I have a code here for a multi-objective optimization using python Gekko Library.
The algorithm I have implemented is Augmented Epsilon Constraint 2.
However, The algorithm freezes at a point and don’t move forward. In the meantime it does not gives an error. Please can someone fix this problem?
Firstly, welcome to the forums.
While we are primarily here to help people with their Free Code Camp progress, we are open to people on other paths, too.
With your current questions, we don’t have enough context to know what you already know or don’t know, so it is impossible to guide you without just telling you the answer (which we won’t do).
It is pretty typical on here for people to share a codepen / repl.it / jsfiddle example of what they have tried so that anyone helping has more of an idea of what help is actually helpful.
Please provide some example of what you’ve tried and I’m sure you’ll get more help.
Happy coding 
Like Sky said, we need to see the code. But without any knowledge I’d guess that you have an issue with setting the parameters or your problem formulation. This is a guess from my understanding of numerical solvers in general rather than this method in particular.