Systematic solving study for the optimization of the multiperiod blending problem : a multiple mathematical approach solution guide
In this paper, six different approaches for the multiperiod blending problem are tested in terms of global optimality and computational time using a new set of problem instances. The solution methods discussed are the standard MINLP formulation, the relaxation created using McCormick envelopes, a Ra...
- Autores:
-
Ovalle Varela, Daniel
- Tipo de recurso:
- Trabajo de grado de pregrado
- Fecha de publicación:
- 2021
- Institución:
- Universidad de los Andes
- Repositorio:
- Séneca: repositorio Uniandes
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.uniandes.edu.co:1992/51673
- Acceso en línea:
- http://hdl.handle.net/1992/51673
- Palabra clave:
- Mezcla (Ingeniería química)-Metodología-Investigaciones
Petroquímicos-Investigaciones
Líquidos-Investigaciones
Ingeniería
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-nd/4.0/
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dc.title.spa.fl_str_mv |
Systematic solving study for the optimization of the multiperiod blending problem : a multiple mathematical approach solution guide |
title |
Systematic solving study for the optimization of the multiperiod blending problem : a multiple mathematical approach solution guide |
spellingShingle |
Systematic solving study for the optimization of the multiperiod blending problem : a multiple mathematical approach solution guide Mezcla (Ingeniería química)-Metodología-Investigaciones Petroquímicos-Investigaciones Líquidos-Investigaciones Ingeniería |
title_short |
Systematic solving study for the optimization of the multiperiod blending problem : a multiple mathematical approach solution guide |
title_full |
Systematic solving study for the optimization of the multiperiod blending problem : a multiple mathematical approach solution guide |
title_fullStr |
Systematic solving study for the optimization of the multiperiod blending problem : a multiple mathematical approach solution guide |
title_full_unstemmed |
Systematic solving study for the optimization of the multiperiod blending problem : a multiple mathematical approach solution guide |
title_sort |
Systematic solving study for the optimization of the multiperiod blending problem : a multiple mathematical approach solution guide |
dc.creator.fl_str_mv |
Ovalle Varela, Daniel |
dc.contributor.advisor.none.fl_str_mv |
Gómez Castro, Camilo Hernando Gómez Ramírez, Jorge Mario |
dc.contributor.author.none.fl_str_mv |
Ovalle Varela, Daniel |
dc.contributor.jury.none.fl_str_mv |
Porras Holguín, Niyireth Alicia Suárez Bayona, Daniel Eduardo |
dc.subject.armarc.spa.fl_str_mv |
Mezcla (Ingeniería química)-Metodología-Investigaciones Petroquímicos-Investigaciones Líquidos-Investigaciones |
topic |
Mezcla (Ingeniería química)-Metodología-Investigaciones Petroquímicos-Investigaciones Líquidos-Investigaciones Ingeniería |
dc.subject.themes.none.fl_str_mv |
Ingeniería |
description |
In this paper, six different approaches for the multiperiod blending problem are tested in terms of global optimality and computational time using a new set of problem instances. The solution methods discussed are the standard MINLP formulation, the relaxation created using McCormick envelopes, a Radix-Based Discretization, a generalized disjunctive programming (GDP) formulation, a Redundant Constraint GDP formulation and a Two- Stage MILP-MINLP Decomposition (still ongoing). The addressed problem is a non-convex MINLP which has been solved for instances with a limited number of variables; hence, determining the best approach and the best solution algorithm is desirable. Results obtained show the best method is the standard MINLP, followed by the Redundant Constraint GDP and the best solution algorithms are the MIQCP algorithms provided by Gurobi. Still, results from the Two-Stage MILP-MINLP Decomposition are still ongoing and have shown promising results so far. |
publishDate |
2021 |
dc.date.accessioned.none.fl_str_mv |
2021-08-10T18:37:50Z |
dc.date.available.none.fl_str_mv |
2021-08-10T18:37:50Z |
dc.date.issued.none.fl_str_mv |
2021 |
dc.type.spa.fl_str_mv |
Trabajo de grado - Pregrado |
dc.type.coarversion.fl_str_mv |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
dc.type.driver.spa.fl_str_mv |
info:eu-repo/semantics/bachelorThesis |
dc.type.coar.spa.fl_str_mv |
http://purl.org/coar/resource_type/c_7a1f |
dc.type.content.spa.fl_str_mv |
Text |
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http://purl.org/redcol/resource_type/TP |
format |
http://purl.org/coar/resource_type/c_7a1f |
dc.identifier.uri.none.fl_str_mv |
http://hdl.handle.net/1992/51673 |
dc.identifier.pdf.none.fl_str_mv |
22752.pdf |
dc.identifier.instname.spa.fl_str_mv |
instname:Universidad de los Andes |
dc.identifier.reponame.spa.fl_str_mv |
reponame:Repositorio Institucional Séneca |
dc.identifier.repourl.spa.fl_str_mv |
repourl:https://repositorio.uniandes.edu.co/ |
url |
http://hdl.handle.net/1992/51673 |
identifier_str_mv |
22752.pdf instname:Universidad de los Andes reponame:Repositorio Institucional Séneca repourl:https://repositorio.uniandes.edu.co/ |
dc.language.iso.none.fl_str_mv |
eng |
language |
eng |
dc.rights.uri.*.fl_str_mv |
