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A novel multi-objective optimization method with local search scheme using shuffled complex evolution applied to mechanical engineering problems

Fran Sérgio Lobato (School of Chemical Engineering, Federal University of Uberlândia, Uberlândia, Brazil)
Gustavo Barbosa Libotte (Department of Computational Modeling, Polytechnic Institute, Rio de Janeiro State University, Nova Friburgo, Brazil)
Gustavo Mendes Platt (School of Chemistry and Food, Federal University of Rio Grande, Santo Antônio da Patrulha, Brazil)

Engineering Computations

ISSN: 0264-4401

Article publication date: 18 August 2022

Issue publication date: 23 August 2022

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Abstract

Purpose

In this work, the multi-objective optimization shuffled complex evolution is proposed. The algorithm is based on the extension of shuffled complex evolution, by incorporating two classical operators into the original algorithm: the rank ordering and crowding distance. In order to accelerate the convergence process, a Local Search strategy based on the generation of potential candidates by using Latin Hypercube method is also proposed.

Design/methodology/approach

The multi-objective optimization shuffled complex evolution is used to accelerate the convergence process and to reduce the number of objective function evaluations.

Findings

In general, the proposed methodology was able to solve a classical mechanical engineering problem with different characteristics. From a statistical point of view, we demonstrated that differences may exist between the proposed methodology and other evolutionary strategies concerning two different metrics (convergence and diversity), for a class of benchmark functions (ZDT functions).

Originality/value

The development of a new numerical method to solve multi-objective optimization problems is the major contribution.

Keywords

Acknowledgements

The authors would like to acknowledge financial and technical support from CNPq.

Funding: This study was financed in part by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior—Brasil (CAPES)—Finance Code 001.

Conflict of interest: The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be constructed as a potential conflict of interest. The authors have no affiliation with any organization with a direct or indirect financial interest in the subject matter discussed in the manuscript.

Citation

Lobato, F.S., Libotte, G.B. and Platt, G.M. (2022), "A novel multi-objective optimization method with local search scheme using shuffled complex evolution applied to mechanical engineering problems", Engineering Computations, Vol. 39 No. 8, pp. 2958-2989. https://doi.org/10.1108/EC-07-2021-0381

Publisher

:

Emerald Publishing Limited

Copyright © 2022, Emerald Publishing Limited

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