Optimization of a multi-objective function
Hello, everyone,
Please I am looking for the minimum of the multi-objective function given in the joined file.
If an analytical solution is possible, please, provide it. if it is not possible please say why, and use a numerical method(weighted sum method, Pareto optimality...). f1 is more important than f2 and f3. f2 and f3 are at the same level of importance.
Please give all the calculations and method details.
Answer
Answers can only be viewed under the following conditions:
- The questioner was satisfied with and accepted the answer, or
- The answer was evaluated as being 100% correct by the judge.
1 Attachment

4.8K
-
Leave a comment if you have any questions.
-
Good job
-
Does the function still convex if we don't neglect h ?
-
For the gradient decent method, you do not need convexity. The algorithm will converge. But I don't think putting the h there will make a sensible difference.
-
thanks very much
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- answered
- 1440 views
- $10.00
Related Questions
- Analyzing the Domain and Range of the Function $f(x) = \frac{1}{1 - \sin x}$
- Suppose $u \in C^2(\R^n)$ is a harmonic function. Prove that $v=|\nabla u|^2$ is subharmonic, i.e. $-\Delta v \leq 0$
- Find the extrema of $f(x,y)=x$ subject to the constraint $x^2+2y^2=2$
- Optimal Control - Calculus of Variations
- Urgency Can you help me Check these Applications of deritive.
- The cross sectional area of a rod has a radius that varies along its length according to the formula r = 2x. Find the total volume of the rod between x = 0 and x = 10 inches.
- Integral of the fundamentla solution of the heat equation
- Find the quadratic approximation of the following functions at the given points