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Exact and heuristic methods to solve a bi-objective problem of sustainable cultivation

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Author(s):
Aliano Filho, Angelo ; de Oliveira Florentino, Helenice ; Pato, Margarida Vaz ; Poltroniere, Sonia Cristina ; da Silva Costa, Joao Fernando
Total Authors: 5
Document type: Journal article
Source: ANNALS OF OPERATIONS RESEARCH; v. 314, n. 2, p. 30-pg., 2019-11-14.
Abstract

This work proposes a binary nonlinear bi-objective optimization model for the problem of planning the sustainable cultivation of crops. The solution to the problem is a planting schedule for crops to be cultivated in predefined plots, in order to minimize the possibility of pest proliferation and maximize the profit of this process. Biological constraints were also considered. Exact methods, based on the nonlinear model and on a linearization of that model were proposed to generate Pareto optimal solutions for the problem of sustainable cultivation, along with a metaheuristic approach for the problem based on a genetic algorithm and on constructive heuristics. The methods were tested using semi-randomly generated instances to simulate real situations. According to the experimental results, the exact methodologies performed favorably for small and medium size instances. The heuristic method was able to potentially determine Pareto optimal solutions of good quality, in a reduced computational time, even for high dimension instances. Therefore, the mathematical models and the methods proposed may support a powerful methodology for this complex decision-making problem. (AU)

FAPESP's process: 14/01604-0 - A multiobjective methodology for renewable energy
Grantee:Helenice de Oliveira Florentino Silva
Support Opportunities: Scholarships abroad - Research
FAPESP's process: 14/04353-8 - Multiobjective optimization applied to sugarcane biomass utilization for generation of energy
Grantee:Daniela Renata Cantane
Support Opportunities: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry
Grantee:Francisco Louzada Neto
Support Opportunities: Research Grants - Research, Innovation and Dissemination Centers - RIDC