Minimizing Energy of P oint Charges on a Sphere using Symbiotic Organisms Search Algorithm

Determination of the optimal configurations of �� identical point charges on a unit sphere, known as Thomson's problem, is a well-known energy optimization problem in physics. In this paper we have determined the minimum energy for various values of �� using Symbiotic Organisms Search (SOS) algorithm, up to �� = 200. The energy values considered in the study are found to be in good agreement with the existing values. Results are presented for various values of �� ranging from 3 to 200 along with the convergence graph. We found that SOS algorithm provides better optimal values of energy compared to hybrid approach of Evolutionary algorithm and Spectral Gradient for unconstrained condition (EA_SG2) method.