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[PAS13a] A Branch-and-Price Algorithm for Sustainable Crop Rotation PlanningConférence Internationale avec comité de lecture : EURO-INFORMS - Rome 2013, July 2013, pp.44, Italie,Mots clés: OR in agriculture, Production planning, Integer programming, branch-and-price
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.
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