Multimodal Function Optimization

Here, we present numerical simulation results to evaluate the efficacy of the GSO algorithm in capturing multiple optima of multimodal optimization problems. We restrict our experiments to maximization problems as the algorithm can be easily modified and used for minimization problems. We have considered a representative set of multimodal test functions that pose different cases such as unequal peaks, equal peaks, peaks of concentric circles, peak-regions involving step-discontinuities, and plateaus of equal heights. Here we have shown the simulation results for Rastrigin's function and Circles function. 

Rastrigin's Function

Function Profile

Simulation Result

Circles Function

Function Profile

Simulation Result