Solve Multi-Objective Optimization Problems Using GA Solver in Matlab

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In this video, I’m going to show you a simple but effective way to solve various multi-objective optimization problems. This approach is very easy to implement, and it is based on multi-objective genetic algorithm solver (multi-objective GA solver) in Matlab. Let’s see how to use this optimization solver to solve a simple multi-objective optimization problem.
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1. Optimization Using Genetic Algorithm:
• Optimization Using Gen...
2. Optimization Using Particle Swarm Optimization:
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• Optimization Using Python
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Опубликовано:

9 сен 2024

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Комментарии : 127

@techno-wonders 3 года назад

If we want to save show the values of pareto front variables and decision variables along with plot how can we save this

@SolvingOptimizationProblems 3 года назад

Export the results to work space and then save it

@techno-wonders 3 года назад

By export we get code in workspace

@techno-wonders 3 года назад

Do we get that table also then how to retrieve it in presentable eformat

@SolvingOptimizationProblems 3 года назад

Hi, please have a look at my video related to triple objective optimization for how to do so. Thanks

@severnsevern1445 3 года назад

Please in the pareto front graph do we have possibility to visualize more than objectives functions?

@SolvingOptimizationProblems 3 года назад

Yes, it is possible to visualize 3 objectives. Have a look at my video named: "How to solve triple-objective optimization problems using Matlab". Thanks for your interest!!!

@siwanedi2243 2 года назад

Optimization running. Error running optimization. Undefined function 'nonlinear_constraints' for input arguments of type 'double'. why like that sir?

@SolvingOptimizationProblems 2 года назад

Check the format of all related functions

@siwanedi2243 2 года назад

how to check the format ??

@ShathaAlhamad 3 месяца назад

thank you , can you please help me in solving the base station placement problem in mobile communication using GA , the fitness function has two objective functions ,and the binary encoding is used to select the active or non active base station from the possible set of the base stations

@worshipacademy6402 3 года назад

if I have absolute values? for example: | x(1)-x(2) | . What is the comand?

@SolvingOptimizationProblems 3 года назад

Hi, abs(x(1)-x(2))

@ismailamara4431 4 года назад

Hi I'm using the built-in function (ga) in MATLAB. I want to make a constraint on a variable RD which is not one of the inputs variables (xi), as A.x

@SolvingOptimizationProblems 4 года назад

That constraint can be nonlinear constraint. Look at my m.file regarding nonlinear_constraints in this video for how to do it.

@sudiptamishra4297 3 года назад

Hello sir, Please help me. I can't rectify the error. Undefined function 'nonlinear constraints' for input arguments of type 'double'

@SolvingOptimizationProblems 3 года назад

Your format of the function is not correct

@ghazijumaa1648 3 года назад

Dear Sir, How we can optimize the constants in equations Like : Y=c1*X1+ C2 *X2^c3 I mean finding the optimum values for c1, c2, c3 based on data set?

@SolvingOptimizationProblems 3 года назад

Hi, what is the objective function? Y, X, or other thing?

@ghazijumaa1648 3 года назад

@@SolvingOptimizationProblems Y is a target variable and X is a predictor variable,

@SolvingOptimizationProblems 3 года назад

So, in this case, consider c1, c2, c3 as decision variables to optimize your objective function

@ghazijumaa1648 3 года назад

@@SolvingOptimizationProblems Can you share a video about this type of problem, really I searched all the RU-vid and I did not find any one.

@SolvingOptimizationProblems 3 года назад

There are several videos on my channel which solve similar problems. The solving principle is the same; although, it is not possible to find exact problem. Please let me know if you still have any difficulty!

@kelzangmpee8496 3 года назад

Hello sir , How do we optimize with summation objected function ? I have sent the image of the formula in the Facebook. Waiting for your response Thankyou sir

@SolvingOptimizationProblems 3 года назад

Let me check. Thanks

@user-td7zf4ed5u 3 года назад

If you found the

@user-lg6yu6ux7u 3 года назад

I have seen a lot of your videos. I have seen that most of the functions (when there are 2 variables) are solved with genetic algorithms. But I have 10 variables, and I want to solve a multipurpose function. I have organized the equation, and I don't know how to assign it and how to specify it. I want to talk in detail.

