Population-based Search Based on Spatial or Temporal Scale-free Behaviors of Individuals

Abstract

We develop two types of simple population-based search methods that model two types of scale-free behaviors of individuals. The scale-free behavior is a particular behavior of individuals of species that search for food not cooperatively but independently. One type of the scale-free behaviors is that a moving distance of an individual from the present food source follows a power low distribution, which is called the spatial scale-free behavior. The other is that a staying duration of an individual at the preset food source follows a power low distribution, which is called the temporal scale-free behavior. In addition, we conduct simulations assuming static and dynamic environments in which a position of a food source is not changed and changed, respectively, and compares the characteristics of the two search methods.