SC-System of convergence theory and foundations
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 gener...
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| Format: | Article |
| Language: | English |
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Universidad de Costa Rica
2015-08-01
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| Series: | Revista de Matemática: Teoría y Aplicaciones |
| Subjects: | |
| Online Access: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/20845 |
| _version_ | 1797727506878431232 |
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| author | Sergio G. De los Cobos Silva |
| author_facet | Sergio G. De los Cobos Silva |
| author_sort | Sergio G. De los Cobos Silva |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T11:00:43Z |
| format | Article |
| id | doaj.art-94fd8e2440c54c0fbdaecc4b0f741303 |
| institution | Directory Open Access Journal |
| issn | 2215-3373 |
| language | English |
| last_indexed | 2024-03-12T11:00:43Z |
| publishDate | 2015-08-01 |
| publisher | Universidad de Costa Rica |
| record_format | Article |
| series | Revista de Matemática: Teoría y Aplicaciones |
| spelling | doaj.art-94fd8e2440c54c0fbdaecc4b0f7413032023-09-02T05:45:24ZengUniversidad de Costa RicaRevista de Matemática: Teoría y Aplicaciones2215-33732015-08-0122234136710.15517/rmta.v22i2.2084518908SC-System of convergence theory and foundationsSergio G. De los Cobos Silva0Universidad Autónoma Metropolitana-Iztapalapa, Departamento de Ingeniería Eléctrica, Av. San Rafael Atlixco 186, Col. Vicentina, Del. Iztapalapa, México D.F.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.https://revistas.ucr.ac.cr/index.php/matematica/article/view/20845particle swarm optimizationunconstrained optimizationconstrained optimizationmultiobjective optimizationfuzzy numbers |
| spellingShingle | Sergio G. De los Cobos Silva SC-System of convergence theory and foundations Revista de Matemática: Teoría y Aplicaciones particle swarm optimization unconstrained optimization constrained optimization multiobjective optimization fuzzy numbers |
| title | SC-System of convergence theory and foundations |
| title_full | SC-System of convergence theory and foundations |
| title_fullStr | SC-System of convergence theory and foundations |
| title_full_unstemmed | SC-System of convergence theory and foundations |
| title_short | SC-System of convergence theory and foundations |
| title_sort | sc system of convergence theory and foundations |
| topic | particle swarm optimization unconstrained optimization constrained optimization multiobjective optimization fuzzy numbers |
| url | https://revistas.ucr.ac.cr/index.php/matematica/article/view/20845 |
| work_keys_str_mv | AT sergiogdeloscobossilva scsystemofconvergencetheoryandfoundations |