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The dynamic programming approach to long term production planning in agriculture

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  • Jitka Janová

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

Abstract

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.

Suggested Citation

  • Jitka Janová, 2011. "The dynamic programming approach to long term production planning in agriculture," Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, Mendel University Press, vol. 59(2), pages 129-136.
    • Handle: RePEc:mup:actaun:actaun_2011059020129
    DOI: 10.11118/actaun201159020129
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    References listed on IDEAS

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    1. Castellazzi, M.S. & Wood, G.A. & Burgess, P.J. & Morris, J. & Conrad, K.F. & Perry, J.N., 2008. "A systematic representation of crop rotations," Agricultural Systems, Elsevier, vol. 97(1-2), pages 26-33, April.
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    Cited by:

    1. Ernst-August Nuppenau, 2018. "Soil Fertility Management by Transition Matrices and Crop Rotation: On Spatial and Dynamic Aspects in Programming of Ecosystem Services," Sustainability, MDPI, vol. 10(7), pages 1-20, June.

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