IDEAS home Printed from https://ideas.repec.org/a/ags/ajaeau/22495.html
   My bibliography  Save this article

An Alternative Solution To Linear Programming Problems With Stochastic Input-Output Coefficients

Author

Listed:
  • Wicks, John A.
  • Guise, John W.B.

Abstract

Deriving acceptable farm plans where input-output coefficients are stochastic is a complex problem. Previous formulations have required many simplifying assumptions about the stochastic variables in the analysis. This paper presents an alternative approach based on the mean absolute deviation, which permits solution by a conventional linear programming algorithm whilst avoiding some of those assumptions previously required. The formulation also incorporates a stochastic objective function. Examples are provided using the situation of stochastic feed supply with reference to representative sheep-grain farms on the Northern Tablelands of New South Wales. Results from these suggest that this alternative approach is a distinct improvement on earlier stochastic formulations which utilize linear programming algorithms.

Suggested Citation

  • Wicks, John A. & Guise, John W.B., 1978. "An Alternative Solution To Linear Programming Problems With Stochastic Input-Output Coefficients," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 22(1), pages 1-19, April.
    • Handle: RePEc:ags:ajaeau:22495
    DOI: 10.22004/ag.econ.22495
    as

    Download full text from publisher

    File URL: https://ageconsearch.umn.edu/record/22495/files/22010022.pdf
    Download Restriction: no
    File URL: https://libkey.io/10.22004/ag.econ.22495?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. P. B. R. Hazell, 1971. "A Linear Alternative to Quadratic and Semivariance Programming for Farm Planning under Uncertainty," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 53(1), pages 53-62.
    2. P. B. R. Hazell, 1971. "A Linear Alternative to Quadratic and Semivariance Programming for Farm Planning under Uncertainty: Reply," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 53(4), pages 664-665.
    3. Jean-Marc Boussard & Michel Petit, 1967. "Representation of Farmers' Behavior under Uncertainty with a Focus-Loss Constraint," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 49(4), pages 869-880.
    4. Klein, Roger W. & Bawa, Vijay S., 1976. "The effect of estimation risk on optimal portfolio choice," Journal of Financial Economics, Elsevier, vol. 3(3), pages 215-231, June.
    5. B. Curtis Eaves, 1971. "On Quadratic Programming," Management Science, INFORMS, vol. 17(11), pages 698-711, July.
    6. Anderson, Jock R. & Dillon, John L. & Hardaker, Brian, 1977. "Agricultural Decision Analysis," Monographs: Applied Economics, AgEcon Search, number 288652, November.
    7. Barry, Christopher B, 1974. "Portfolio Analysis under Uncertain Means, Variances, and Covariances," Journal of Finance, American Finance Association, vol. 29(2), pages 515-522, May.
    8. Anderson, Jock R. & Feder, Gershon, 2007. "Agricultural Extension," Handbook of Agricultural Economics, in: Robert Evenson & Prabhu Pingali (ed.), Handbook of Agricultural Economics, edition 1, volume 3, chapter 44, pages 2343-2378, Elsevier.
    9. Joyce T. Chen, 1973. "Quadratic Programming for Least-Cost Feed Formulations under Probabilistic Protein Constraints," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 55(2), pages 175-183.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Parkinson, Simon C. & Djilali, Ned, 2015. "Long-term energy planning with uncertain environmental performance metrics," Applied Energy, Elsevier, vol. 147(C), pages 402-412.
    2. El-Shazly, Fawzy A. & Mansour, Mahmoud E. E. & Ahmed, Mousa A. & Shehata, Emad A., 2009. "التركيب المحصولى المصرى فى ظل المخاطرة والمتغيرات المحلية والدولية [Egyptian Cropping Pattern Under Risk and Varying Domestic and International Circumstances]," MPRA Paper 42634, University Library of Munich, Germany, revised 04 Oct 2009.
    3. Pannell, David J., 1988. "Modelling Risk in Linear Programming Using Direct Solution of Linearly Segmented Approximations of the Utility Function," Discussion Papers 315423, University of Western Australia, School of Agricultural and Resource Economics.
    4. Kingwell, Ross, 1996. "Programming models of farm supply response: The impact of specification errors," Agricultural Systems, Elsevier, vol. 50(3), pages 307-324.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Runge, C. Ford, 2006. "Agricultural Economics: A Brief Intellectual History," Staff Papers 13649, University of Minnesota, Department of Applied Economics.
    2. Anderson, Jock R., 1975. "Programming For Efficient Planning Against Non-Normal Risk," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 19(2), pages 1-14, August.
    3. Apland, Jeffrey & Kaiser, Harry M., 1984. "Discrete Stochastic Sequential Programming: A Primer," Staff Papers 13545, University of Minnesota, Department of Applied Economics.
