Multi-objective Optimization with Genetic Algorithm - A MATLAB Tutorial for Beginners

In this tutorial, I show implementation of a multi-objective optimization problem and optimize it using the built-in Genetic Algorithm in MATLAB. The given objective function is a simple function that helps a beginner user to understand the basic concept of optimization in MATLAB easier. The given objective function or fitness function has one input variable and two outputs. I write two separate functions one for the fitness function and one for the main algorithm. I plot the pareto-front that illustrates the obtained solutions in a proper way.

For a simpler tutorial on optimization using Genetic Algorithm with single objective functions without constraints see this video:

For a simpler tutorial on optimization using Genetic Algorithm with single objective functions with constraints see this video:

[GEMSofGOD_com]

What a beginning. Great music, partners! ☀️

[Sanjay_Suresh_Sutar]

thanks ... it is very much useful to me

[tasheelaas]

Nice Video😍
Could u plz guide me, if I have 2 variables x1 and x2(y1=f(x1) and y2=f(x2)), how do I proceed, Should I write 2 scripts and then write the main.m ?

[polireddy]

Hi, I have three design variables. But, the two objective functions are exists at five different holes of the geometry. How Can I start problem in MATLAB and Pareto plot for this case. Please help me

[pedramasef]

Thanks for your tutorial,
Is that possible to use this programming for 2 variables? or that only works for one variable fitness function.

[sanjeevverma]

sir how to use fitness function to plot the graph between objective function and some ther variable

[ethioomation]

Thank u . could you tell me the way to plot Pareto from point data simulation, i don't have a function, or do i have to assume?

[jefrin]

It is a fantastic explanation!
Sir, I have experimental datasets for one objective to minimize (surface roughness) and the other to maximize (tensile strength). Pls explain how to convert the experimental data into usable function (like you used (x+2)^2-10) for MOGA in MATLAB. How to convert the experimental data into function? I find no resources in this stuff.

[hamidazani]

Hi sir, thank you for the tutorial. I followed your tutorial step by step to solve my exercise which used to minimize three functions with three non-linear constraints and one linear constraint. After execution, I get my results as a scalar values not vectors. Also, the pareto front graph illustrates one dot only not a curve. Any suggestions to display a graph with pareto front?
Thanks in advance
H.A.

[banita]

I can't run gamultiobj function even it doesn't who on my matlab. how to call that function? I just installed the latest version anyway

[ghallebtarekabdallah]

usefull tuto, like the music too
thnx broo, great job :)

[farheenhasnat]

Can I allot weights to the two functions in the objective WHEN they are of different dimensions (eg cost and satisfaction)?
if yes, then how?

[ramprasadjnawali]

Here there is no constraints involved.How to solved in case of constraints involved?

[anushasheth]

is there a way to include equality constraints to this?

[ebarbie]

Thanks! I have some questions: What is more optimal, (1) using multi-objective approach, or (2) using weighted sum approach to combine the two (or multi) obj functions into a single fitness (cost) function ?

And, what is the best way of choosing the weights?

Also, if the functions are of more than 2 variables, clearly they cannot be plotted for visual inspection. What can be done in that case?

Thanks

[carolinafrancisco]

hi! it is a nice video... I have a question, If I want to minimize one objective and miximize the onther one ... What can I do?.... Greetings from Mexico

[sreelakshmiramadas]

is it possible to solve multiobjective linear programming by ga

[jizozorfred]

I have a question, when we get the solution of the optimization, like the solutions of two objectives functions, could we use them to draw the Pareto Chart directly with excel?

[md.aftabalam]

sir i have to do optimization with matlab using GA but in my case no. of variable is more 70 .please help me how to it for more no of variable

[kelzangmpee]

Hello sir
Thankyou for the video
I have one doubt .
If we have 3 objective function, f1, f2 and f3. Without using weighted sum, can we use optimization toolbox ? Or do we have to make it into single objective function?