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Crop rotation scheduling with adjacency constraints

Author

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  • Lana dos Santos
  • Philippe Michelon
  • Marcos Arenales
  • Ricardo Santos

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. Copyright Springer Science+Business Media, LLC 2011

Suggested Citation

  • Lana dos Santos & Philippe Michelon & Marcos Arenales & Ricardo Santos, 2011. "Crop rotation scheduling with adjacency constraints," Annals of Operations Research, Springer, vol. 190(1), pages 165-180, October.
    • Handle: RePEc:spr:annopr:v:190:y:2011:i:1:p:165-180:10.1007/s10479-008-0478-z
    DOI: 10.1007/s10479-008-0478-z
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    References listed on IDEAS

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    1. Talaat El-Nazer & Bruce A. McCarl, 1986. "The Choice of Crop Rotation: A Modeling Approach and Case Study," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 68(1), pages 127-136.
    2. Detlefsen, Nina K. & Jensen, Allan Leck, 2007. "Modelling optimal crop sequences using network flows," Agricultural Systems, Elsevier, vol. 94(2), pages 566-572, May.
    3. Dogliotti, S. & Rossing, W. A. H. & van Ittersum, M. K., 2004. "Systematic design and evaluation of crop rotations enhancing soil conservation, soil fertility and farm income: a case study for vegetable farms in South Uruguay," Agricultural Systems, Elsevier, vol. 80(3), pages 277-302, June.
    4. Haneveld, W. K. Klein & Stegeman, A. W., 2005. "Crop succession requirements in agricultural production planning," European Journal of Operational Research, Elsevier, vol. 166(2), pages 406-429, October.
    5. Clarke, Harry R., 1989. "Combinatorial aspects of cropping pattern selection in agriculture," European Journal of Operational Research, Elsevier, vol. 40(1), pages 70-77, May.
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    Citations

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    Cited by:

    1. Angelo Aliano Filho & Helenice Oliveira Florentino & Margarida Vaz Pato & Sônia Cristina Poltroniere & João Fernando Silva Costa, 2022. "Exact and heuristic methods to solve a bi-objective problem of sustainable cultivation," Annals of Operations Research, Springer, vol. 314(2), pages 347-376, July.
    2. Laurent Alfandari & Agnès Plateau & Xavier Schepler, 2014. "A Branch-and-Price-and-Cut approach for Sustainable Crop Rotation Planning," Working Papers hal-00987708, HAL.
    3. Regis Mauri, Geraldo, 2019. "Improved mathematical model and bounds for the crop rotation scheduling problem with adjacency constraints," European Journal of Operational Research, Elsevier, vol. 278(1), pages 120-135.
    4. Víctor M. Albornoz & Marcelo I. Véliz & Rodrigo Ortega & Virna Ortíz-Araya, 2020. "Integrated versus hierarchical approach for zone delineation and crop planning under uncertainty," Annals of Operations Research, Springer, vol. 286(1), pages 617-634, March.
    5. repec:hal:journl:hal-00987708 is not listed on IDEAS
    6. Santos, Lana M.R. & Munari, Pedro & Costa, Alysson M. & Santos, Ricardo H.S., 2015. "A branch-price-and-cut method for the vegetable crop rotation scheduling problem with minimal plot sizes," European Journal of Operational Research, Elsevier, vol. 245(2), pages 581-590.
    7. Víctor M. Albornoz & Gabriel E. Zamora, 2021. "Decomposition-based heuristic for the zoning and crop planning problem with adjacency constraints," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(1), pages 248-265, April.
    8. Alfandari, Laurent & Plateau, Agnès & Scheplerc, Xavier, 2014. "A Branch-and-Price-and-Cut Approach for Sustainable Crop Rotation Planning," ESSEC Working Papers WP1408, ESSEC Research Center, ESSEC Business School.
    9. Alfandari, Laurent & Plateau, Agnès & Schepler, Xavier, 2015. "A branch-and-price-and-cut approach for sustainable crop rotation planning," European Journal of Operational Research, Elsevier, vol. 241(3), pages 872-879.
    10. Aliano Filho, Angelo & A． Oliveira, Washington & Melo, Teresa, 2023. "Multi-objective optimization for integrated sugarcane cultivation and harvesting planning," European Journal of Operational Research, Elsevier, vol. 309(1), pages 330-344.
    11. Jitka JANOVÁ, 2014. "Crop plan optimization under risk on a farm level in the Czech Republic," Agricultural Economics, Czech Academy of Agricultural Sciences, vol. 60(3), pages 123-132.

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