Global optimization: A new variant of the Alienor method

The multidimensional Alienor global optimization method has been elaborated in the 1980s by Cherruault and Guillez. It has been used, among other possibilities, for identification of mathematical models. Many interesting results have been obtained [1–3]. In this paper, we present a new variant of Alienor. It uses an α-dense curve with a small length and it has a quite simple parametrical representation. This variant has been coupled with the Evtushenko algorithm for decreasing the time required to obtain the global minimum.