Multi-objective optimization of vibrating particle systems applied to engineering system design

The design of systems constitutes one of the most important pillars in engineering, in which it is desired to reduce costs, minimize time and resources, and guarantee the quality, efficiency, and safety of products. In recent decades, numerous population-based algorithms have been employed for this purpose. Among these, we can cite a new heuristic approach, the Vibrating Particles System (VPS) algorithm. This is based on simulating the free vibration of systems with one degree of freedom and viscous damping. The present work aims to extend the VPS to a multi-objective context. The results obtained considering two engineering design problems demonstrate that the proposed methodology was able to obtain good performance in terms of convergence and computational cost.