dc.contributor.author Filho, Angelo Aliano dc.contributor.author Silva, Helenice Florentino dc.date.accessioned 2022-04-29T08:46:07Z dc.date.available 2022-04-29T08:46:07Z dc.date.issued 2021-01-01 dc.identifier http://dx.doi.org/10.1007/978-3-030-85476-8_3 dc.identifier.citation Springer Proceedings in Mathematics and Statistics, v. 374, p. 25-37. dc.identifier.issn 2194-1017 dc.identifier.issn 2194-1009 dc.identifier.uri http://hdl.handle.net/11449/231558 dc.description.abstract 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. en dc.format.extent 25-37 dc.language.iso eng dc.relation.ispartof Springer Proceedings in Mathematics and Statistics dc.source Scopus dc.subject Multi-objective optimization dc.subject Sustainability dc.subject ε- Constrained method dc.title The ε- Constrained Method to Solve a Bi-Objective Problem of Sustainable Cultivation en dc.type Trabalho apresentado em evento dc.contributor.institution Federal Technological University of Paraná dc.contributor.institution Universidade de São Paulo (USP) dc.description.affiliation Federal Technological University of Paraná dc.description.affiliation Institute of Bioestatistics of Botucatu State University of São Paulo dc.identifier.doi 10.1007/978-3-030-85476-8_3 dc.identifier.scopus 2-s2.0-85119892544

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