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Constrained maximization of posynomials by geometric programming

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Abstract

Geometric programming is extended and applied to maximize a posynomial subject to posynomial constraints.

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References

  1. Duffin, R. J., Peterson, E. L., andZener, C.,Geometric Programming, John Wiley and Sons, New York, 1967.

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  2. Duffin, R. J.,Linearizing Geometric Programs, Carnegie-Mellon University, Department of Mathematics, Report No. 68-35, 1968.

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Communicated by R. A. Howard

The contribution of the senior author is part of a Ph.D. Thesis in Industrial Engineering, Northwestern University, 1969. This research was partly supported by the National Science Foundation, Project No. GP-13546. The authors are grateful to Professor R. J. Duffin for his many helpful comments and suggestions.

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Pascual, L.D., Ben-Israel, A. Constrained maximization of posynomials by geometric programming. J Optim Theory Appl 5, 73–80 (1970). https://doi.org/10.1007/BF00928296

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  • DOI: https://doi.org/10.1007/BF00928296

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