Black-box global optimization problems subject to nonlinear constraints are considered in this contribution. To address these challenging problems, it is suggested to use the index scheme (proposed by R.G. Strongin for univariate constrained problems) with the dimensionality reduction techniques (as, for example, space-filling or diagonal curves). In particular, it is discussed how the index scheme can be implemented in the framework of ‘Divide-the-Best’ diagonal approach.
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