Open AccessSC-System of convergence theory and foundations
Author(s) -
Sergio Gerardo De los Cobos Silva
Publication year - 2015
Publication title -
revista de matemáticas
Language(s) - English
Resource type - Journals
eISSN - 2215-3373
pISSN - 1409-2433
DOI - 10.15517/rmta.v22i2.20845
Subject(s) - benchmark (surveying) , convergence (economics) , particle swarm optimization , mathematical optimization , computer science , optimization problem , multi swarm optimization , mathematics , geography , economics , geodesy , economic growth
In this paper a novel system of convergence (SC) is presented as well as its fundamentals and computing experience. An implementation using a novel mono-objetive particle swarm optimization (PSO) algorithm with three phases (PSO-3P): stabilization, generation with broad-ranging exploration and generation with in-depth exploration, is presented and tested in a diverse benchmark problems. Evidence shows that the three-phase PSO algoritm along with the SC criterion (SC-PSO-3P)can converge to the global optimum in several difficult test functions for multiobjective optimization problems, constrained optimization problems and unconstrained optimization problems with 2 until 120,000 variables.