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Here, p.6, an elementary example of design (size) optimization is given.

It's of a tray that has given volume $V$ and height $H$. The design problem is to select length, $l$, and width, $w$, of the tray.

enter image description here

So,

given $lwh=V$ and $h=H$,

A "workable design" is $$lw=\frac{V}{H}$$

What is the meaning of $lw$? It's an area of a rectangle, but how does this define the optimal design?

mavavilj
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  • It is not optimal. Any $l * w$ satisfying the equation are feasible solution. The optimality comes from defining an objective function. As the next slide in your link shows the objective function could be total material volume. – skr Aug 11 '16 at 06:12
  • @skr Aha, so "workable design" is the same thing as "feasible solution". – mavavilj Aug 11 '16 at 06:18
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    I think that's what the author meant. – skr Aug 11 '16 at 06:19

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