory curves illustrate that our proposed approach is the best compared to other methods.

Automated summary

Particle swarm optimization (PSO) is an intelligent searching technique for solving complicated design optimization problems. The traditional PSO algorithm is flexible and efficient, but it often gets trapped in local minima when dealing with complex and inverse objective functions. To overcome this limitation, we propose a modified PSO algorithm that introduces crossover and mutation vectors, as well as a novel strategy for maintaining diversity and alignment in the optimization process. Our approach outperforms other methods, as demonstrated by performance evaluations and trajectory curves.