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A Generalised Concept of Dominance in Linear Programming Models

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  • Drynan, Ross G.

Abstract

The notion of dominance most familiar to agricultural economists is perhaps the decision theoretic concept entailed in comparing one risky prospect to others. But dominance concepts are also relevant in the linear programming context, for example in identifying redundant constraints. In this note, the standard concept of dominance in linear programming is generalized by defining dominance with respect to differing levels of information about the programming problem.

Suggested Citation

  • Drynan, Ross G., 1987. "A Generalised Concept of Dominance in Linear Programming Models," Review of Marketing and Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 55(02), pages 1-7, August.
    • Handle: RePEc:ags:remaae:12358
    DOI: 10.22004/ag.econ.12358
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    References listed on IDEAS

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    1. Fishburn, Peter C., 1974. "Convex stochastic dominance with continuous distribution functions," Journal of Economic Theory, Elsevier, vol. 7(2), pages 143-158, February.
    2. Gerald L. Thompson & Fred M. Tonge & Stanley Zionts, 1966. "Techniques for Removing Nonbinding Constraints and Extraneous Variables from Linear Programming Problems," Management Science, INFORMS, vol. 12(7), pages 588-608, March.
    3. G. Hanoch & H. Levy, 1969. "The Efficiency Analysis of Choices Involving Risk," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 36(3), pages 335-346.
    4. Vijay S. Bawa, 1982. "Research Bibliography---Stochastic Dominance: A Research Bibliography," Management Science, INFORMS, vol. 28(6), pages 698-712, June.
    5. Drynan, Ross G., 1987. "Allocative vs. Technical Efficiency, and Related Matters in Linear Programming," Review of Marketing and Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 55(02), pages 1-8, August.
    6. Kmietowicz, Z. W. & Pearman, A. D., 1982. "Decision theory and strict ranking of probabilities," European Journal of Operational Research, Elsevier, vol. 9(4), pages 397-404, April.
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