Pareto front assistance GAmultiobjective

hi guys, im a matlab rookie so this could very possibly be a really easy fix.

im trying to figure out what objective 3 is, 1 and 2 lines up with what im trying to find.

nvar = 1500;

lb = [3000 1000];

ub = [5000 3000];

live Script here

function F = mymulti1(T_to)

y = 20640000;

%T_to = 3050; %degC

A_choke = 0.0531; %m^2

A_Rat = 78;

A_Exit = A_choke * A_Rat; %m^2

T_Exit = 343.2;

M_Exit = 1.65; %Ratio

Gamma = 1.26; %Const

Gas_const = 287.5; %Const

MFR = ((A_choke * y) ./ (sqrt(T_to))) * (sqrt(Gamma / Gas_const)) * ( ((Gamma + 1) / 2)^-((Gamma + 1) / 2*(Gamma - 1)));

Pressure_Exit = (1 + ((Gamma - 1) / 2) * ((M_Exit) ^ 2))^ - (Gamma /(Gamma - 1)) * y;

Velocity_Exit = M_Exit * sqrt(Gamma * Gas_const * T_Exit);

Thrust = (MFR .* Velocity_Exit) + (A_Exit * Pressure_Exit);

F{2} = Thrust ./ MFR ;

F{1} = (y .* A_choke) ./ MFR;

F = cell2mat(F);

end

further more im trying to turn the 2400pareto in a better looking pareto function like the pareto front attachment.

any advice here?

thanks

Samir

Answer 1

[Umang Pandey]

Hi Samir,

From what I understand, you are trying to figure out a third objective function and you also want to know how you can obtain a pareto front for the optimization problem.

The objective functions entirely depend upon the optimization problem which is not provided. To help you with the third objective, I would need to know what you are trying to achieve or optimize with this third objective. It could be related to efficiency, cost, another performance metric, or a constraint that you need to satisfy.

As for visualizing a Pareto front, MATLAB has built-in functions to plot Pareto fronts if you're using optimization tools like "gamultiobj" from the Global Optimization Toolbox. You can refer to the following documentation for more information:

https://www.mathworks.com/help/gads/gamultiobj.html

Additionally, the following video on "Pareto Sets for Multiobjective Optimization" will be helpful in getting started:

https://www.mathworks.com/videos/pareto-sets-for-multiobjective-optimization-1535999427864.html

The following MATLAB discovery page on "Multiobjective Optimization" comprises of more such beginner-friendly resources:

https://www.mathworks.com/discovery/multiobjective-optimization.html

Best,

Umang