@SolvingOptimizationProblems 3 года назад

Hi, I prefer to use 2 dimensional problems to test my algorithm because it is possible to visualise the search space. To extend from 2 varibles to 1000 variables, it is not very much different.

@selcukkizilcaoglu6595 3 года назад

When I put run and answer to me this problem; Optimization running. Error running optimization. Undefined function 'nonlinear_constants' for input arguments of type 'double' what is soluition for this message?

@SolvingOptimizationProblems 3 года назад

Hi, the format of the "nonliear_constraints" is not correct.

@selcukkizilcaoglu6595 3 года назад

@@SolvingOptimizationProblems thank you for answer. I passed read to note on video about constraints.

@SolvingOptimizationProblems 3 года назад

Ok, thanks

@lalitgrover4581 3 года назад

Hi, I tried with the same example as you gave in a video but I receive an error. Error: File: ga.m Line: 4 Column: 14 Function with the duplicate name "ga" cannot be defined.

@SolvingOptimizationProblems 3 года назад

Maybe because of matlab version. I used matlab version 2016a

@kalimullah2773 3 года назад

Hello Error running optimization. Undefined function 'nonlinear_constraints' for input arguments of type 'double'. I facing the above error, why?

@kalimullah2773 3 года назад

its solved, thanks

@SolvingOptimizationProblems 3 года назад

Great! Good luck.

@kalimullah2773 3 года назад

@@SolvingOptimizationProblems Thanks

@miaadrina 3 года назад

@@SolvingOptimizationProblems hi. I'm facing the same problem. What should i do?

@imambayuprasetya2435 3 года назад

@@kalimullah2773 i facing the s same problem, how to solve it?

@yousrat4396 2 года назад

hello sir, I have a question please in the table we get of pareto front variables and decision variables why do we get multiple results ? are they in order ? like is the results of index 1 the optimal one to choose ?

@SolvingOptimizationProblems 2 года назад

In multi objective optimization, multiple optimal solutions exist

@nihith323 3 года назад

sir for me it is showing gaplot pareto not supported for thisalgorithm

@SolvingOptimizationProblems 3 года назад

Hello, I don't understand what you mean. Can you be more specific?

@tekesteaman5105 5 месяцев назад

thanks a lot for clear and supportive video. please help me if any video related to the method of changing multi objective to single objective and how to solve by genetic algorithm

@SolvingOptimizationProblems 4 месяца назад

Thank you for watching and suggestions!

@hamidmehrabi8853 3 года назад

I did it but I received this error: Undefined function 'nonlinear_constraint' for input arguments of type 'double' How can I fix this error?

@SolvingOptimizationProblems 3 года назад

Check the format of the m file

@sagnikbhattacharya6071 3 года назад

I had the same problem today. Then I realised that I have not added the path of folder (in which I saved those files) to matlab. So open "home" Open "Set path" Click "add folder" Find the folder where you saved these two files. Save and close And it should work.

@SolvingOptimizationProblems 3 года назад

Great to hear that. Good luck!

@ssirailsiuofstso9332 3 года назад

Your explanation is great. Can you talk about how to use the NSGA-|| algorithm for multi-objective optimization? Thank you.

@SolvingOptimizationProblems 3 года назад

I will upload NSGA_II soon. Thanks for watching

@ssirailsiuofstso9332 3 года назад

@@SolvingOptimizationProblems Thank you very much and look forward to your update！

@nightknight8070 3 года назад

This video really help me a lot! Thano you! I don't have any problem when try to run the optimization. However, when the optimization running, it won't show the graph as in the video. How can i fix it?

@nightknight8070 3 года назад

*Thank you

@SolvingOptimizationProblems 3 года назад

Please try run the exact function as shown in the video first and you should get the same result. And then update and try other functions later. Good luck!

@alsaidalmetwally5671 3 года назад

can u provide me the Matlab code for multi objective optimization for 3 responses and 3 independent variables. I have conducted 3 power of 3 full factorial design applied to three different responses. Thus I have 27 treatments and 27 for each variable

@SolvingOptimizationProblems 3 года назад

Hi, please have a look at video about triple objective optimization on this channel. We can generate Matlab code as well

@nadiarizkys 2 года назад

what if i want to use discrete values for some variables?

