other Optimal design Optimal design پژوهشي Research <span style="font-size:11.5pt"><span style="text-justify:inter-ideograph"><span style="text-autospace:none"><span new="" roman="" style="font-family:" times="">Vibrating particles system (VPS) is a swarm intelligence-based optimizer inspired by free vibration with a single degree of freedom systems. VPS is one of the well-known algorithms in structural optimization problems. However, its performance can be improved to find a better solution. This study introduces an improved version of the VPS using the statistical regeneration mechanism for the optimal design of the structures with discrete variables. The improved version is named VPS-SRM, and its efficiency is tested in the three real-size optimization problems. The optimization results reveal the capability and robustness of the VPS-SRM for the optimal design of the structures with discrete sizing variables.</span></span></span></span><br> &nbsp; optimal design, metaheuristic, vibrating particles system, discrete variable, size optimization, frames, trusses 219 236 http://ijoce.iust.ac.ir/browse.php?a_code=A-10-66-372&slc_lang=other&sid=1 A. Kaveh Alikaveh@iust.ac.ir 180031947532846002593 180031947532846002593 Yes School of Civil Engineering, Iran University of Science and Technology, PO Box 16846- 13114, Iran A. Zaerreza 180031947532846002594 180031947532846002594 No School of Civil Engineering, Iran University of Science and Technology, PO Box 16846- 13114, Iran J. Zaerreza 180031947532846002595 180031947532846002595 No Department of Civil Engineering, University of Tabriz, Tabriz, Iran