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The use of iterative linear programming in practical applications of animal diet formulation

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  • Munford, Alan G.

Abstract

This paper considers two nonlinear optimisation problems arising in animal feed formulation, and shows how they can be formulated as an iterative sequence of linear programming problems. The first is concerned with the problem of meeting the nutrient requirements of the dairy cow in the case when nutrient requirements are taken to be a function of the diet fed. The second problem is concerned with formulating batches of animal feed when raw material nutrient content is variable, and it is necessary to meet nutrient requirements with a given probability. It is shown how these problems can be solved using the Ultramix feed formulation and modelling system. Ultramix is species independent system consisting of several integrated modules which include a modeller and an optimiser. Iteration is achieved by linking nutrient specifications to values obtained from the modeller, and by defining suitable stopping rules.

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  • Munford, Alan G., 1996. "The use of iterative linear programming in practical applications of animal diet formulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 42(2), pages 255-261.
    • Handle: RePEc:eee:matcom:v:42:y:1996:i:2:p:255-261
    DOI: 10.1016/0378-4754(95)00115-8
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    References listed on IDEAS

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    1. I. Katzman, 1956. "Solving Feed Problems through Linear Programming," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 38(2), pages 420-429.
    2. Walter D. Fisher & Leonard W. Schruben, 1953. "Linear Programming Applied to Feed-Mixing under Different Price Conditions," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 35(4), pages 471-483.
    3. Munford, Alan G., 1989. "A microcomputer system for formulating animal diets which may involve liquid raw materials," European Journal of Operational Research, Elsevier, vol. 41(3), pages 270-276, August.
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    Cited by:

    1. Cain, Philip & Anwar, Muhammad & Rowlinson, Peter, 2007. "Assessing the critical factors affecting the viability of small-scale dairy farms in the Punjab region of Pakistan to inform agricultural extension programmes," Agricultural Systems, Elsevier, vol. 94(2), pages 320-330, May.
    2. Angadi, U. B. & Anandan, S. & Gowda, N. K. S. & Rajendran, D. & Devi, L. & Elangovan, A. V. & Jash, S., 2016. "“Feed Assist”- An Expert System on Balanced Feeding for Dairy Animals," AGRIS on-line Papers in Economics and Informatics, Czech University of Life Sciences Prague, Faculty of Economics and Management, vol. 8(3), pages 1-10, September.
    3. J. Contreras & H. Lara & G. Nouel-Borges, 2019. "A mixed integer nonlinear programming model for biomass production," Operational Research, Springer, vol. 19(1), pages 39-57, March.
    4. Rosshairy Abd. Rahman & Graham Kendall & Razamin Ramli & Zainoddin Jamari & Ku Ruhana Ku-Mahamud, 2017. "Shrimp Feed Formulation via Evolutionary Algorithm with Power Heuristics for Handling Constraints," Complexity, Hindawi, vol. 2017, pages 1-12, November.

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