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Nearly Optimal Linear Programming Solutions: Some Conceptual Issues and a Farm Management Application

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  • Robert O. Burton
  • James S. Gidley
  • Barton S. Baker
  • Kimberly J. Reda-Wilson

Abstract

Nearly optimal solutions in linear programming provide useful information to decision makers. Modeling to generate alternatives may be used to generate a set of nearly optimal solutions from which a decision maker may select the desired solution by considering criteria not quantified in the model. The mathematical problem is to find vertices of a convex polytope. A pivoting method of vertex enumeration is used to generate all extreme-point nearly optimal solutions of an example problem involving selection of a marketing strategy for beef calves. Compared to the optimal solution, nearly optimal solutions have more diversity or use less cash or hired labor.

Suggested Citation

  • Robert O. Burton & James S. Gidley & Barton S. Baker & Kimberly J. Reda-Wilson, 1987. "Nearly Optimal Linear Programming Solutions: Some Conceptual Issues and a Farm Management Application," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 69(4), pages 813-818.
    • Handle: RePEc:oup:ajagec:v:69:y:1987:i:4:p:813-818.
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    File URL: http://hdl.handle.net/10.2307/1242192
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    Citations

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    Cited by:

    1. Galetto, Alejandro & El-Osta, Hisham & Helmers, Glenn A., 1989. "A Practical Way to Obtain Near-Optimal Solutions (NOS) in Linear Programming," WAEA/ WFEA Conference Archive (1929-1995) 244854, Western Agricultural Economics Association.
    2. Abdulkadri, Abdullahi O. & Ajibefun, Igbekele A., 1998. "Developing alternative farm plans for cropping system decision making," Agricultural Systems, Elsevier, vol. 56(4), pages 431-442, April.
    3. Makowski, David & Hendrix, Eligius M. T. & van Ittersum, Martin K. & Rossing, Walter A. H., 2001. "Generation and presentation of nearly optimal solutions for mixed-integer linear programming, applied to a case in farming system design," European Journal of Operational Research, Elsevier, vol. 132(2), pages 425-438, July.
    4. D'Souza, Gerard E. & Smith, Dennis K. & Romero, Rafael F., 1988. "An Economic Analysis Of Alternative Beef-Cattle Grazing Systems," 1988 Annual Meeting, August 1-3, Knoxville, Tennessee 270324, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    5. Levins, Richard A. & Rego, Winston T., 1990. "Agricultural Planning Expert: A Model Of Farm Enterprise Selection," Southern Journal of Agricultural Economics, Southern Agricultural Economics Association, vol. 22(2), pages 1-6, December.

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