Agric. Econ. - Czech, 2009, 55(10):492-500 | DOI: 10.17221/2601-AGRICECON

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

J. ®gajnar, L. Juvančič, S. Kavčič
Biotechnical Faculty, University of Ljubljana, Biotechnical Faculty, Domľale, Slovenia

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.

Keywords: spreadsheet ration optimization, economics of dairy breeding, linear programming, weighted goal programming with penalty function

Published: October 31, 2009  Show citation

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®gajnar J, Juvančič L, Kavčič S. Combination of linear and weighted goal programming with penalty function in optimisation of a daily dairy cow ration. Agric. Econ. - Czech. 2009;55(10):492-500. doi: 10.17221/2601-AGRICECON.
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    References

    1. Brink C., Kroeze C., Klimont Z. (2001): Ammonia abatement and its impact on emissions of nitrous oxide and methane in Europe - Part 1: method. Atmospheric Environment, 35 (36): 6299-6312. Go to original source...
    2. Castrodeza C., Lara P., Pena T. (2005): Multicriteria fractional model for feed formulation: economic, nutritional and environmental criteria. Agricultural Systems, 86 (1): 76-96. Go to original source...
    3. Ferguson E.L., Darmon N., Fahmida U., Fitriyanti S., Harper T.B., Premachandra I.M. (2006): Design of optimal food-based complementary feeding recommendations and identification of key "Problem Nutrients" using goal programming. The Journal of Nutrition, 136 (9): 2399-2404. Go to original source... Go to PubMed...
    4. Gass S. (1987): The setting of weights in linear goalprogramming problems. Computers and Operations Research, 14 (3): 227-229. Go to original source...
    5. KIS (2007): Model calculations (unpublished). Agricultural institute of Slovenia, Ljubljana.
    6. Lara P. (1993): Multiple objective fractional programming and livestock ration formulation: A case study for dairy cow diets in Spain. Agricultural Systems, 41 (3): 321-334. Go to original source...
    7. Lara P., Romero C. (1994): Relaxation of nutrient requirements on livestock rations through interactive multigoal programming. Agricultural Systems, 45 (4): 443-453. Go to original source...
    8. Rehman T., Romero C. (1984): Multiple-criteria decision-making techniques and their role in livestock ration formulation. Agricultural Systems, 15 (1): 23-49. Go to original source...
    9. Rehman T., Romero C. (1987): Goal Programming with penalty functions and livestock ration formulation. Agricultural Systems, 23 (2): 117-132. Go to original source...
    10. Rehman T., Romero C. (1993): The application of the MCDM paradigm o the management of agricultural systems: Some basic considerations. Agricultural Systems, 41 (2): 239-255. Go to original source...
    11. Romero C., Rehman T. (2003): Multiple criteria analysis for agricultural decisions. 2nd ed. Elsevir, Amsterdam.
    12. Tamiz M., Jones D., Romero C. (1998): Goal programming for decision making: An overview of the current state-of-the-art. European Journal of Operational Research, 111 (6): 569-581. Go to original source...
    13. Waugh F.V. (1951): The minimum-cost dairy feed. Journal of Farm Economics, 33 (3): 299-310. Go to original source...
    14. Zgajnar J., Kermauner A., Kavcic S. (2007): Estimation of ruminants' nutritional requirements and livestock ration optimization (in Slovene). In: Slovensko kmetijstvo in podezelje v Evropi, ki se siri in spreminja. 4. konferenca DAES. Kavcic S. (ed). Ljubljana, Drustvo agrarnih ekonomistov Slovenije, Domzale, pp. 279-288.

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