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Crop rotation scheduling with adjacency constraints
Authors:Lana Mara Rodrigues dos Santos  Philippe Michelon  Marcos Nereu Arenales  Ricardo Henrique Silva Santos
Institution:(1) World Agroforestry Centre, P. O. Box 26416, Kampala, Uganda;(2) World Agroforestry Centre, P. O. Box 30677, Nairobi, Kenya;(3) Centre for Ecology and Hydrology, Bush Estate, Penicuik, EH26 0QB, UK;(4) Plant and Crop Sciences Division, University of Nottingham, Sutton Bonington Campus, Nottingham, LE12 5RD, UK;
Abstract:In this article we propose a 0-1 optimization model to determine a crop rotation schedule for each plot in a cropping area. The rotations have the same duration in all the plots and the crops are selected to maximize plot occupation. The crops may have different production times and planting dates. The problem includes planting constraints for adjacent plots and also for sequences of crops in the rotations. Moreover, cultivating crops for green manuring and fallow periods are scheduled into each plot. As the model has, in general, a great number of constraints and variables, we propose a heuristics based on column generation. To evaluate the performance of the model and the method, computational experiments using real-world data were performed. The solutions obtained indicate that the method generates good results.
Keywords:
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