Combination of linear and weighted goal programming with penalty function in optimisation of a daily dairy cow ration
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 pe...
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| Format: | Article |
| Language: | English |
| Published: |
Czech Academy of Agricultural Sciences
2009-10-01
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| Series: | Agricultural Economics (AGRICECON) |
| Subjects: | |
| Online Access: | https://agricecon.agriculturejournals.cz/artkey/age-200910-0004_combination-of-linear-and-weighted-goal-programming-with-penalty-function-in-optimisation-of-a-daily-dairy-cow.php |
| _version_ | 1797900111033925632 |
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| author | J. Žgajnar L. Juvančič S. Kavčič |
| author_facet | J. Žgajnar L. Juvančič S. Kavčič |
| author_sort | J. Žgajnar |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-10T08:40:56Z |
| format | Article |
| id | doaj.art-ec6433eb6af6411f8c9fd25d558864bb |
| institution | Directory Open Access Journal |
| issn | 0139-570X 1805-9295 |
| language | English |
| last_indexed | 2024-04-10T08:40:56Z |
| publishDate | 2009-10-01 |
| publisher | Czech Academy of Agricultural Sciences |
| record_format | Article |
| series | Agricultural Economics (AGRICECON) |
| spelling | doaj.art-ec6433eb6af6411f8c9fd25d558864bb2023-02-23T03:23:33ZengCzech Academy of Agricultural SciencesAgricultural Economics (AGRICECON)0139-570X1805-92952009-10-01551049250010.17221/2601-AGRICECONage-200910-0004Combination of linear and weighted goal programming with penalty function in optimisation of a daily dairy cow rationJ. Žgajnar0L. Juvančič1S. Kavčič2Biotechnical Faculty, University of Ljubljana, Biotechnical Faculty, Domžale, SloveniaBiotechnical Faculty, University of Ljubljana, Biotechnical Faculty, Domžale, SloveniaBiotechnical Faculty, University of Ljubljana, Biotechnical Faculty, Domžale, SloveniaThe 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.https://agricecon.agriculturejournals.cz/artkey/age-200910-0004_combination-of-linear-and-weighted-goal-programming-with-penalty-function-in-optimisation-of-a-daily-dairy-cow.phpspreadsheet ration optimizationeconomics of dairy breedinglinear programmingweighted goal programming with penalty function |
| spellingShingle | J. Žgajnar L. Juvančič S. Kavčič Combination of linear and weighted goal programming with penalty function in optimisation of a daily dairy cow ration Agricultural Economics (AGRICECON) spreadsheet ration optimization economics of dairy breeding linear programming weighted goal programming with penalty function |
| title | Combination of linear and weighted goal programming with penalty function in optimisation of a daily dairy cow ration |
| title_full | Combination of linear and weighted goal programming with penalty function in optimisation of a daily dairy cow ration |
| title_fullStr | Combination of linear and weighted goal programming with penalty function in optimisation of a daily dairy cow ration |
| title_full_unstemmed | Combination of linear and weighted goal programming with penalty function in optimisation of a daily dairy cow ration |
| title_short | Combination of linear and weighted goal programming with penalty function in optimisation of a daily dairy cow ration |
| title_sort | combination of linear and weighted goal programming with penalty function in optimisation of a daily dairy cow ration |
| topic | spreadsheet ration optimization economics of dairy breeding linear programming weighted goal programming with penalty function |
| url | https://agricecon.agriculturejournals.cz/artkey/age-200910-0004_combination-of-linear-and-weighted-goal-programming-with-penalty-function-in-optimisation-of-a-daily-dairy-cow.php |
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