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Sustainable vegetable crop supply problem

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  • dos Santos, Lana Mara R.
  • Costa, Alysson M.
  • Arenales, Marcos N.
  • Santos, Ricardo Henrique S.

Abstract

We consider an agricultural production problem, in which one must meet a known demand of crops while respecting ecologically-based production constraints. The problem is twofold: in order to meet the demand, one must determine the division of the available heterogeneous arable areas in plots and, for each plot, obtain an appropriate crop rotation schedule. Rotation plans must respect ecologically-based constraints such as the interdiction of certain crop successions, and the regular insertion of fallows and green manures. We propose a linear formulation for this problem, in which each variable is associated with a crop rotation schedule. The model may include a large number of variables and it is, therefore, solved by means of a column-generation approach. We also discuss some extensions to the model, in order to incorporate additional characteristics found in field conditions. A set of computational tests using instances based on real-world data confirms the efficacy of the proposed methodology.

Suggested Citation

  • dos Santos, Lana Mara R. & Costa, Alysson M. & Arenales, Marcos N. & Santos, Ricardo Henrique S., 2010. "Sustainable vegetable crop supply problem," European Journal of Operational Research, Elsevier, vol. 204(3), pages 639-647, August.
    • Handle: RePEc:eee:ejores:v:204:y:2010:i:3:p:639-647
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    References listed on IDEAS

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    Cited by:

    1. Laurent Alfandari & Agnès Plateau & Xavier Schepler, 2014. "A Branch-and-Price-and-Cut approach for Sustainable Crop Rotation Planning," Working Papers hal-00987708, HAL.
    2. 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.
    3. Borodin, Valeria & Bourtembourg, Jean & Hnaien, Faicel & Labadie, Nacima, 2015. "A multi-step rolled forward chance-constrained model and a proactive dynamic approach for the wheat crop quality control problem," European Journal of Operational Research, Elsevier, vol. 246(2), pages 631-640.
    4. 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.
    5. 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.
    6. 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.
    7. Bo Yan & Xiaoxu Chen & Qin Yuan & Xiaotai Zhou, 2020. "Sustainability in fresh agricultural product supply chain based on radio frequency identification under an emergency," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 28(4), pages 1343-1361, December.
    8. 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.
    9. Carravilla, M. A. & Oliveira, J. F., 2013. "Operations Research in Agriculture: Better Decisions for a Scarce and Uncertain World," AGRIS on-line Papers in Economics and Informatics, Czech University of Life Sciences Prague, Faculty of Economics and Management, vol. 5(2), pages 1-10, June.
    10. Alysson Costa & Lana Santos & Douglas Alem & Ricardo Santos, 2014. "Sustainable vegetable crop supply problem with perishable stocks," Annals of Operations Research, Springer, vol. 219(1), pages 265-283, August.
    11. 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.
    12. repec:hal:journl:hal-00987708 is not listed on IDEAS
    13. 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.
    14. Mariana Escallón-Barrios & Daniel Castillo-Gomez & Jorge Leal & Carlos Montenegro & Andrés L. Medaglia, 2022. "Improving harvesting operations in an oil palm plantation," Annals of Operations Research, Springer, vol. 314(2), pages 411-449, July.
    15. Sushil Gupta & Hossein Rikhtehgar Berenji & Manish Shukla & Nagesh N. Murthy, 2023. "Opportunities in farming research from an operations management perspective," Production and Operations Management, Production and Operations Management Society, vol. 32(6), pages 1577-1596, June.
    16. Ridier, Aude & Chaib, Karim & Roussy, Caroline, 2016. "A Dynamic Stochastic Programming model of crop rotation choice to test the adoption of long rotation under price and production risks," European Journal of Operational Research, Elsevier, vol. 252(1), pages 270-279.
    17. Ana Esteso & M. M. E. Alemany & Angel Ortiz & Shaofeng Liu, 2022. "Optimization model to support sustainable crop planning for reducing unfairness among farmers," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 30(3), pages 1101-1127, September.
    18. Gunasekaran, Angappa & Ngai, Eric W.T., 2012. "The future of operations management: An outlook and analysis," International Journal of Production Economics, Elsevier, vol. 135(2), pages 687-701.
    19. Salvatore Ammirato & Alberto Michele Felicetti & Massimiliano Ferrara & Cinzia Raso & Antonio Violi, 2021. "Collaborative Organization Models for Sustainable Development in the Agri-Food Sector," Sustainability, MDPI, vol. 13(4), pages 1-22, February.

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