Is it possible to linearize the non-linear equation in this linear programming?

[jack1234]

Have typed the question is latex format, here it is:
http://i.stack.imgur.com/grxgI.png

 

[Stephen Tashi]

I suggest that you post this question using the forum's Latex. Also clarify what is mean by:
phrases like

$Q'max(k)$ and $Q'min(k)$ is the aggregated max and min $k-$th attribute of a composite component...

Max's and min's are going to be taken over sets of things and it will be easier to understand your question if you name the sets involved symbolically and use those names to describe the max and min operations.