<p>This article presents the development and application of a mathematical model to maximize the profit obtained from the commercialization of soybean and its byproducts through their allocation, considering the company’s scenario. The differential of this research compared to others is that the model includes all stages of soybean processing, considering the production of soybean meal, crude oil, refined oil, and biodiesel. The methodology consists of the application of the Simplex Method through LINGO software. The constraints of the model are related to available resources, machine operating limits, and demand fulfillment. The model was applied to four case studies<i>,</i> using data from 2014 to 2017 provided by the Granol company. From the results, it is possible to see that soybean meal and refined oil were the byproducts that contributed the most to profit maximization since they had the best cost–benefit ratio in processing. In each case study, the profit obtained from the model was compared to the profit calculated with company data. In general, for typical periods, the model shows an average profit 15% higher than that calculated with company data.</p>

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A mathematical model for the allocation of soybean byproducts

  • Rafael Henrique Pinto e Silva,
  • Ieda Geriberto Hidalgo,
  • Marli de Freitas Gomes Hernandez

摘要

This article presents the development and application of a mathematical model to maximize the profit obtained from the commercialization of soybean and its byproducts through their allocation, considering the company’s scenario. The differential of this research compared to others is that the model includes all stages of soybean processing, considering the production of soybean meal, crude oil, refined oil, and biodiesel. The methodology consists of the application of the Simplex Method through LINGO software. The constraints of the model are related to available resources, machine operating limits, and demand fulfillment. The model was applied to four case studies, using data from 2014 to 2017 provided by the Granol company. From the results, it is possible to see that soybean meal and refined oil were the byproducts that contributed the most to profit maximization since they had the best cost–benefit ratio in processing. In each case study, the profit obtained from the model was compared to the profit calculated with company data. In general, for typical periods, the model shows an average profit 15% higher than that calculated with company data.