Exponential transformation

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Author: Daniel Garcia (ChBE 345)

Stewards: Dajun Yue and Prof. Fengqi You

Date presented: May 25, 2014

This article concerns the exponential transformation method for globally solving posynomial (or general geometric/signomial) optimization problems with nonconvex objective functions or constraints. A discussion of the method's development, use, and limitations will be presented.


History and Background

Before discussing methods to solve posynomial optimization problems, a brief review of posynomials is of use. A posynomial, as defined by Duffin, Peterson, and Zener (1967) as a function of the form

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Original Development

Content under subtitle 1.1.

Historical Use

Give some examples here.


Discuss limitations here


Content under conclusions S_{\text{new}} = S_{\text{old}} - \frac{ \left( 5-T \right) ^2} {2}