A New Integrated Mathematical Model for Agro-Food Supply Chain

Sustainable agriculture production has been recently one of the required changes in many countries. In this paper, an optimization model is presented for stimulating the crop rotation problem with industrial-related decisions in the agro-food supply chain. The current study's main purpose is to identify the optimal rotation schedules in a restricted area while satisfying the required demand in the industrial sector. The combinatorial nature of the agricultural problem is due to several factors that must be considered simultaneously. These factors include but are not limited to the succession of crops, irrigation amount, fallow periods, and space limitation. The mentioned factors make crop rotation a complex problem, so combining this problem with the tactical industrial problem leads to a challenging integrated problem in the agro-food supply chain. Set of instances for exploring the problem's complexity are solved to optimality. From the results, the associated number of variables and the computational time were outlined within the rotation planning horizon. The solutions for the production and logistics plans were discussed along the supply chain.