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On Resolving Multiple Optima in Linear Programming

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  • Drynan, Ross G.

Abstract

Although the solution to a linear programming problem is not necessarily unique, the theoretical and practical implications of multiple optima have not been thoroughly discussed by agricultural economists. Recently there have been calls for greater recognition, resolution and exploitation of multiplicity. In this note, it is argued that previous recommendations for resolving multiplicity are restrictive both procedurally and conceptually. An alternative and more general approach is outlined.

Suggested Citation

  • Drynan, Ross G., 1986. "On Resolving Multiple Optima in Linear Programming," Review of Marketing and Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 54(02), pages 1-5, August.
    • Handle: RePEc:ags:remaae:12577
    DOI: 10.22004/ag.econ.12577
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    References listed on IDEAS

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    1. Bruce A. McCarl, 1977. "Degeneracy, Duality, And Shadow Prices In Linear Programming," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 25(1), pages 70-73, February.
    2. Ronald E. Miller, 1985. "Multiple Optimal Solutions in Linear Programming Models: A Further Comment," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 67(1), pages 153-153.
    3. Bruce A. McCarl & Wilfred V. Candler & D. Howard Doster & Paul R. Robbins, 1977. "Experiences With Farmer Oriented Linear Programming For Crop Planning," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 25(1), pages 17-30, February.
    4. Quirino Paris, 1983. "Multiple Optimal Solutions in Linear Programming Models: Reply," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 65(1), pages 184-186.
    5. Quirino Paris, 1985. "Multiple Optimal Solutions in Linear Programming Models: A Further Reply," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 67(1), pages 154-155.
    6. Quirino Paris, 1981. "Multiple Optimal Solutions in Linear Programming Models," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 63(4), pages 724-727.
    7. Knolmayer, G, 1976. "How many-sided are shadow prices at degenerate primal optima?," Omega, Elsevier, vol. 4(4), pages 493-494.
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