### Limiting the Velocity in the Particle Swarm Optimization Algorithm

#### Abstract

Velocity in the Particle Swarm Optimization algorithm (PSO) is one of its major features, as it is the mechanism used to move (evolve) the position of a particle to search for optimal solutions. The velocity is commonly regulated, by multiplying a factor to the particle’s velocity. This velocity regulation aims to achieve a balance between exploration and exploitation. The most common methods to regulate the velocity are the inertia weight and constriction factor. Here, we present a different method to regulate the velocity by changing the maximum limit of the velocity at each iteration, thus eliminating the use of a factor. Wego further and present a simpler version of the PSO algorithm that achieves competitive and, in some cases, even better results than the original PSO algorithm.

#### Keywords

Particle swarm; velocity; limits.