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Weighted Goal Programming and Penalty Functions: Whole-farm Planning Approach Under Risk

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  • Zgajnar, Jaka
  • Kavcic, Stane

Abstract

The paper presents multiple criteria approach to deal with risk in farmer’s decisions. Decision making process is organised in a framework of spreadsheet tool. It is supported by deterministic and stochastic mathematical programming techniques applying optimisation concept. Decision making process is conceptually divided into seven autonomous modules that are mutually linked up. Beside the common maximisation of expected income through linear programming it enables also reconstruction of current production practice. Income risk modelling is based on portfolio theory resting on expected value, variance (E,V) paradigm. Modules dealing with risk are therefore supported with quadratic and constrained quadratic programming. Non-parametric approach is utilised to estimate decision maker’s risk attitude. It is measured with coefficient of risk aversion, needed to maximise certainty equivalent for analysed farms. Multiple criteria paradigm is based on goal programming approach. In contribution focus is put on benefits and possible drawbacks of supporting weighted goal programming with penalty functions. Application of the tool is illustrated with three dairy farm cases. Obtained results confirm advantage of utilizing penalty function system. Beside greater positiveness it proves as useful approach for fine tuning of the model enabling imitation of farmer’s behaviour, which is due to his/her conservative nature not perfect or rational. Results confirm hypothesis that single criteria decision making, based on maximisation of expected income, might be biased and does not necessary lead to the best - achievable option for analysed farm.

Suggested Citation

  • Zgajnar, Jaka & Kavcic, Stane, 2011. "Weighted Goal Programming and Penalty Functions: Whole-farm Planning Approach Under Risk," 2011 International Congress, August 30-September 2, 2011, Zurich, Switzerland 118033, European Association of Agricultural Economists.
    • Handle: RePEc:ags:eaae11:118033
    DOI: 10.22004/ag.econ.118033
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    References listed on IDEAS

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    1. Rehman, Tahir & Romero, Carlos, 1984. "Multiple-criteria decision-making techniques and their role in livestock ration formulation," Agricultural Systems, Elsevier, vol. 15(1), pages 23-49.
    2. Rania Azmi & Mehrdad Tamiz, 2010. "A Review of Goal Programming for Portfolio Selection," Lecture Notes in Economics and Mathematical Systems, in: Dylan Jones & Mehrdad Tamiz & Jana Ries (ed.), New Developments in Multiple Objective and Goal Programming, pages 15-33, Springer.
    3. Aouni, Belaid & Kettani, Ossama, 2001. "Goal programming model: A glorious history and a promising future," European Journal of Operational Research, Elsevier, vol. 133(2), pages 225-231, January.
    4. Lien, Gudbrand, 2002. "Non-parametric estimation of decision makers' risk aversion," Agricultural Economics, Blackwell, vol. 27(1), pages 75-83, May.
    5. Rehman, Tahir & Romero, Carlos, 1987. "Goal programming with penalty functions and livestock ration formulation," Agricultural Systems, Elsevier, vol. 23(2), pages 117-132.
    6. Meyer, Donald J. & Meyer, Jack, 2006. "Measuring Risk Aversion," Foundations and Trends(R) in Microeconomics, now publishers, vol. 2(2), pages 107-203, September.
    7. Tamiz, Mehrdad & Jones, Dylan & Romero, Carlos, 1998. "Goal programming for decision making: An overview of the current state-of-the-art," European Journal of Operational Research, Elsevier, vol. 111(3), pages 569-581, December.
    8. Ruud Huirne & Miranda Meuwissen & Marcel Asseldonk, 2007. "Importance of Whole-Farm Risk Management in Agriculture," International Series in Operations Research & Management Science, in: Andres Weintraub & Carlos Romero & Trond Bjørndal & Rafael Epstein & Jaime Miranda (ed.), Handbook Of Operations Research In Natural Resources, chapter 0, pages 3-15, Springer.
    9. Lara, Pablo, 1993. "Multiple objective fractional programming and livestock ration formulation: A case study for dairy cow diets in Spain," Agricultural Systems, Elsevier, vol. 41(3), pages 321-334.
    10. Chang, Ching-Ter & Lin, Teng-Chiao, 2009. "Interval goal programming for S-shaped penalty function," European Journal of Operational Research, Elsevier, vol. 199(1), pages 9-20, November.
    11. Dylan Jones & Mehrdad Tamiz, 2010. "Practical Goal Programming," International Series in Operations Research and Management Science, Springer, edition 1, number 978-1-4419-5771-9, April.
    12. Schaft, Franziska & Balmann, Alfons (ed.), 2009. "Multi-level processes of integration and disintegration. Proceedings of the Third Green Week Scientific Conference," Studies on the Agricultural and Food Sector in Transition Economies, Leibniz Institute of Agricultural Development in Transition Economies (IAMO), volume 52, number 92312.
    13. Romero, Carlos, 2004. "A general structure of achievement function for a goal programming model," European Journal of Operational Research, Elsevier, vol. 153(3), pages 675-686, March.
    14. Gomez-Limon, Jose A. & Arriaza, Manuel & Riesgo, Laura, 2003. "An MCDM analysis of agricultural risk aversion," European Journal of Operational Research, Elsevier, vol. 151(3), pages 569-585, December.
    15. Steuer, Ralph E. & Na, Paul, 2003. "Multiple criteria decision making combined with finance: A categorized bibliographic study," European Journal of Operational Research, Elsevier, vol. 150(3), pages 496-515, November.
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    Risk and Uncertainty;

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