| dc.contributor | Ocaña Anaya, Eladio Teófilo | |
| dc.creator | Oré Albornoz, Ernesto | |
| dc.creator | Oré Albornoz, Ernesto | |
| dc.date | 2024-02-28T21:52:22Z | |
| dc.date | 2024-02-28T21:52:22Z | |
| dc.date | 2018 | |
| dc.date.accessioned | 2024-05-02T22:51:20Z | |
| dc.date.available | 2024-05-02T22:51:20Z | |
| dc.identifier | http://hdl.handle.net/20.500.14076/26928 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/9279948 | |
| dc.description | We focus in this thesis, on splitting methods which be applied to special optimization or inclusion problems considering its related inclusion problems with an appropriated Lagrangian map.
In a general setting for solving a monotone inclusion problem and obtain splitting algorithms, we develop a generalized proximal point and construct a related map with similar contraction properties as the resolvent map. Our general setting includes popular splitting algorithms.
Also, we show decomposition techniques in order to solve the multi-block version of our model problems, _nding adequate formulations of the original problem and then apply a particular algorithm version of our general scheme.
Finally, we apply the splitting method to a large-scale energy production planning problem. | |
| dc.description | Tesis | |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad Nacional de Ingeniería | |
| dc.publisher | PE | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.source | Universidad Nacional de Ingeniería | |
| dc.source | Repositorio Institucional - UNI | |
| dc.subject | Optimización matemática | |
| dc.subject | Método de descomposición proximal | |
| dc.subject | Planificación energética | |
| dc.subject | http://purl.org/pe-repo/ocde/ford#1.01.02 | |
| dc.title | Proximal decomposition method applied to energy planning problem with uncertainty | |
| dc.type | info:eu-repo/semantics/doctoralThesis | |
