Um estudo sobre a otimização no beneficiamento de grãos

Abstract

The main objective of this work is to study the optimization of seed processing through linear programming. Throughout its development, concepts, definitions, and solution methods are studied. The optimization aims to increase production efficiency, reduce costs, and improve agricultural productivity, considering the relevance of the agricultural sector in Brazil. The study is divided into several stages, including a review of linear programming and the SIMPLEX method, an explanation of the grain processing process—which involves reception, pre-cleaning, drying, classification, and storage—and the presentation of a mathematical modeling proposal to optimize the costs of this process. The model was implemented in MATLAB and applied to a real scenario using data from a processing plant in S˜ao Paulo. The goal was to calculate the lowest-cost solution within a 30-day planning horizon, considering the processing capacity and storage limits. The results of the study demonstrated that linear programming can be effective in cost optimization in the agricultural sector, providing an optimized solution for minimizing grain production costs.