Optimization by space-densifying curves as a natural generalization of the Alienor method

Author: Mora Gaspar  

Publisher: Emerald Group Publishing Ltd

ISSN: 0368-492X

Source: Kybernetes: The International Journal of Systems & Cybernetics, Vol.29, Iss.5-6, 2000-07, pp. : 746-754

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

The Alienor method offers a powerful approximation technique for the optimization of continuous multivariable functions defined on a compact set H of Rn. Its computational efficiency is completed by the fact that it gave rise to the theory of space-densifying curves. Presents a survey of these curves, analysing their most important properties and characteristics. Finally, the concept of theoretic calculation time (t.c.t.) associated with each curve suggests an interesting geometric problem on the existence of a curve with minimal t.c.t.

Related content