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Curve Enclosing Max Area

  1. Dec 30, 2009 #1
    1. The problem statement, all variables and given/known data
    Hi all,
    I have a project for optimization class and the problem is that:

    A curve [tex]\alpha[/tex](t) = (x(t),y(t)) of length L = 6 units is to be found so that the area enclosed by the curve and the x-axis is maximum. Curve will be start at (1, 0) and end at (3, 0).

    I am supposed to solve this problem by using various kind of optimization algorithms which are Steepest descent, Newton’s method, Fletcher-Reeves and Davidon-Fletcher-Powell. I'll apply these methods in Matlab.

    3. The attempt at a solution

    Since these methods are for unconstrained optimization problems, I think I should treat this constrained problem as an unconstrained problem using some methods like penalty and barrier methods. However, I could't find out which method I should apply.

    Thanks in advance..
  2. jcsd
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