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2021 | OriginalPaper | Chapter

A Variational Approach for the Determination of Continuous Pareto Frontier for Multi-objective Problems

Authors : Hafid Zidani, Rachid Ellaia, Edouardo Souza De Cursi

Published in: Proceedings of the 5th International Symposium on Uncertainty Quantification and Stochastic Modelling

Publisher: Springer International Publishing

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Abstract

In this paper, a novel approach is proposed to generate set of Pareto points to represent the optimal solutions along the Pareto frontier. This approach, which introduces a new definition of dominance, can be interpreted as a representation of the solution of the multi-objective optimization under the form of the solution of a problem in variational calculus. The method deals with both convex and non-convex problems. In order to validate the method, multi-objective numerical optimization problems are considered.

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previous chapter Time-Variant Reliability-Based Optimization with Double-Loop Kriging Surrogates
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Metadata
Title
A Variational Approach for the Determination of Continuous Pareto Frontier for Multi-objective Problems
Authors
Hafid Zidani
Rachid Ellaia
Edouardo Souza De Cursi
Copyright Year
2021
Book
Proceedings of the 5th International Symposium on Uncertainty Quantification and Stochastic Modelling

Print ISBN: 978-3-030-53668-8

Electronic ISBN: 978-3-030-53669-5

Copyright Year: 2021

DOI
https://doi.org/10.1007/978-3-030-53669-5_33