A study of Nash-evolutionary algorithms for reconstruction inverse problems in structural engineering

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Abstract

In this paper we deal with solving inverse problems in structural engineering (both the reconstruction inverse problem and the fully stressed design problem are considered). We apply a game-theory based Nash-evolutionary algorithm and compare it with the standard panmictic evolutionary algorithm. The procedure performance is analyzed on a ten bar sized test case of discrete real cross-section types structural frame, where a significant increase of performance is achieved using the Nash approach, even achieving super-linear speed-up.

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Greiner, D., Périaux, J., Emperador, J. M., Galván, B., & Winter, G. (2015). A study of Nash-evolutionary algorithms for reconstruction inverse problems in structural engineering. In Computational Methods in Applied Sciences (Vol. 36, pp. 321–333). Springer Science and Business Media B.V. https://doi.org/10.1007/978-3-319-11541-2_21

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