http://creativecommons.org/licenses/by-nc-nd/4.0/ |
dc.rights.accessrights.spa.fl_str_mv |
info:eu-repo/semantics/openAccess |
dc.rights.coar.spa.fl_str_mv |
http://purl.org/coar/access_right/c_abf2 |
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http://creativecommons.org/licenses/by-nc-nd/4.0/ http://purl.org/coar/access_right/c_abf2 |
eu_rights_str_mv |
openAccess |
dc.format.extent.none.fl_str_mv |
46 hojas |
dc.format.mimetype.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Universidad de los Andes |
dc.publisher.program.none.fl_str_mv |
Ingeniería Química Ingeniería Industrial |
dc.publisher.faculty.none.fl_str_mv |
Facultad de Ingeniería |
dc.publisher.department.none.fl_str_mv |
Departamento de Ingeniería Química y de Alimentos Departamento de Ingeniería Industrial |
publisher.none.fl_str_mv |
Universidad de los Andes |
institution |
Universidad de los Andes |
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spelling |
Al consultar y hacer uso de este recurso, está aceptando las condiciones de uso establecidas por los autores.http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Gómez Castro, Camilo Hernandovirtual::14542-1Gómez Ramírez, Jorge Mariovirtual::14543-1Ovalle Varela, Daniel32f570fb-06ce-4465-ade4-94a0f0fd52db500Porras Holguín, Niyireth AliciaSuárez Bayona, Daniel Eduardo2021-08-10T18:37:50Z2021-08-10T18:37:50Z2021http://hdl.handle.net/1992/5167322752.pdfinstname:Universidad de los Andesreponame:Repositorio Institucional Sénecarepourl:https://repositorio.uniandes.edu.co/In this paper, six different approaches for the multiperiod blending problem are tested in terms of global optimality and computational time using a new set of problem instances. The solution methods discussed are the standard MINLP formulation, the relaxation created using McCormick envelopes, a Radix-Based Discretization, a generalized disjunctive programming (GDP) formulation, a Redundant Constraint GDP formulation and a Two- Stage MILP-MINLP Decomposition (still ongoing). The addressed problem is a non-convex MINLP which has been solved for instances with a limited number of variables; hence, determining the best approach and the best solution algorithm is desirable. Results obtained show the best method is the standard MINLP, followed by the Redundant Constraint GDP and the best solution algorithms are the MIQCP algorithms provided by Gurobi. Still, results from the Two-Stage MILP-MINLP Decomposition are still ongoing and have shown promising results so far.Se estudiaron e implementaron seis diferentes métodos de solución para el problema del multiperiod blending y se compararon en términos de optimalidad global y tiempo computacional utilizando un nuevo conjunto de instancias. Los métodos utilizados fueron la formulación directa Mixed-Integer Nonlinear Programming (MINLP), el uso de envolturas de McCormick, una discretización basada en radicales, la formulación estándar de Generalized Disjunctive Programming (GDP), la formulación GDP con restricciones redundantes y una descomposición en dos etapas de tipo MILP-MINLP. Este problema resulta complejo dada su naturaleza no convexa y su modelamiento tipo MINLP. Así mismo, se compararon algunos algoritmos de solución comerciales disponibles para este tipo de problemas. Al final, se obtuvo que los dos mejores métodos son la descomposición y la formulación directa MINLP utilizando los algoritmos de Gurobi.Ingeniero QuímicoIngeniero IndustrialPregrado46 hojasapplication/pdfengUniversidad de los AndesIngeniería QuímicaIngeniería IndustrialFacultad de IngenieríaDepartamento de Ingeniería Química y de AlimentosDepartamento de Ingeniería IndustrialSystematic solving study for the optimization of the multiperiod blending problem : a multiple mathematical approach solution guideTrabajo de grado - Pregradoinfo:eu-repo/semantics/bachelorThesishttp://purl.org/coar/resource_type/c_7a1fhttp://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/TPMezcla (Ingeniería química)-Metodología-InvestigacionesPetroquímicos-InvestigacionesLíquidos-InvestigacionesIngeniería10278319Publicationhttps://scholar.google.es/citations?user=FGBxCvcAAAAJvirtual::14543-10000-0002-2018-4121virtual::14543-1https://scienti.minciencias.gov.co/cvlac/visualizador/generarCurriculoCv.do?cod_rh=0000870382virtual::14543-1c9bd55b2-0b42-4b25-acc4-1391a7c9dd22virtual::14542-14f5a1a48-528f-4b59-83ce-a5d765ad0163virtual::14543-1c9bd55b2-0b42-4b25-acc4-1391a7c9dd22virtual::14542-14f5a1a48-528f-4b59-83ce-a5d765ad0163virtual::14543-1THUMBNAIL22752.pdf.jpg22752.pdf.jpgIM Thumbnailimage/jpeg24079https://repositorio.uniandes.edu.co/bitstreams/18109321-03e0-4fb2-8b4e-99e50706d576/download46929e91c39d09627a4631f86ed80c6bMD55TEXT22752.pdf.txt22752.pdf.txtExtracted texttext/plain82179https://repositorio.uniandes.edu.co/bitstreams/b46a6251-2d0a-4401-b910-e11d11c1bce2/downloadb583bfdc9d460e4cc89a68ee5695fdbeMD54ORIGINAL22752.pdfapplication/pdf1045780https://repositorio.uniandes.edu.co/bitstreams/d0137535-a203-4d5c-a9e3-fce87e7a9eb5/download0998026b2767430e525a8c7dfd4185f5MD511992/51673oai:repositorio.uniandes.edu.co:1992/516732024-03-13 15:13:43.071http://creativecommons.org/licenses/by-nc-nd/4.0/open.accesshttps://repositorio.uniandes.edu.coRepositorio institucional Sénecaadminrepositorio@uniandes.edu.co |