    4. Bond, Gary E. & Wonder, Bernard, 1980. "Risk Attitudes Amongst Australian Farmers," Australian Journal of Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 24(1), pages 1-19, April.
    5. Anderson, Kim B. & Mapp, Harry P., Jr., 1996. "Risk Management Programs In Extension," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 21(1), pages 1-8, July.
    6. Pannell, David J. & Nordblom, Thomas L., 1998. "Impacts of risk aversion on whole-farm management in Syria," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 42(3), pages 1-21.
    7. Walker, Odell L. & Nelson, A. Gene, 1980. "Dealing With Risks In The Management Agricultural Firms: An Extension/Teaching Viewpoint," Risk Analysis in Agriculture: Research and Educational Developments, January 16-18, 1980, Tucson, Arizona 271561, Regional Research Projects > W-149: An Economic Evaluation of Managing Market Risks in Agriculture.
    8. Walker, Odell L. & Hardin, Mike L. & Mapp, Harry P., Jr. & Roush, Clint E., 1979. "Farm Growth And Estate Transfer In An Uncertain Environment," Southern Journal of Agricultural Economics, Southern Agricultural Economics Association, vol. 11(1), pages 1-12, July.
    9. Arriaza Balmón, Manuel & Gomez-Limon, Jose A. & Upton, Martin, 1997. "Local water markets for irrigation in southern Spain: A multicriteria approach," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 46(1), pages 1-23.
    10. Teague, Paul W. & Lee, John G., 1988. "Risk Efficient Perennial Crop Selection: A Motad Approach To Citrus Production," Southern Journal of Agricultural Economics, Southern Agricultural Economics Association, vol. 20(2), pages 1-8, December.
    11. Apland, Jeffrey & Hauer, Grant, 1993. "Discrete Stochastic Programming: Concepts, Examples And A Review Of Empirical Applications," Staff Papers 13793, University of Minnesota, Department of Applied Economics.
    12. Visagie, S.E. & Ghebretsadik, A.H., 2005. "Modelling risk in farm planning," Agrekon, Agricultural Economics Association of South Africa (AEASA), vol. 44(4), pages 1-25, December.
    13. Rudel, Richard K. & McCamley, Francis P., 2000. "Target Motad For Risk Lovers: An Alternative Version," 2000 Annual Meeting, June 29-July 1, 2000, Vancouver, British Columbia 36328, Western Agricultural Economics Association.
    14. Falatoonzadeh, Hamid & Conner, J. Richard & Pope, Rulon D., 1985. "Risk Management Strategies To Reduce Net Income Variability For Farmers," Southern Journal of Agricultural Economics, Southern Agricultural Economics Association, vol. 17(1), pages 1-14, July.
    15. Walker, Neal & Monypenny, Richard, 1976. "Linear Programming As A Tool For Agricultural Sector Analysis," Review of Marketing and Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 44(04), pages 1-14, December.
    16. Hatch, L. Upton & Atwood, Joseph A. & Segar, James, 1989. "An Application Of Safety-First Probability Limits In A Discrete Stochastic Farm Management Programming Model," Southern Journal of Agricultural Economics, Southern Agricultural Economics Association, vol. 21(1), pages 1-8, July.
    17. Doppler, Werner & Salman, Amer Z. & Al-Karablieh, Emad K. & Wolff, Heinz-Peter, 2002. "The impact of water price strategies on the allocation of irrigation water: the case of the Jordan Valley," Agricultural Water Management, Elsevier, vol. 55(3), pages 171-182, June.
    18. Young, Douglas & Lin, William & Pope, Rulon & Robison, Lindon & Selley, Roger, 1979. "Risk Preferences Of Agricultual Producers:Their Measurement And Use," Risk Management in Agriculture: Behavioral, Managerial, and Policy Issues, January 25-26, 1979, San Francisco, California 271459, Regional Research Projects > W-149: An Economic Evaluation of Managing Market Risks in Agriculture.
    19. King, Robert P. & Robison, Lindon J., 1980. "Implementing Stochastic Dominance With Respect To A Function," Risk Analysis in Agriculture: Research and Educational Developments, January 16-18, 1980, Tucson, Arizona 271563, Regional Research Projects > W-149: An Economic Evaluation of Managing Market Risks in Agriculture.
    20. Musshoff, Oliver & Hirschauer, Norbert, 2004. "Optimierung unter Unsicherheit mit Hilfe stochastischer Simulation und Genetischer Algorithmen – dargestellt anhand der Optimierung des Produktionsprogramms eines Brandenburger Marktfruchtbetriebes," German Journal of Agricultural Economics, Humboldt-Universitaet zu Berlin, Department for Agricultural Economics, vol. 53(07), pages 1-16.

    More about this item

    Keywords

    Research Methods/ Statistical Methods;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ags:ajaeau:22495. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: AgEcon Search (email available below). General contact details of provider: https://edirc.repec.org/data/aaresea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.