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An improved algorithm for solving profit-maximizing cattle diet problems

Published online by Cambridge University Press:  23 June 2020

J. G. O. Marques Open the ORCID record for J. G. O. Marques [Opens in a new window] ,
R. de O. Silva Open the ORCID record for R. de O. Silva [Opens in a new window] ,
L. G. Barioni Open the ORCID record for L. G. Barioni [Opens in a new window] ,
J. A. J. Hall Open the ORCID record for J. A. J. Hall [Opens in a new window] ,
L. O. Tedeschi Open the ORCID record for L. O. Tedeschi [Opens in a new window]  and
D. Moran Open the ORCID record for D. Moran [Opens in a new window]
J. G. O. Marques*
Affiliation:
Global Academy of Agriculture and Food Security, The University of Edinburgh, Edinburgh EH25 9RG, UK
R. de O. Silva
Affiliation:
Global Academy of Agriculture and Food Security, The University of Edinburgh, Edinburgh EH25 9RG, UK
L. G. Barioni
Affiliation:
Embrapa Agricultural Informatics, Campinas 13083-886, Brazil
J. A. J. Hall
Affiliation:
School of Mathematics, The University of Edinburgh, Edinburgh EH9 3FD, UK
L. O. Tedeschi
Affiliation:
Department of Animal Science, Texas A&M University, College Station, TX 77843-2371, USA
D. Moran
Affiliation:
Global Academy of Agriculture and Food Security, The University of Edinburgh, Edinburgh EH25 9RG, UK
*
†E-mail: j.g.o.marques@sms.ed.ac.uk
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Abstract

Feeding cattle with on-pasture supplementation or feedlot diets can increase animal efficiency and system profitability while minimizing environmental impacts. However, cattle system profit margins are relatively small and nutrient supply accounts for most of the costs. This paper introduces a nonlinear profit-maximizing diet formulation problem for beef cattle based on well-established predictive equations. Nonlinearity in predictive equations for nutrient requirements poses methodological challenges in the application of optimization techniques. In contrast to other widely used diet formulation methods, we develop a mathematical model that guarantees an exact solution for maximum profit diet formulations. Our method can efficiently solve an often-impractical nonlinear problem by solving a finite number of linear problems, that is, linear time complexity is achieved through parametric linear programming. Results show the impacts of choosing different objective functions (minimizing cost, maximizing profit and maximizing profit per daily weight gain) and how this may lead to different optimal solutions. In targeting improved ration formulation on feedlot systems, this paper demonstrates how profitability and nutritional constraints can be met as an important part of a sustainable intensification production strategy.

Keywords

linear programmingnonlinear programmingration formulationoptimizationfeedlot
Type
Research Article
Information
animal , Volume 14 , Issue S2: 9th Workshop on Modelling Nutrient Digestion and Utilization in Farm Animals (MODNUT) , August 2020 , pp. s257 - s266
Copyright
© The Author(s), 2020. Published by Cambridge University Press on behalf of The Animal Consortium

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