What is the best commercially available non-linear optimization problem evolutionary solver/ algorithm?
Must be freely or easily obtainable.
Not necessarily free.
relatively Easy to install and use.
Anything better than excel solver's evolutionary algorithm?
MATLAB optimization toolbox has a genetic algorithm implemented to face non linear optimization problem. Of course it's not free. You can find in the web good versions of genetic algorithms, written in C++ for example, that could be useful for your purposes. I don't know about excel solver.
follow the link
SCIP Optimization Suite - Zuse Institute Berlin
https://scip.zib.de/
genetic algorithm, just find one with a software you are familiar with and download
This question, like many others you have posted in the last few days, can all be answered in the same way: it depends on the problems you are wanting to solve.
I would suggest looking at the results of the Black Box Optimisation Benchmarks (BBOB).
There are many different algorithms that are compared and many are freely available via github, or from the authors of the codes. The tremendous advantage is that you can see how they perform on many different types of problems, some of which might be similar to what are wanting to solve in your own work. Furthermore, you won't have to trawl through reams of cloying self-assessment and self-appraisal of many commercial products which, not surprisingly, are always fulsome in praise of their own product.
@Leo Lazauskas, your answer suggests a lot of custom or customized algorithms, customized to specific problems or problem types, and i take it based on certain heuristics that match or fit the problem or problem type
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