Weighted Superposition Attraction (WSA): A swarm intelligence algorithm for optimization problems - Part 1: Unconstrained optimization

This paper is the first one of the two papers entitled "Weighted Superposition Attraction (WSA)", which is based on two basic mechanisms, "superposition" and " attracted movement of agents", that are observable in many systems. Dividing this paper into two parts raised as a necessity because of their individually comprehensive contents. If we wanted to write these papers as a single paper we had to write more compact as distinct from its current versions because of the space requirements. So, writing them as a single paper would not be as effective as we desired