Multi-step beef ration optimisation: application of linear and weighted goal programming with a penalty function
Zgajnar, Jaka; Erjavec, Emil; Kavcic, Stane (2010)
MTT Agrifood Research Finland The Scientific Agricultural Society of Finland
Julkaisun pysyvä osoite on
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 ration s nutritive value or affecting the balance between nutrients.