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Title: Proximal decomposition method applied to energy planning problem with uncertainty
Advisor(s): Ocaña Anaya, Eladio Teófilo
OCDE field: http://purl.org/pe-repo/ocde/ford#1.01.02
Issue Date: 2018
Institution: Universidad Nacional de Ingeniería
Abstract: 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.
Discipline: Doctorado en Ciencias con Mención en Matemática
Grade or title grantor: Universidad Nacional de Ingeniería. Facultad de Ciencias. Unidad de Posgrado
Grade or title: Doctor en Ciencias con Mención en Matemática
Juror: Ochoa Jiménez, Rosendo; Dussault, Jean-Pierre; De Lara, Miche; Franco Gonzáles, Elmar Javier
Register date: 28-Feb-2024; 28-Feb-2024



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