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A note on the effects of degeneracy on cost coefficients ranges and an algorithm to resolve interpretation problems

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  • Knolmayer, Gerhard

Abstract

The problems of determining meaningful dual values and of per-forming meaningful sensitivity analysis in degenerate optima are reconsidered. For primal degenerate optima, earlier results on determining meaningful dual values are used to propose an effi-cient algorithm for determining meaningful cost coefficient ranges. It is further shown that the recently proposed determi-nation of cost ranges at dual degenerate optima does not corres-pond to the usual definition of cost ranges.

Suggested Citation

  • Knolmayer, Gerhard, 1982. "A note on the effects of degeneracy on cost coefficients ranges and an algorithm to resolve interpretation problems," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 111, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    • Handle: RePEc:zbw:cauman:111
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    References listed on IDEAS

    as
    1. M. L. Balinski & W. J. Baumol, 1968. "The Dual in Nonlinear Programming and its Economic Interpretation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(3), pages 237-256.
    2. Eilon, A & Flavell, R, 1974. "Note on "many-sided shadow prices"," Omega, Elsevier, vol. 2(6), pages 821-823, December.
    3. 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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