Utilização de modelagem matemática para otimizar o planejamento de atividades em bananais

Abstract

This paper aims to optimize the planning of labor allocation for activities related to the planting, harvesting, and storage of bananas, considering plantations of different sizes. The main objective is to develop mathematical models based on Linear Programming, taking into account the constraints inherent to the activities carried out in banana plantations, from soil preparation to the stage in which the fruit is ready for transportation. Although there are studies addressing similar problems in other agricultural crops, the literature review did not identify works that consider the specific characteristics of banana cultivation, despite it being one of the most widely grown fruits in Brazil. As a result of this research, two models are developed: one focused on the scheduling of activities in banana plantations and another aimed at the allocation of workers to the previously scheduled activities. Finally, the characteristics and practical limitations of these models for real-world applications are discussed.