Abstract
In this paper, a set of multiobjective engineering design problems is solved using a methodology that combines an Augmented Lagrangian technique to deal with the constraints and the Augmented Weighted Tchebycheff method to tackle the multiobjective nature of the problems to find the Pareto frontier. In order to compare and validate the performance of this strategy, the problems were also solved with gamultiobj from MATLAB™. We present the algorithm, as well as some results that seem very promising.
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Acknowledgements
This work has been supported by FCT—Fundação para a Ciência e Tecnologia within the R&D Units Project Scope: UIDB/00319/2020 and the European project MSCA-RISE-2015, NEWEX, with reference 734205.
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Costa, L., Espírito Santo, I., Oliveira, P. (2021). Solving Multiobjective Engineering Design Problems Through a Scalarized Augmented Lagrangian Algorithm (SCAL). In: Gaspar-Cunha, A., Periaux, J., Giannakoglou, K.C., Gauger, N.R., Quagliarella, D., Greiner, D. (eds) Advances in Evolutionary and Deterministic Methods for Design, Optimization and Control in Engineering and Sciences. Computational Methods in Applied Sciences, vol 55. Springer, Cham. https://doi.org/10.1007/978-3-030-57422-2_4
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