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Grant support

This work was supported in part by the grant PID2021-124908NB-I00 founded by MCIN/AEI/10.13039/501100011033/and by "ERDF A way of making Europe"; by grant PRE2019-087579 funded by MCIN/AEI/10.13039/501100011033 and by "ESF Investing in your future"; and by the Generalitat Valenciana regional government through project CIAICO/2021/064. Funding for open access charge: CRUE-Universitat Politecnica de Valencia.

Analysis of institutional authors

Veyna, UCorresponding AuthorBlasco, XAuthorHerrero, J MAuthorPajares, AAuthor

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Article

Strategy for obtaining robust solutions in multi-objective design with uncertainties

Publicated to:Applied Mathematical Modelling. 138 115767- - 2025-02-01 138(), DOI: 10.1016/j.apm.2024.115767

Authors: Veyna, U; Blasco, X; Herrero, J M; Pajares, A

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Abstract

This paper proposes a novel definition of robustness for multi-objective optimization problems. This definition underpins an innovative strategy for obtaining robust solutions in the presence of uncertainty; it involves formulating the cost function under uncertainties as conflicting objectives during optimization. This approach aims to define the decision vectors that are not dominated in all scenarios simultaneously by any other. These solutions exhibit both optimality and robustness properties, aligning with conventional and unconventional multi-objective methods. This approach enables the implicit definition of the Pareto-optimal solutions for each scenario and robust solutions that optimize performance in worst-case scenarios. Additionally, the set of robust solutions that optimize the global performance concerning the utopian points of all uncertainty scenarios is also defined. To demonstrate the effectiveness of this method, this paper addresses two control design problems. The first example, a first-order process, illustrates the advantages and aspects of the optimization strategy. The second problem, multi-loop temperature control design of a proton exchange membrane fuel cell stack, is a more complex engineering problem involving results from previous research.

Keywords

MachinMulti-objective designNonlinear systemOptimizationParameter uncertaintiesRobust controlSearchSystem

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal Applied Mathematical Modelling due to its progression and the good impact it has achieved in recent years, according to the agency WoS (JCR), it has become a reference in its field. In the year of publication of the work, 2025, it was in position 22/170, thus managing to position itself as a Q1 (Primer Cuartil), in the category Mechanics.

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2025-06-04:

  • Scopus: 1

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-06-04:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 3 (PlumX).

It is essential to present evidence supporting full alignment with institutional principles and guidelines on Open Science and the Conservation and Dissemination of Intellectual Heritage. A clear example of this is:

  • The work has been submitted to a journal whose editorial policy allows open Open Access publication.

Leadership analysis of institutional authors

There is a significant leadership presence as some of the institution’s authors appear as the first or last signer, detailed as follows: First Author (Veyna Robles, Uriel) and Last Author (Pajares Ferrando, Alberto).

the author responsible for correspondence tasks has been Veyna Robles, Uriel.