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On a Compound Duality Classification for Geometric Programming

Author

Listed:
  • Qinghong Zhang

    (Northern Michigan University)

  • Kenneth O. Kortanek

    (University of Pittsburgh)

Abstract

A classification table for geometric programming is given in this paper. The table is exhaustive and exclusive with only one state in each row and each column. It proves that out of 49 possible duality states, only seven are possible. The proofs of theorems leading to the classification table are based on the new states, which are defined according to the newly defined homogenized programs for both the primal and dual geometric programming.

Suggested Citation

  • Qinghong Zhang & Kenneth O. Kortanek, 2019. "On a Compound Duality Classification for Geometric Programming," Journal of Optimization Theory and Applications, Springer, vol. 180(3), pages 711-728, March.
    • Handle: RePEc:spr:joptap:v:180:y:2019:i:3:d:10.1007_s10957-018-1415-1
    DOI: 10.1007/s10957-018-1415-1
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    References listed on IDEAS

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    1. GOCHET, Willy & SMEERS, Yves, 1975. "Constraint sets of geometric programs characterized by auxiliary problems," LIDAM Reprints CORE 237, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. François Glineur, 2001. "Proving Strong Duality for Geometric Optimization Using a Conic Formulation," Annals of Operations Research, Springer, vol. 105(1), pages 155-184, July.
    Full references (including those not matched with items on IDEAS)

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