@SolvingOptimizationProblems 2 года назад

We need to update the objective function

@soumialahfair3171 2 года назад

thank you , please can you help me in this ziggurat method x1= 3.44 v=9.958e-3 (v:surface of one stairs and they have all same v ) n =128 (n:number of my stairs ) function f= exp(-(x^2)/2) using j=randi(n) ( j; normal distributio) u=2* rand([0,1]) (u ;uniform distribution ) how can i find x2 x3 x4... and y1 y2 y3 .... (y1 : wz can find it with this v/x1 )

@SolvingOptimizationProblems 2 года назад

I think you need to do regression before applying the solver

@nishantdhiman3361 Год назад

Hello sir, Thanks for this helpful video. I just want to know if this can directly be used for a dataset or do I need to get a regression equation first. I have a dataset with 3 input and two outputs

@SolvingOptimizationProblems Год назад

I think with your dataset, we need to do the regression

@tatianamoreira2753 3 года назад

Hi, thank you for the helpful video. I am only receiving one solution point on my pareto front, do you know how to fix this? And, can you use linear constraints in the gamultiobj?

@SolvingOptimizationProblems 3 года назад

Hi, increase the population size, you will have more chance to get more solutions. Thanks for watching!

@tatianamoreira2753 3 года назад

@@SolvingOptimizationProblems Hi, thanks for the response. I increased the population size, even to 10,000, and still have the same issue.

@SolvingOptimizationProblems 3 года назад

Check the constraints, what happens if you remove all the constraints?

@putrafallo3074 Год назад

sir,, i want to ask you how to get power generation unit scheduling with power target for example 40 MW load on 5 power plant units using multi objective genetic algorithm optimizing tool...thankyou sir 🙏

@SolvingOptimizationProblems Год назад

We need the problem formulations, objective function and constraints, and then follow the instruction in this video. Thanks for watching

@putrafallo3074 Год назад

@@SolvingOptimizationProblems thankyou sir 🙏

@severnsevern1445 3 года назад

Great video! Please can you make a video on Kigring surrogate model.

@SolvingOptimizationProblems 3 года назад

Thanks for your suggestions! I will try it as soon as possible.

@aminebenrhouma9287 3 года назад

hi can i change a parameter in the objective fonction in every run of the genetic algorithm?

@SolvingOptimizationProblems 3 года назад

Hello, for that, we need to develop our own GA code. This GA solver in Matlab. It is not possible to do so.

@aminebenrhouma9287 3 года назад

@@SolvingOptimizationProblems thank you

@s.vinothjohnprakash5957 3 года назад

I need to minimize x2,x4,x6 using GA toolbox matlab For the function f(x)=(x1*x2)+(x3*x4)+(x5*x6) Subject to constraints 0≤x2≤100 0≤x4≤ 20 0≤x6≤ 10

@SolvingOptimizationProblems 3 года назад

You mean: finding x2, x4, x6 to minimize f(x)? If that's the case, find my video about single objective GA solver in Matlab

@ksssb3621 3 года назад

I have a bunch of constrains for the constraints in inventory problem. How do I sort it?

@SolvingOptimizationProblems 3 года назад

For constrained problems, we need to add a constraint handling mechanism.

@meditationmusicmahimam3690 3 года назад

Same here... Can you please help me?

@bkarthikeya4438 3 года назад

@@meditationmusicmahimam3690 I'll

@veniciabond1058 3 года назад

Thanks a lot professor, this is the only video I have found so far with similar problem to what am stuck on and uses gamultiobj toolbox- your video is so much better and easy to follow. However being new to Matlab and self studying. am stuck on this after a few hours and readings. I am attempting to graph a bi-objective problem: ie maximize f1 = x1 & f2 = x2; with these two constraints (one quadratic and one linear inequality): 𝑥1^2 + 𝑥2^2 - 1 ≤ 0 & 2𝑥1 + 𝑥2 - 2≤0. How do you set it up and graph it in gamultiobj? The graphs I am getting compared to what I expect are too different. Do you write both constraint equations in one script like you did for your two quadratic constraints? Most importantly how do you enter the objective functions and constraints in the toolbox window? Tried several variations. Thanks

@SolvingOptimizationProblems 3 года назад

Hi, thanks for watching! All of your questions will be answered in this video. Your problem is 99% similar to the problem in this video. Just follow the instruction in this video, you should be able to solve it. Good luck!

