Author:
Benneouala T.,Cherruault Y.
Abstract
PurposeTo show the usefulness of the Alienor method when applied to the global optimization problems that depend on large number of variables.Design/methodology/approachThe approach is to use reducing transformations. The first is due to Cherruault and the second to Mora.FindingsIt was found that the Alienor method was very efficient and reliable in solving global optimization problems of many variables. Results produced to confirm this conclusion.Research limitations/implicationsThe numerical results presented showed that the Alienor method was suitable for finding global minimum even in the case of a very large number of variables. The research provides a new methodology for solving such problems.Practical implicationsNo other method, we believe, can obtain such results in so short a time for hundreds or even thousands of variables.Originality/valueThe new approach relies on the originality of both the Cherruault and the Mora transformations and their earlier invention of the Alienor method.
Subject
Computer Science (miscellaneous),Social Sciences (miscellaneous),Theoretical Computer Science,Control and Systems Engineering,Engineering (miscellaneous)
Reference5 articles.
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3. Cherruault, Y. (2003), “α‐dense curves and global optimization”, Kybernetes, Vol. 32 No. 3.
4. Cherruault, Y. (2005), “New reducing transformation for global optimization (with Alienor method)”, Kybernetes, Vol. 34 Nos 7/8, pp. 1084‐89.
5. Mora, G., Cherruault, Y. and Benabidallah, A. (2003), “Global optimization‐preserving‐operators”, Kybernetes, Vol. 33 Nos 9‐10.
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