A Branch-and-Price Algorithm for Sustainable Crop Rotation Planning
Résumé
We deal with the agricultural problem of planning crops over a given time horizon and given land plots to meet the farmer?s needs over time. The MSCRP (Minimum-Space Crop Rotation Planning) focuses on building rotations that minimize the total area needed to meet demand. We show that the MSCRP problem is NP-hard and give a 0-1 linear formulation. We use Dantzig-Wolfe decomposition and column gen- eration. Finally, we study a branching scheme for solving the master problem by branch-and-price. Computational experiments show the efficiency of our approach on randomly generated instances.