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A Survey of Markov Decision Programming Techniques Applied to the Animal Replacement Problem

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  • Kristensen, Anders Ringgaard

Abstract

The major difficulties of the animal replacement problem are identified as uniformity, herd restraints and the "curse of dimensionality". Approaches for circumventing these difficulties using Markov decision programming methods are systematically discussed, and possible optimisation techniques are described and evaluated. Assuming that the objective of the farmer is maximum net returns from the entire herd, relevant criteria of optimality are discussed. It is concluded that a Bayesian technique is a promising approach as concerns the uniformity problem, that parameter iteration may be used under herd restraints, and that hierarchic Markov processes have contributed to the solution of the dimensionality problem. Copyright 1994 by Oxford University Press.

Suggested Citation

  • Kristensen, Anders Ringgaard, 1994. "A Survey of Markov Decision Programming Techniques Applied to the Animal Replacement Problem," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 21(1), pages 73-93.
    • Handle: RePEc:oup:erevae:v:21:y:1994:i:1:p:73-93
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    Cited by:

    1. Andrés Weintraub & Carlos Romero, 2006. "Operations Research Models and the Management of Agricultural and Forestry Resources: A Review and Comparison," Interfaces, INFORMS, vol. 36(5), pages 446-457, October.
    2. Viviana Fernández, 2002. "What Drives Replacement of Durable Goods at the Micro Level?," Documentos de Trabajo 122, Centro de Economía Aplicada, Universidad de Chile.
    3. Yates, C. M. & Rehman, T. & Chamberlain, A. T., 1996. "Evaluation of the potential effects of embryo transfer on milk production on commercial dairy herds: The development of a markov chain model," Agricultural Systems, Elsevier, vol. 50(1), pages 65-79.
    4. Yates, C.M. & Rehman, T., 1998. "A linear programming formulation of the Markovian decision process approach to modelling the dairy replacement problem," Agricultural Systems, Elsevier, vol. 58(2), pages 185-201, October.
    5. Hegrenes, Agnar & Kristensen, Anders Ringgaard & Lien, Gudbrand D., 2003. "Optimal Economic Length Of Leys: A Dynamic Programming Approach," 2003 Annual Meeting, August 16-22, 2003, Durban, South Africa 25848, International Association of Agricultural Economists.
    6. Susana MEJIA & Andres Ramirez HASSAN, 2016. "Determining the optimal selling time of cattle: A stochastic dynamic programming approach," Agricultural Economics, Czech Academy of Agricultural Sciences, vol. 62(11), pages 517-527.

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