Using optimization Toolbox without Objective functions, only set of points

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omid rastkhiz paydar 2021-2-15

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https://ww2.mathworks.cn/matlabcentral/answers/746207-using-optimization-toolbox-without-objective-functions-only-set-of-points

评论： Pedro Pesante Castro 2021-5-30

I have 4 or 5 input parameters and 1 or 2 output parameters and these inputs and outputs are only points and there is no function, e.g. 3 inputs and 2 outputs, like 10,6,26 inputs and 0.11 , 0.16 as two outputs and in total I have 10 of these set of points (each set has 3 inputs and 2 outputs) and also a simple constraint for each parameter like (a < x1,x2,x3 < b) and now I want to find a combination of these 3 inputs that the sum of my outputs would be less than 0.1, and I want to use e.g. Genetic Algorithm, so it is a possibility that I have several answers or sets of 3 inputs, and that is ok (acceptable) in my case. and Basiclly it is an improvement instead of optimization.

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omid rastkhiz paydar 2021-2-16

It is exactly like this case @Chaitanya Sanghavi

https://se.mathworks.com/matlabcentral/answers/429999-constraint-optimization-for-an-unknown-relation-between-objective-function-and-variables

I have two contraint variables, lets call them d -diameter and Youngs modulus - E. (d, E are constraint within certain limits)

I want to minimize the stress- "S" induced in the structure depending on "d" and "E".I do not have a direct relationship of S with "d" and "E". I have a big computational model with many functions and scripts. For a specific set of d and E it returns me S.

function [S] = optimize(d,E)

...

... FEM model (quite big)....

...

S = 10log10(Incident Load (d,E)/Transmitted Load(d,E));

% Incident Load depends on d,E but this relationship is not known and too complicated to know.

% Transmitted Load depends on d,E but this relationship is not known and too complicated to know.

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