Alienor method for global optimization with a large number of variables

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