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Combination of linear and weighted goal programming with penalty function in optimisation of a daily dairy cow ration

Author

Listed:
  • J. Žgajnar

    (Biotechnical Faculty, University of Ljubljana, Biotechnical Faculty, Domžale, Slovenia)

  • L. Juvančič

    (Biotechnical Faculty, University of Ljubljana, Biotechnical Faculty, Domžale, Slovenia)

  • S. Kavčič

    (Biotechnical Faculty, University of Ljubljana, Biotechnical Faculty, Domžale, Slovenia)

Abstract

The aim of the paper is to present a developed spreadsheet tool for the formulation of a daily dairy cow ration. It is constructed on the basis of two linked sub-models developed on the MS Excel platform. It merges the common linear programming model and the weighted-goal programming model with a penalty function. The first sub-model is included in the tool to make an estimate of the least-cost magnitude that might be expected. The obtained result is entered into the second sub-model as the goal that should be met as closely as possible. The tool was tested at two different values of preferential weights for dairy cows with a 25 kg daily milk yield. The results obtained confirm the benefits of the applied approach. In contrast to the common linear program tools, which terminate at formulation of the least-cost ration, our tool provides more efficient rations (in both economic and nutritive terms) by fine-tuning the nutritive goals and by allowing for harmless deviations from these goals by application of penalty functions.

Suggested Citation

  • J. Žgajnar & L. Juvančič & S. Kavčič, 2009. "Combination of linear and weighted goal programming with penalty function in optimisation of a daily dairy cow ration," Agricultural Economics, Czech Academy of Agricultural Sciences, vol. 55(10), pages 492-500.
    • Handle: RePEc:caa:jnlage:v:55:y:2009:i:10:id:2601-agricecon
    DOI: 10.17221/2601-AGRICECON
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    References listed on IDEAS

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