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A comparison among optimization software to solve bi-objective sectorization problem

dc.contributor.authorTeymourifar, Aydin
dc.date.accessioned2023-07-31T15:55:54Z
dc.date.available2023-07-31T15:55:54Z
dc.date.issued2023-08-01
dc.description.abstractIn this study, we compare the performance of optimization software to solve the bi-objective sectorization problem. The used solution method is based on an approach that has not been used before in the literature on sectorization, in which, the bi-objective model is transformed into single-objective ones, whose results are regarded as ideal points for the objective functions in the bi-objective model. Anti-ideal points are also searched similarly. Then, using the ideal and anti-ideal points, the bi-objective model is redefined as a single-objective one and solved. The difficulties of solving the models, which are basically non-linear, are discussed. Furthermore, the models are linearized, in which case how the number of variables and constraints changes is discussed. Mathematical models are implemented in Python's Pulp library, Lingo, IBM ILOG CPLEX Optimization Studio, and GAMS software, and the obtained results are presented. Furthermore, metaheuristics available in Python's Pymoo library are utilized to solve the models' single- and bi-objective versions. In the experimental results section, benchmarks of different sizes are derived for the problem, and the results are presented. It is observed that the solvers do not perform satisfactorily in solving models; of all of them, GAMS achieves the best results. The utilized metaheuristics from the Pymoo library gain feasible results in reasonable times. In the conclusion section, suggestions are given for solving similar problems. Furthermore, this article summarizes the managerial applications of the sectorization problems.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1016/j.heliyon.2023.e18602pt_PT
dc.identifier.eid85166662622
dc.identifier.issn2405-8440
dc.identifier.pmcPMC10412777
dc.identifier.pmid37576245
dc.identifier.urihttp://hdl.handle.net/10400.14/41995
dc.identifier.wos001051823200001
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectMulti-objective optimizationpt_PT
dc.subjectSectorizationpt_PT
dc.subjectMixed integer non-linear programmingpt_PT
dc.subjectGAMSpt_PT
dc.subjectCPLEXpt_PT
dc.subjectLingopt_PT
dc.subjectPythonpt_PT
dc.subjectPulppt_PT
dc.subjectPymoopt_PT
dc.subjectGApt_PT
dc.subjectNSGA-IIpt_PT
dc.titleA comparison among optimization software to solve bi-objective sectorization problempt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.issue8
oaire.citation.titleHeliyonpt_PT
oaire.citation.volume9
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT

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