@veniciabond1058 3 года назад

@@SolvingOptimizationProblems Thanks for taking your time to respond. Yes, as I said earlier it is similar, I followed it step by step to the end but the graph is totally different from expected. I created two scripts like you did: first script I just replace your functions with the f1 & f2 I typed above (your question is minimize, mine is maximize- so I put a negative infront of both f1/f2, note even if I dont put a negative the graph plotted still comes out wrong). for the second script I wrote it as: function [C Ceq] = nonlinear_constraints(Input) x1 = Input(1); x2 = Input(2); C(1) = x1^2 + x2^2 - 1; Ceq(1) = 2*x1 + x2 - 2; Tried others such as using C instead of C(1), entering 2*x1 + x2 - 2 as a matrix (A= [2 1], b =[2]) under Constraints in the linear inequality constraints section, etc. There are no bounds given so I tried several bounds (feasible region is within circle of radius 1). Any ideas on what I am doing wrong? Thanks and happy holidays

@SolvingOptimizationProblems 3 года назад

Hi, in your problem, there is no equality constraint, so Ceq = []. If you still have some difficulty, just let me know, so that, I will make a video on solving multi objective max problems

@veniciabond1058 3 года назад

@@SolvingOptimizationProblems the first attempt I made was: C(1) = x1^2 + x2^2 - 1; C(2) = 2*x1 + x2 - 2; Ceq = []; everything else is as you did but the graph of f1/f2 was still not as expected. So as mentioned I tried other versions including since C(2) is linear I entered it as a matrix in the linear inequality constraints of the toolbox ((A= [2 1], b =[2]) with the nonlinear script altered as - C = x1^2 + x2^2 - 1; Ceq = [];

@veniciabond1058 3 года назад

@@SolvingOptimizationProblems Thanks, i think it will definitely help some people even if they may not be in a situation similar to mine

@yugao-yv7gi Год назад

Hello sir,Your video is of great help to me. Do you know how to use gpops2 software package to realize adaptive h pseudo-spectral method and adaptive p pseudo-spectral method? I would appreciate it if you could answer it for me

@SolvingOptimizationProblems Год назад

Hello, I don't know that software. Thanks for watching!

@imexmaven7071 4 года назад

Hello sir, how do I use suitable niching method to solve discrete multi model TSP using GA in matlab? Sir, if you can share suitable code, it is a big help for my research.

@SolvingOptimizationProblems 4 года назад

I often use Taguchi experiment design to select the optimal parameters of the algorithm. This is GA solver in Matlab. Just install Matlab and you will have it. No need to download the code.

@imexmaven7071 4 года назад

Is Taguchi experiment design a niching method?? Sir, I want to combine GA with nicing method and get multiple soutions.

@SolvingOptimizationProblems 4 года назад

Hi, I use Taguchi method to select the optimal parameters of my genetic algorithm to maximize its performance

@nadhirmehellou9403 4 года назад

Thanks a lot,

@SolvingOptimizationProblems 4 года назад

You are most welcome

@amianifineug1353 2 года назад

Thank you lot! please I am working on structue transistor using Silvaco I want to use GA using matlab, Please how use matlab as an inteface with silvaco (Thank you)

@SolvingOptimizationProblems 2 года назад

I don't know how to connect Matlab to Silvaco

@techno-wonders 3 года назад

How to save parento front function values and variables

@SolvingOptimizationProblems 3 года назад

We can export the results to work space and then save it.

@keyrusalia6735 3 года назад

what if the function contains symbolic variable?

@SolvingOptimizationProblems 3 года назад

In this method, all variables must have some numerical values, like 2, 2.5, 8, etc. If not, we need to convert them to.

@indrajithkatkar3236 3 года назад

Are the constraints used of equality or in equality type??? And what are the design variables

@SolvingOptimizationProblems 3 года назад

Yes, for constrained problems, please check other videos on this channel. Thanks

@indrajithkatkar3236 3 года назад

@@SolvingOptimizationProblems My doubt is which type of constraints are used here?

@indrajithkatkar3236 3 года назад

@@SolvingOptimizationProblems Can u send me the link of multi objective and minimization problem solved in matlab with the point of application purporse

@SolvingOptimizationProblems 3 года назад

Here it is: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-xU1nN-Vx5Xk.html