To show the usefulness of the Alienor method when applied to the global optimization problems that depend on large number of variables.
The approach is to use reducing transformations. The first is due to Cherruault and the second to Mora.
It 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.
The 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.
No other method, we believe, can obtain such results in so short a time for hundreds or even thousands of variables.
The new approach relies on the originality of both the Cherruault and the Mora transformations and their earlier invention of the Alienor method.
