The existence of ॅ‐dense curves with minimal length in a metric space

The existence of ॅ‐dense curves with minimal length in a metric space Some results concerning the existence of ॅ‐dense curves with minimal length are given. This type of curves used in the reducing transformation called Alienor was invented by Cherruault and Guillez. They have been applied to global optimization in the following way: a multivariable optimization problem is transformed in an optimization problem depending on a single variable. Then this idea was extended by Cherruault and his team for obtaining general classes of reducing transformations having minimal properties (length of the ॅ‐dense curves, minimization of the calculus time, etc.). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Kybernetes Emerald Publishing

The existence of ॅ‐dense curves with minimal length in a metric space

Kybernetes, Volume 29 (2): 12 – Mar 1, 2000

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Publisher
Emerald Publishing
Copyright
Copyright © 2000 MCB UP Ltd. All rights reserved.
ISSN
0368-492X
DOI
10.1108/03684920010312803
Publisher site
See Article on Publisher Site

Abstract

Some results concerning the existence of ॅ‐dense curves with minimal length are given. This type of curves used in the reducing transformation called Alienor was invented by Cherruault and Guillez. They have been applied to global optimization in the following way: a multivariable optimization problem is transformed in an optimization problem depending on a single variable. Then this idea was extended by Cherruault and his team for obtaining general classes of reducing transformations having minimal properties (length of the ॅ‐dense curves, minimization of the calculus time, etc.).

Journal

KybernetesEmerald Publishing

Published: Mar 1, 2000

Keywords: Cybernetics; Dense curves; Global optimization

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