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...

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Main Authors: J. ZGAJNAR, E. ERJAVEC, S. KAVCIC
Format: Article
Language:English
Published: Scientific Agricultural Society of Finland 2008-12-01
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.;
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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
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AT eerjavec multistepbeefrationoptimisationapplicationoflinearandweightedgoalprogrammingwithapenaltyfunction
AT skavcic multistepbeefrationoptimisationapplicationoflinearandweightedgoalprogrammingwithapenaltyfunction