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Title of Article

EFFICIENCY ESTIMATIONS OF PARALLEL INDEX METHOD OF GLOBAL OPTIMIZATION


Issue
3
Date
2011

Article type
scientific article
UDC
519.853.4
Pages
13-19
Keywords
multiextremal optimization, nonconvex constraints, Peano space-filling curves, parallel algorithms, efficiency


Authors
Barkalov Konstantin Aleksandrovich
Nizhegorodskiy gosuniversitet im. N.I. Lobachevskogo


Abstract
A parallel algorithm for solving multiextremal problems with nonconvex constraints is considered. It is based on the reduction of a multidimensional problem to a set of related one-dimensional ones. The dimension reduction scheme is based on Peano-type space-filling curves mapping, the information about proximity of the points in the multidimensional space being preserved in a one-dimensional address space. The algorithm efficiency in multi-dimensional mapping constructions has been illustrated by the results of numerical experiments.

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