Acta Univ. Agric. Silvic. Mendelianae Brun. 2011, 59(2), 129-136 | DOI: 10.11118/actaun201159020129

The dynamic programming approach to long term production planning in agriculture

Jitka Janová
Ústav statistiky a operačního výzkumu, Mendelova univerzita v Brně, Zemědělská 1, 613 00 Brno, Česká republika

The production planning in agriculture is one of the most important decision problems of the farmer. Although some decision support tools based mainly on linear programming and addressed to agriculture authorities were presented, their direct application by a farmer is not possible. This is mainly due to the local character of the models developed for particular agricultural conditions and also due to the complexness of underlying mathematical programming models.
This paper aims to develop dynamic programming model for the long run crop plan optimization covering the typical conditions of Czech farms, which could serve as a platform for further enlargements and changes according to needs and conditions of particular farm. The dynamic programming algorithm is developed in detail for model case of four areas to be planted by four crops each year. The possibility of covering different constraints by generating the state space is discussed, and the generating procedure for crop rotation rules is shown. The goal function reflects the farmers objective of profit maximization and it is defined with respect to harvests' randomness. The case study is solved for the data from South Moravian agriculture cooperative and the optimal solution is presented and discussed.

Keywords: production planning, MATLAB algorithm, crop rotation, dynamic programming
Grants and funding:

This work was supported by the grant MSM6215648904 of Czech Ministry of Education, Youth and Sport of Czech Republic.

Received: December 17, 2010; Published: July 7, 2014  Show citation

ACS AIP APA ASA Harvard Chicago IEEE ISO690 MLA NLM Turabian Vancouver
Janová, J. (2011). The dynamic programming approach to long term production planning in agriculture. Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, 59(2), 129-136. doi: 10.11118/actaun201159020129
Share...
Download citation
  • BibTeX (.bib)
  • Bookends (.ris)
  • EasyBib (.ris)
  • EndNote (.enw)
  • EndNote 8 (.xml)
  • ISI WoS (.isi)
  • Medlars (.medlars)
  • Mendeley (.ris)
  • MODS (.xml)
  • Papers (.ris)
  • RefWorks (.txt)
  • RefManager (.ris)
  • RIS (.ris)
  • MS Word (.xml)
  • Zotero (.ris)
    • Open full article

    References

    1. BELLMAN, R., 1957: Dynamic programming. The Princeton University Press, Princeton, NJ.
    2. BOND, C. A., FARZIN,Y. H., 2008: Agroecosystem modeling and optimal economic decisions: Implications for sustainable agriculture, Optimal Control Applications and Methods, 29, pp. 59-80. DOI: 10.1002/oca.817 Go to original source...
    3. CASTELLAZZI, M. S. et al., 2008: A systematic representations of crop rotations. Agricultural Systems, 97, pp. 26-33. DOI: 10.1016/j.agsy.2007.10.006 Go to original source...
    4. CHIKUMBO, O., MAREELS, I. M. Y., 2003: Predicting terminal time and final crop number for o forest plantation stand: Pontryagin's Maximum Principle in Ecosystems and sustainable development IV, pp. 1227-1235.
    5. DENARDO, E. V., 2003: Dynamic programming, Models and applications, Dover publications, New York.
    6. DUFFY, P. A., TAYLOR, C. A., 1992: Long-Term Planning on a Corn-Soybean Farm: A Dynamic Programming Analysis, Abriculrural Systems, 42, pp. 57-71. Go to original source...
    7. FREUND, P. J., 1956: The introduction of risk into a programming mode. Econometrica, 24, pp. 253-263. DOI: 10.2307/1911630 Go to original source...
    8. JANOVÁ, J., 2010: Optimization models in agriculture and natural resources: the validation and verification process, in Mathematical methods in economics, 2010, University of South Bohemia, České Budějovice.
    9. JANOVÁ, J., AMBROŽOVÁ, P., 2009: Optimization of production planning in Czech agricultural co-operative via linear programming. Acta univ. agric. et silvic. Mendel. Brun., 57 (6), pp. 99-104. DOI: 10.11118/actaun200957060099 Go to original source...
    10. KLEIN HANEVELD, W. K., STEGEMAN, A. W., 2004: Crop succession requirements in agricultural production planning, European journal of operational research, 166, pp. 406-429. DOI: 10.1016/j.ejor.2004.03.009 Go to original source...
    11. PARSONS, D. J. et al., 2009: Weed Manager - A model based decision support system for weed management in arable crops, Computers and electronics in agriculture, 65, pp. 155-167. DOI: 10.1016/j.compag.2008.08.007 Go to original source...
    12. SEPPELT, R., VOINOV, A., 2002: Optimization methodology for land use patterns using spatially explicit landscape models, Ecological modelling, 151, pp. 125-142. DOI: 10.1016/S0304-3800(01)00455-0 Go to original source...
    13. SEPPELT, R., 1999: Applications of optimum control theory to agroecosystem modelling, Ecological Modelling, 121, pp. 161-183. DOI: 10.1016/S0304-3800(99)00082-4 Go to original source...

    This is an open access article distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY NC ND 4.0), which permits non-comercial use, distribution, and reproduction in any medium, provided the original publication is properly cited. No use, distribution or reproduction is permitted which does not comply with these terms.


    Return to the content