As the title mentioned, how can I judge the searching precision of PSO? Is this depending on the velocity of the particles? I would like to give an example to clarify my question: For a 2-D searching, the precision of grid ergodic searching is the searching step. But what the precision should be using PSO searching. From the position update formula of PSO:
$x_i \leftarrow x_i+v_i$
So, we can assume the precision of PSO searching is the maximum of velocity of particles? Is this right? Generally, we set the maximum of particle velocity is about 10% to 20% of the position scale. But with this setting, we can still obtain a good precision with PSO, which contradicts previous assumption. So the searching precision of PSO is? Or it can be expressed as a function of maximum velocity and other parameters?
It seems that PSO can realize arbitrary precision... Because if there are sufficient particle numbers and iteration times, the PSO can approach to the actual solution.