Difference between revisions of "Exponential transformation"

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Author: Daniel Garcia  
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Author: Daniel Garcia (ChBE 345)
  
 
Stewards: Dajun Yue and Prof. Fengqi You
 
Stewards: Dajun Yue and Prof. Fengqi You
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==History and Background==
 
==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)
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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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 +
<math>f(x1,x2,...,xn)=sum</math>
 
===Original Development===
 
===Original Development===
 
Content under subtitle 1.1.
 
Content under subtitle 1.1.

Revision as of 13:02, 25 May 2014

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.

Contents

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

f(x1,x2,...,xn)=sum

Original Development

Content under subtitle 1.1.

Historical Use

Give some examples here.

Limitations

Discuss limitations here

Conclusions

Content under conclusions