Int. J. Simul. Multidisci. Des. Optim.
Volume 3, Number 4, December 2009
|Page(s)||424 - 431|
|Published online||20 July 2011|
An efficient optimization method to obtain the set of most promising minima in multimodal problems
Department of Mechanical Engineering, University of
Oviedo. Campus de Viesques, 33204 Gijón, Asturias, Spain
Corresponding author: firstname.lastname@example.org
Accepted: 27 September 2009
This paper propounds a new evolution strategy, the Discrete Directions Mutation Evolution Strategy (DDM-ES), with the aim of obtaining the set of most promising minima in multimodal functions and making this process as efficient as possible. First, DDM-ES is compared with a Genetic Algorithm (GA) on two scaleable test functions with 5, 10, 15 and 20 dimensions, showing better behaviour than GA when the objective function is unimodal but not being as global as the GA in highly multimodal ones. Later, the multimodal search nature of DDM-ES is shown applying this ES on two functions with multiple minima. Finally, an application of DDM-ES to the problem of the initial position of a mechanism is shown.
Key words: Evolution strategy / Multimodal function / Mechanisms / Initial position problem
© ASMDO, 2009
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