The ε- Constrained Method to Solve a Bi-Objective Problem of Sustainable Cultivation

Detalhes bibliográficos
Autor(a) principal: Filho, Angelo Aliano
Data de Publicação: 2021
Outros Autores: Silva, Helenice Florentino
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/978-3-030-85476-8_3
http://hdl.handle.net/11449/231558
Resumo: This study presents a nonlinear bi-objective 0-1 optimization model for sustainable cultivation and proposes an exact method to solve it. In this formulation, among a set of cultures, a predefined number of cultivable plots and planning horizon, it is intended to decide which crops, periods and plots should be cultivated. Two conflicting objectives are considered: (i) minimize the proliferation of pests and (ii) maximize the profit of the planting schedule in all planning horizon. The mathematical formulation was solved by the classical ε- constrained method. We linearized the original model and obtained an alternative linear version of our problem. Then, we compare the performance of ε- constrained method in this two formulation to determine some Pareto optimal solutions in 27 instances generated by a semi-random procedure of real dimension. The experiments showed that mathematical models along with the proposed method may be powerful tools in the complex decision-making in this field.
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spelling The ε- Constrained Method to Solve a Bi-Objective Problem of Sustainable CultivationMulti-objective optimizationSustainabilityε- Constrained methodThis study presents a nonlinear bi-objective 0-1 optimization model for sustainable cultivation and proposes an exact method to solve it. In this formulation, among a set of cultures, a predefined number of cultivable plots and planning horizon, it is intended to decide which crops, periods and plots should be cultivated. Two conflicting objectives are considered: (i) minimize the proliferation of pests and (ii) maximize the profit of the planting schedule in all planning horizon. The mathematical formulation was solved by the classical ε- constrained method. We linearized the original model and obtained an alternative linear version of our problem. Then, we compare the performance of ε- constrained method in this two formulation to determine some Pareto optimal solutions in 27 instances generated by a semi-random procedure of real dimension. The experiments showed that mathematical models along with the proposed method may be powerful tools in the complex decision-making in this field.Federal Technological University of ParanáInstitute of Bioestatistics of Botucatu State University of São PauloFederal Technological University of ParanáUniversidade de São Paulo (USP)Filho, Angelo AlianoSilva, Helenice Florentino2022-04-29T08:46:07Z2022-04-29T08:46:07Z2021-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject25-37http://dx.doi.org/10.1007/978-3-030-85476-8_3Springer Proceedings in Mathematics and Statistics, v. 374, p. 25-37.2194-10172194-1009http://hdl.handle.net/11449/23155810.1007/978-3-030-85476-8_32-s2.0-85119892544Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengSpringer Proceedings in Mathematics and Statisticsinfo:eu-repo/semantics/openAccess2022-04-29T08:46:07Zoai:repositorio.unesp.br:11449/231558Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T22:17:05.608442Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv The ε- Constrained Method to Solve a Bi-Objective Problem of Sustainable Cultivation
title The ε- Constrained Method to Solve a Bi-Objective Problem of Sustainable Cultivation
spellingShingle The ε- Constrained Method to Solve a Bi-Objective Problem of Sustainable Cultivation
Filho, Angelo Aliano
Multi-objective optimization
Sustainability
ε- Constrained method
title_short The ε- Constrained Method to Solve a Bi-Objective Problem of Sustainable Cultivation
title_full The ε- Constrained Method to Solve a Bi-Objective Problem of Sustainable Cultivation
title_fullStr The ε- Constrained Method to Solve a Bi-Objective Problem of Sustainable Cultivation
title_full_unstemmed The ε- Constrained Method to Solve a Bi-Objective Problem of Sustainable Cultivation
title_sort The ε- Constrained Method to Solve a Bi-Objective Problem of Sustainable Cultivation
author Filho, Angelo Aliano
author_facet Filho, Angelo Aliano
Silva, Helenice Florentino
author_role author
author2 Silva, Helenice Florentino
author2_role author
dc.contributor.none.fl_str_mv Federal Technological University of Paraná
Universidade de São Paulo (USP)
dc.contributor.author.fl_str_mv Filho, Angelo Aliano
Silva, Helenice Florentino
dc.subject.por.fl_str_mv Multi-objective optimization
Sustainability
ε- Constrained method
topic Multi-objective optimization
Sustainability
ε- Constrained method
description This study presents a nonlinear bi-objective 0-1 optimization model for sustainable cultivation and proposes an exact method to solve it. In this formulation, among a set of cultures, a predefined number of cultivable plots and planning horizon, it is intended to decide which crops, periods and plots should be cultivated. Two conflicting objectives are considered: (i) minimize the proliferation of pests and (ii) maximize the profit of the planting schedule in all planning horizon. The mathematical formulation was solved by the classical ε- constrained method. We linearized the original model and obtained an alternative linear version of our problem. Then, we compare the performance of ε- constrained method in this two formulation to determine some Pareto optimal solutions in 27 instances generated by a semi-random procedure of real dimension. The experiments showed that mathematical models along with the proposed method may be powerful tools in the complex decision-making in this field.
publishDate 2021
dc.date.none.fl_str_mv 2021-01-01
2022-04-29T08:46:07Z
2022-04-29T08:46:07Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1007/978-3-030-85476-8_3
Springer Proceedings in Mathematics and Statistics, v. 374, p. 25-37.
2194-1017
2194-1009
http://hdl.handle.net/11449/231558
10.1007/978-3-030-85476-8_3
2-s2.0-85119892544
url http://dx.doi.org/10.1007/978-3-030-85476-8_3
http://hdl.handle.net/11449/231558
identifier_str_mv Springer Proceedings in Mathematics and Statistics, v. 374, p. 25-37.
2194-1017
2194-1009
10.1007/978-3-030-85476-8_3
2-s2.0-85119892544
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Springer Proceedings in Mathematics and Statistics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 25-37
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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