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I have a multi objective optimization problem, subject to constraints

f(x)=C1(x)+C2(x) where both C1(x) and C2(x) should be minimized.

x is a vector and l and u, lower and upper bounds

I applied alg. Nelder Mead with penalties (to handle the constraints) enter image description here

and got the following graph of the total cost f(x) at each iteration. enter image description here

The question is: are the oscillations normal? What caused the oscillations? The penalties applied or the fact that I have two objectives (C1 and C2), and when one is attempted to be decreased, the other is increased?

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