76 citations · 631 across the 35 of their papers we have counts for
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math.OC2015★ 76 cited
Deterministic approaches for solving practical black-box global optimization problems
Dmitri E. Kvasov, Yaroslav D. Sergeyev
In many important design problems, some decisions should be made by finding the global optimum of a multiextremal objective function subject to a set of constrains. Frequently, esp…
math.OC2015★ 73 cited
A deterministic global optimization using smooth diagonal auxiliary functions
Yaroslav D. Sergeyev, Dmitri E. Kvasov
In many practical decision-making problems it happens that functions involved in optimization process are black-box with unknown analytical representations and hard to evaluate. In…
math.OC2015★ 45 cited
Deterministic global optimization using space-filling curves and multiple estimates of Lipschitz and Holder constants
Daniela Lera, Yaroslav D. Sergeyev
In this paper, the global optimization problem with being a hyperinterval in and satisfying the Lipschitz condition with an unknown Lipschit…