Application of the Strongin-Sergeyev global optimization method in the compliance minimization of latticed shells

  • Sławomir Czarnecki

Abstract

The aim of the present paper is to revisit some known truss optimization problems by applying the genuine Strongin and Sergeyev's algorithm of the global search [8]. By employing the space-filling Hilbert-Peanotype curves, the wide class of non-convex and multidimensional constrained global optimization problems is reduced to one-dimensional ones. Then, the global minimum of the objective function in one-dimensional problem can be effectively found by means of Multivariate Index Method (MIM) that can be treated as a special version of one-dimensional Global Search Algorithm (GSA) over the set of open intervals adopted to constrained problems.

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Published
Jan 25, 2017
How to Cite
CZARNECKI, Sławomir. Application of the Strongin-Sergeyev global optimization method in the compliance minimization of latticed shells. Computer Assisted Methods in Engineering and Science, [S.l.], v. 16, n. 3–4, p. 291-307, jan. 2017. ISSN 2299-3649. Available at: <https://cames.ippt.pan.pl/index.php/cames/article/view/152>. Date accessed: 26 jan. 2022.
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