I want to use genetic algorithm for minimizing the above function where $x_1,x_2,y_1,y_2 \in \mathbb{R}$. Is it possible to find a local/approximate solutions using metaheuristics such as genetic algorithms? Or what are the methods can we use to optimize non-convex optimization functions provided approximate(not global minimum/maximum) solutions are acceptable?

  • $\begingroup$ What are the restrictions on the variables? $\endgroup$ – marty cohen Mar 4 '18 at 5:45
  • $\begingroup$ $x_1,x_2,y_1,y_2 \in \mathbb{R}$ $\endgroup$ – thesukantadey Mar 4 '18 at 6:06

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