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A MIP flow model for crop-rotation planning in a context of forest sustainable development

Author

Listed:
  • L. Alfandari
  • J. Lemalade
  • A. Nagih
  • G. Plateau

Abstract

We propose a Mixed-Integer Linear Programming model for a class of multi-period crop rotation optimization problems with demand constraints and incompatibility constraints between cultivation and fallow state on a land plot. This model is applied to a case study on Madagascan farms in the scope of a sustainable development campain against deforestation, where the objective is to better control agricultural space while covering seasonal needs of farmer. We propose an efficient upper bound computation and study the variation of the minimum number of plots and total space needed in function of the unitary surface area of a plot. Numerical results associated with the Madagascan case are reported. Copyright Springer Science+Business Media, LLC 2011

Suggested Citation

  • L. Alfandari & J. Lemalade & A. Nagih & G. Plateau, 2011. "A MIP flow model for crop-rotation planning in a context of forest sustainable development," Annals of Operations Research, Springer, vol. 190(1), pages 149-164, October.
    • Handle: RePEc:spr:annopr:v:190:y:2011:i:1:p:149-164:10.1007/s10479-009-0553-0
    DOI: 10.1007/s10479-009-0553-0
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    References listed on IDEAS

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    1. Detlefsen, Nina K. & Jensen, Allan Leck, 2007. "Modelling optimal crop sequences using network flows," Agricultural Systems, Elsevier, vol. 94(2), pages 566-572, May.
    2. 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.
    3. 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.
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    1. Pontes, Roberto Da Silva Gervasio & Brandão, Diego Nunes & Usberti, Fábio Luiz & De Assis, Laura Silva, 2024. "Multi-objective models for crop rotation planning problems," Agricultural Systems, Elsevier, vol. 219(C).
    2. Rapeepan Pitakaso & Kanchana Sethanan & Kim Hua Tan & Ajay Kumar, 2024. "A decision support system based on an artificial multiple intelligence system for vegetable crop land allocation problem," Annals of Operations Research, Springer, vol. 342(1), pages 621-656, November.
    3. Shivam Gupta & Sachin Modgil & Samadrita Bhattacharyya & Indranil Bose, 2022. "Artificial intelligence for decision support systems in the field of operations research: review and future scope of research," Annals of Operations Research, Springer, vol. 308(1), pages 215-274, January.
    4. Laurent Alfandari & Agnès Plateau & Xavier Schepler, 2014. "A Branch-and-Price-and-Cut approach for Sustainable Crop Rotation Planning," Working Papers hal-00987708, HAL.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. repec:hal:journl:hal-00987708 is not listed on IDEAS
    10. 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.
    11. Vassiliki Kazana & Angelos Kazaklis & Dimitrios Raptis & Christos Stamatiou, 2020. "A combined multi-criteria approach to assess forest management sustainability: an application to the forests of Eastern Macedonia & Thrace Region in Greece," Annals of Operations Research, Springer, vol. 294(1), pages 321-343, November.
    12. 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.

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