Application of the Strongin-Sergeyev global optimization method in the compliance minimization of latticed shells. (Received in the final form January 18, 2010)
Journal Title: Computer Assisted Methods in Engineering and Science - Year 2009, Vol 16, Issue 3
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.
Authors and Affiliations
Sławomir Czarnecki
Keywords
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