Multi-step beef ration optimisation: application of linear and weighted goal programming with a penalty function
The aim of this paper is to present the method and tool for optimisation of beef-fattening diets. Changes in policy environment and changes in costs of feed pose challenges for farm efficiency. We construct a spreadsheet from two modules based on mathematical deterministic programming techniques. In...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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Scientific Agricultural Society of Finland
2008-12-01
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Series: | Agricultural and Food Science |
Online Access: | https://journal.fi/afs/article/view/5986 |
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author | J. ZGAJNAR E. ERJAVEC S. KAVCIC |
author_facet | J. ZGAJNAR E. ERJAVEC S. KAVCIC |
author_sort | J. ZGAJNAR |
collection | DOAJ |
description | The aim of this paper is to present the method and tool for optimisation of beef-fattening diets. Changes in policy environment and changes in costs of feed pose challenges for farm efficiency. We construct a spreadsheet from two modules based on mathematical deterministic programming techniques. In order to obtain an estimate of the magnitude of costs that may be incurred, the first module utilizes a linear program for least-cost ration formulation. The resulting value is then targeted as a cost goal in the second module. This is supported by weighted goal programming with a penalty function system. The approach presented here is an example of how a combination of mathematical programming techniques might be applied to prepare a user-friendly tool for optimal ration formulations. We report results that confirm this approach as useful, since one is able to formulate a least-cost ration without risking a decrease in the rations nutritive value or affecting the balance between nutrients.; |
first_indexed | 2024-12-12T06:25:22Z |
format | Article |
id | doaj.art-70aaced9e5fa49d5b00a9d76ff009f22 |
institution | Directory Open Access Journal |
issn | 1459-6067 1795-1895 |
language | English |
last_indexed | 2024-12-12T06:25:22Z |
publishDate | 2008-12-01 |
publisher | Scientific Agricultural Society of Finland |
record_format | Article |
series | Agricultural and Food Science |
spelling | doaj.art-70aaced9e5fa49d5b00a9d76ff009f222022-12-22T00:34:47ZengScientific Agricultural Society of FinlandAgricultural and Food Science1459-60671795-18952008-12-01193Multi-step beef ration optimisation: application of linear and weighted goal programming with a penalty functionJ. ZGAJNARE. ERJAVECS. KAVCICThe aim of this paper is to present the method and tool for optimisation of beef-fattening diets. Changes in policy environment and changes in costs of feed pose challenges for farm efficiency. We construct a spreadsheet from two modules based on mathematical deterministic programming techniques. In order to obtain an estimate of the magnitude of costs that may be incurred, the first module utilizes a linear program for least-cost ration formulation. The resulting value is then targeted as a cost goal in the second module. This is supported by weighted goal programming with a penalty function system. The approach presented here is an example of how a combination of mathematical programming techniques might be applied to prepare a user-friendly tool for optimal ration formulations. We report results that confirm this approach as useful, since one is able to formulate a least-cost ration without risking a decrease in the rations nutritive value or affecting the balance between nutrients.;https://journal.fi/afs/article/view/5986 |
spellingShingle | J. ZGAJNAR E. ERJAVEC S. KAVCIC Multi-step beef ration optimisation: application of linear and weighted goal programming with a penalty function Agricultural and Food Science |
title | Multi-step beef ration optimisation: application of linear and weighted goal programming with a penalty function |
title_full | Multi-step beef ration optimisation: application of linear and weighted goal programming with a penalty function |
title_fullStr | Multi-step beef ration optimisation: application of linear and weighted goal programming with a penalty function |
title_full_unstemmed | Multi-step beef ration optimisation: application of linear and weighted goal programming with a penalty function |
title_short | Multi-step beef ration optimisation: application of linear and weighted goal programming with a penalty function |
title_sort | multi step beef ration optimisation application of linear and weighted goal programming with a penalty function |
url | https://journal.fi/afs/article/view/5986 |
work_keys_str_mv | AT jzgajnar multistepbeefrationoptimisationapplicationoflinearandweightedgoalprogrammingwithapenaltyfunction AT eerjavec multistepbeefrationoptimisationapplicationoflinearandweightedgoalprogrammingwithapenaltyfunction AT skavcic multistepbeefrationoptimisationapplicationoflinearandweightedgoalprogrammingwithapenaltyfunction |