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A linear programming formulation of a semi-Markov model to design pig facilities

Author

Listed:
  • L M Plà

    (University of Lleida)

  • J Faulín

    (Public University of Navarre)

  • S V Rodríguez

    (University of Lleida)

Abstract

Housing facilities design represents the main strategic decision in pig farms. This paper introduces a linear programming formulation of a semi-Markov process to approach the facilities design. Thus, the Linear Programming formulation determines the optimum replacement policy and provides the equilibrium distribution of the herd along pig facilities. Then, the calculation of the associated needs of room for each sow facility is derived from sow herd distribution at equilibrium. Results show the flexibility of the model for designing pig facilities and computational advantages in the solving procedure compared to previous proposals. Furthermore, the robustness of the optimal solution is studied by means of sensitivity analysis.

Suggested Citation

  • L M Plà & J Faulín & S V Rodríguez, 2009. "A linear programming formulation of a semi-Markov model to design pig facilities," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(5), pages 619-625, May.
    • Handle: RePEc:pal:jorsoc:v:60:y:2009:i:5:d:10.1057_palgrave.jors.2602599
    DOI: 10.1057/palgrave.jors.2602599
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    References listed on IDEAS

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    1. Jean-Paul Chavas & James Kliebenstein & Thomas D. Crenshaw, 1985. "Modeling Dynamic Agricultural Production Response: The Case of Swine Production," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 67(3), pages 636-646.
    2. Huirne, R. B. M. & Dijkhuizen, A. A. & van Beek, P. & Hendriks, Th. H. B., 1993. "Stochastic dynamic programming to support sow replacement decisions," European Journal of Operational Research, Elsevier, vol. 67(2), pages 161-171, June.
    3. Jalvingh, A. W. & Dijkhuizen, A. A. & van Arendonk, J. A. M., 1992. "Dynamic probabilistic modelling of reproduction and replacement management in sow herds. General aspects and model description," Agricultural Systems, Elsevier, vol. 39(2), pages 133-152.
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    Cited by:

    1. Sara Rodríguez & Lluis Plà & Javier Faulin, 2014. "New opportunities in operations research to improve pork supply chain efficiency," Annals of Operations Research, Springer, vol. 219(1), pages 5-23, August.
    2. Ludvík Friebel & Jana Friebelová & Naděžda Kernerová, 2016. "Stochastic Analysis of Profitability of the Pig Breeding Process," Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, Mendel University Press, vol. 64(1), pages 255-264.

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