Abstract
The decision-maker (engineer, physicist, chemist, economist, etc.) frequently wants to find the best combination of a set of parameters (geometrical sizes, electrical and strength characteristics, etc.) describing a particular optimization model which provides the optimum (minimum or maximum) of a suitable objective function. Black-box multiextremal continuous problems with Lipschitz objective functions and functions having the first Lipschitz derivatives over hyperintervals are taken into consideration. The problem under study is comprehensively described and illustrated in this Chapter where different approaches for its solution are also surveyed.
A problem well stated is a problem half solved.
Charles F. Kettering
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Sergeyev, Y.D., Kvasov, D.E. (2017). Lipschitz Global Optimization. In: Deterministic Global Optimization. SpringerBriefs in Optimization. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-7199-2_1
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DOI: https://doi.org/10.1007/978-1-4939-7199-2_1
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Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4939-7197-8
Online ISBN: 978-1-4939-7199-2
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