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Optimization of multiple depentent objectives?
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Oliver Klein  
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 More options Aug 28 2008, 4:27 am
Newsgroups: sci.math
From: Oliver Klein <kl...@web.de>
Date: Wed, 27 Aug 2008 23:27:47 +0200
Local: Thurs, Aug 28 2008 4:27 am
Subject: Optimization of multiple depentent objectives?
Hello,

I am wondering if it makes sense to optimize two
depentent objectives using a multi-objective algorithm.
The objectives are related to each other as follows:

A = B * C

where A and B are the two objectives to be maximized.
C is not constant. The variables A, B, and C are real
variables bounded to the range 0 to 1.

The objective space is limited by A = B. However,
for instance, a valuable solution is also a solution
where A is high, but C low which results in a low B.
Therefore it is clear that a Pareto optimal trade-off
front exists.

However, I am unsure if it makes sense to use a
multi-objective approach on such a problem.

Also I would be interested in any study of multi-
objective optimization of dependent variables.

Regards,
Oliver


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