Enhanced IGMM optimization algorithm based on vibration for numerical and engineering problems

Recently, a new optimization procedure called ideal gas molecular movement (IGMM) algorithm was introduced by the authors. The algorithm is based on the movement of ideal gas molecules in an isolated medium. A close-up track of their movements reveals the fact that the gas molecules have locally motions such as vibration and rotation in addition to their translational motions. In this paper, a modified version of IGMM is introduced by simulating the vibration of each molecule in the form of an operand referred to as molecular operand on vibrational effect (MOVE) which causes a significant escalation in the convergence speed specially at the early stages of the optimization process. A parametric study has also been carried out with regard to alteration of four most effective parameters of the VIGMM algorithm. Consequently, the best ranges of alteration for each parameter are proposed. The results of applying the proposed vibration-based IGMM (VIGMM) to different numerical and engineering benchmark functions and the Wilcoxon's rank-sum nonparametric statistical test intensely show that the MOVE operand significantly boosts the performance of the IGMM and one could certify the significance of VIGMM, proposed in the present study, over some other meta-heuristic optimization algorithms.