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A survey of multi-objective metaheuristics applied to structural optimization

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Abstract

In civil and industrial engineering, structural design optimization problems are usually characterized by the presence of multiple conflicting objectives, as to get the minimum investment cost and the maximum safety of the final design. This issue makes these problems to have not only one single solution, but a set them. Such solutions represent the possible trade-offs among the different objectives to be optimized. This paper reviews the latest developments in the field of multi-objective metaheuristics for solving design problems focusing on the optimization of the topology, shape, and sizing of civil engineering structures. We review both the algorithms and the applications, and the most relevant features of the solvers and the design optimization problems are analyzed. The paper ends by addressing a number of relevant and open issues that can be the subject of further research.

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Acknowledgments

The authors thank the anonymous reviewers for their valuable comments which greatly helped them to improve the contents of this paper.

The last author acknowledges support from CONACyT project no. 103570.

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Authors and Affiliations

  1. Universidad Nacional del Nordeste, Corrientes, Argentina

    Gustavo R. Zavala

  2. Departamento de Lenguajes y Ciencias de la Computación, Universidad de Málaga, Málaga, Spain

    Antonio J. Nebro

  3. Departamento de Informática, Universidad Carlos III de Madrid, Leganés, Spain

    Francisco Luna

  4. CINVESTAV-IPN Departamento de Computación, Mexico City, México

    Carlos A. Coello Coello

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  1. Gustavo R. Zavala
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  2. Antonio J. Nebro
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  3. Francisco Luna
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Correspondence to Francisco Luna.

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Zavala, G.R., Nebro, A.J., Luna, F. et al. A survey of multi-objective metaheuristics applied to structural optimization. Struct Multidisc Optim 49, 537–558 (2014). https://doi.org/10.1007/s00158-013-0996-4

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