Spiral Multipoint Search for Global Optimization

Metaheuristics is a framework of practical methods for global optimization problems. We recently proposed a new metaheuristics method inspired from spiral phenomena in nature which is called spiral optimization. However, the spiral optimization was restricted to 2-dimensional continuous optimization problems. In this paper, we develop a spiral optimization method for n-dimensional continuous optimization problems by constructing an n-dimensional spiral model. The n-dimensional spiral model is designed using rotation matrices in n-dimensional space. Simulation results for different benchmark problems show the effectiveness of our proposal compared to PSO and DE.