Multi objective optimization: Ideal vector

Asked Jul 13 '15 at 17:16

Active Jul 14 '15 at 01:40

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I'm going to consider the two problem distinctly. Now I want to calculate $z_1^{id}$ and $z_2^{id}$ and $x_1^{id}$ and $x_2^{id}$ where

$z_1^{id} = min(x)$

$z_2^{id} = max(y)$

$z_1^{id}$ is the value of the first objective function when I consider only the first one. $z_2^{id}$ when i consider only the second

I tried. And I get:

$z_1^{id} = 0 $

$z_2^{id} = 2 $

But I cannot figure out which is the optimal $x_1$ and $x_2$ ?? Because in the objective function and I have either $x$ or $y$, not both.

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edited Jul 13 '15 at 17:28

asked Jul 13 '15 at 17:16

user1028100

What is your objective function? This is not clear in you post. And what is $z_1^{id}$ and so on? – mathcounterexamples.net Jul 13 '15 at 17:26
$z_1^{id}$ is the value of the first objective function when I consider only the first one. $z_2^{id}$ when i consider only the second – user1028100 Jul 13 '15 at 17:27

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