Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

What optimisation method to use?

  1. Jan 29, 2008 #1
    for the problem:
    - find H and W as functions of y0, E (having a method to solve for y0 = const, E=const is fine, too) such as product HW is max, under constraint: HW/(y0 + H) < E

    if numeric, the method should be fast.

    any suggestions?
  2. jcsd
  3. Jan 29, 2008 #2
    ...from my attempt at solution, I have W < Ey0/H + E versus W = (max)/H, so it looks like for Ey0 <= 1 I have H approaching infinity, and for > 1 I have W approaching infinity.

    can someone verify this?

    ...EDIT now when I think about it more, it seems because of "W < ... + E" increasing H is always favoured, maybe not if we limit W and H to something less then infinity (in real world they are values no more than ~1000).
    Last edited: Jan 29, 2008
  4. Jan 29, 2008 #3
    so it looks like this:

    - if Ey0 > 1 compare results for max W versus max H under our constraint,
    - otherwise use max H

    am I right or what?
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?