What is the best way to find the optimal solution of a non convex non linear optimization problem that really constitutes finding the optimal/ best combination of one member each from a number of groups or sub populations.

Each group of sub population has a number of members that are sequences - an array of elements.

The optimal solution is given by best matching a sequence or (as) member from each group or sub population.

It is similar to recombination of evolutionary algorithms (but not entirely identical to evolutionary algorithms).

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