Multi-step beef ration optimisation: application of linear and weighted goal programming with a penalty function

Authors

  • J. ZGAJNAR
  • E. ERJAVEC
  • S. KAVCIC

Abstract

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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Section
Articles

Published

2010-01-03

How to Cite

ZGAJNAR, J., ERJAVEC, E., & KAVCIC, S. (2010). Multi-step beef ration optimisation: application of linear and weighted goal programming with a penalty function. Agricultural and Food Science, 19(3), 193–206. https://doi.org/10.2137/145960610792912611