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Entropy Maximization and Geometric Programming

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  • J J Dinkel
  • G A Kochenberger
  • S-N Wong

Abstract

This paper shows the equivalence of entropy-maximization models to geometric programs. As a result we derive a dual geometric program which consists of the minimization of an unconstrained convex function. We develop the necessary duality equivalencies between the two dual programs and show the computational attractiveness of our approach. We also develop some characterizations of the optimal solution of the entropy model which have important implications with regard to postoptimal or sensitivity analysis.

Suggested Citation

  • J J Dinkel & G A Kochenberger & S-N Wong, 1977. "Entropy Maximization and Geometric Programming," Environment and Planning A, , vol. 9(4), pages 419-427, April.
    • Handle: RePEc:sae:envira:v:9:y:1977:i:4:p:419-427
    DOI: 10.1068/a090419
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    References listed on IDEAS

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    1. P. Nijkamp & J.H.P. Paelinck, 1974. "A Dual Interpretation And Generalization Of Entropy‐Maximizing Models In Regional Science," Papers in Regional Science, Wiley Blackwell, vol. 33(1), pages 13-31, January.
    2. John J. Dinkel & Gary A. Kochenberger, 1977. "Technical Note—On Sensitivity Analysis in Geometric Programming," Operations Research, INFORMS, vol. 25(1), pages 155-163, February.
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