Proximal decomposition method applied to energy planning problem with uncertainty

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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 gen...

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Detalles Bibliográficos
Autor: Oré Albornoz, Ernesto
Formato: tesis doctoral
Fecha de Publicación:2018
Institución:Universidad Nacional de Ingeniería
Repositorio:UNI-Tesis
Lenguaje:inglés
OAI Identifier:oai:cybertesis.uni.edu.pe:20.500.14076/26928
Enlace del recurso:http://hdl.handle.net/20.500.14076/26928
Nivel de acceso:acceso abierto
Materia:Optimización matemática
Método de descomposición proximal
Planificación energética
https://purl.org/pe-repo/ocde/ford#1.01.02
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dc.title.en.fl_str_mv Proximal decomposition method applied to energy planning problem with uncertainty
title Proximal decomposition method applied to energy planning problem with uncertainty
spellingShingle Proximal decomposition method applied to energy planning problem with uncertainty
Oré Albornoz, Ernesto
Optimización matemática
Método de descomposición proximal
Planificación energética
https://purl.org/pe-repo/ocde/ford#1.01.02
title_short Proximal decomposition method applied to energy planning problem with uncertainty
title_full Proximal decomposition method applied to energy planning problem with uncertainty
title_fullStr Proximal decomposition method applied to energy planning problem with uncertainty
title_full_unstemmed Proximal decomposition method applied to energy planning problem with uncertainty
title_sort Proximal decomposition method applied to energy planning problem with uncertainty
dc.creator.none.fl_str_mv Oré Albornoz, Ernesto
author Oré Albornoz, Ernesto
author_facet Oré Albornoz, Ernesto
author_role author
dc.contributor.advisor.fl_str_mv Ocaña Anaya, Eladio Teófilo
dc.contributor.author.fl_str_mv Oré Albornoz, Ernesto
dc.subject.es.fl_str_mv Optimización matemática
Método de descomposición proximal
Planificación energética
topic Optimización matemática
Método de descomposición proximal
Planificación energética
https://purl.org/pe-repo/ocde/ford#1.01.02
dc.subject.ocde.es.fl_str_mv https://purl.org/pe-repo/ocde/ford#1.01.02
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.
publishDate 2018
dc.date.accessioned.none.fl_str_mv 2024-02-28T21:52:22Z
dc.date.available.none.fl_str_mv 2024-02-28T21:52:22Z
dc.date.issued.fl_str_mv 2018
dc.type.es.fl_str_mv info:eu-repo/semantics/doctoralThesis
format doctoralThesis
dc.identifier.uri.none.fl_str_mv http://hdl.handle.net/20.500.14076/26928
url http://hdl.handle.net/20.500.14076/26928
dc.language.iso.en.fl_str_mv eng
language eng
dc.relation.ispartof.fl_str_mv SUNEDU
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dc.format.es.fl_str_mv application/pdf
dc.publisher.es.fl_str_mv Universidad Nacional de Ingeniería
dc.publisher.country.es.fl_str_mv PE
dc.source.es.fl_str_mv Universidad Nacional de Ingeniería
Repositorio Institucional - UNI
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spelling Ocaña Anaya, Eladio TeófiloOré Albornoz, ErnestoOré Albornoz, Ernesto2024-02-28T21:52:22Z2024-02-28T21:52:22Z2018http://hdl.handle.net/20.500.14076/26928We 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. 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Facultad de Ciencias. 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Proximal decomposition method applied to energy planning problem with uncertainty
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