Analytical benchmark problems and methodological framework for the assessment and comparison of multifidelity optimization methods Article Swipe
Laura Mainini
,
Andrea Serani
,
Hayriye Pehlivan Solak
,
Francesco Di Fiore
,
Markus P. Rumpfkeil
,
Edmondo Minisci
,
Domenico Quagliarella
,
Sihmehmet Yildiz
,
Simone Ficini
,
Riccardo Pellegrini
,
Andrew Thelen
,
Dean Bryson
,
Melike Nikbay
,
Matteo Diez
,
Philip S. Beran
,
Laura Mainini
,
Andrea Serani
,
Hayriye Pehlivan Solak
,
Francesco Di Fiore
,
Markus P. Rumpfkeil
,
Edmondo Minisci
,
Domenico Quagliarella
,
Sihmehmet Yildiz
,
Simone Ficini
,
Riccardo Pellegrini
,
Andrew Thelen
,
Dean Bryson
,
Melike Nikbay
,
Matteo Diez
,
Philip S. Beran
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.1007/s11831-025-10392-8
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.1007/s11831-025-10392-8
As engineering systems increase in complexity and performance demands intensify, Multidisciplinary Design Optimization (MDO) methodologies are becoming essential for integrating models from multiple disciplines to optimize complex multi-physics systems. Within this context, major challenges remain in selecting appropriate disciplinary fidelity levels, and how to couple them effectively. Multifidelity methods offer a promising path forward by strategically combining information sources of varying fidelity - whether computational or experimental - to enable efficient and scalable design exploration and optimization. Despite the development of numerous multifidelity methods, their comparative performance remains difficult to assess due to the absence of standardized benchmark frameworks capable of evaluating performance across diverse optimization tasks. To address this gap, this paper introduces a comprehensive benchmarking framework that includes: (i) a suite of analytical benchmark optimization problems designed to stress-test and validate multifidelity methods; (ii) a set of assessment metrics for quantifying and comparing performance over measurable objectives; and (iii) the classification, evaluation, and comparison of several families of multifidelity optimization methods and frameworks using the proposed benchmarks to identify their respective strengths and weaknesses in real-world scenarios. The proposed benchmark problems are analytically defined functions carefully selected to capture mathematical challenges commonly encountered in real-world applications, including high dimensionality, multimodality, discontinuities, and noise. Their closed-form nature ensures computational efficiency, high reproducibility, and a clear separation of algorithmic behavior from numerical artifacts. The accompanying performance metrics support the systematic evaluation of multifidelity methods, measuring both optimization effectiveness and global approximation accuracy. By providing a rigorous, reproducible, and accessible benchmarking framework, this work aims to enable the broader community to understand, compare, and advance multifidelity optimization methods for complex problems in science and engineering.
Related Topics
Concepts
Benchmarking
Benchmark (surveying)
Computer science
Strengths and weaknesses
Scalability
Suite
Set (abstract data type)
Multidisciplinary approach
Multidisciplinary design optimization
Optimization problem
Multi-objective optimization
Mathematical optimization
Fidelity
Engineering optimization
Robust optimization
Systems engineering
Machine learning
Path (computing)
Industrial engineering
Management science
Uncertainty quantification
Range (aeronautics)
Global optimization
Exploit
Data mining
Risk analysis (engineering)
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1007/s11831-025-10392-8
- https://link.springer.com/content/pdf/10.1007/s11831-025-10392-8.pdf
- OA Status
- hybrid
- References
- 54
- OpenAlex ID
- https://openalex.org/W7104519090
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W7104519090Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.1007/s11831-025-10392-8Digital Object Identifier
- Title
-
Analytical benchmark problems and methodological framework for the assessment and comparison of multifidelity optimization methodsWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2025Year of publication
- Publication date
-
2025-11-10Full publication date if available
- Authors
-
Laura Mainini, Andrea Serani, Hayriye Pehlivan Solak, Francesco Di Fiore, Markus P. Rumpfkeil, Edmondo Minisci, Domenico Quagliarella, Sihmehmet Yildiz, Simone Ficini, Riccardo Pellegrini, Andrew Thelen, Dean Bryson, Melike Nikbay, Matteo Diez, Philip S. Beran, Laura Mainini, Andrea Serani, Hayriye Pehlivan Solak, Francesco Di Fiore, Markus P. Rumpfkeil, Edmondo Minisci, Domenico Quagliarella, Sihmehmet Yildiz, Simone Ficini, Riccardo Pellegrini, Andrew Thelen, Dean Bryson, Melike Nikbay, Matteo Diez, Philip S. BeranList of authors in order
- Landing page
-
https://doi.org/10.1007/s11831-025-10392-8Publisher landing page
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https://link.springer.com/content/pdf/10.1007/s11831-025-10392-8.pdfDirect link to full text PDF
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YesWhether a free full text is available
- OA status
-
hybridOpen access status per OpenAlex
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https://link.springer.com/content/pdf/10.1007/s11831-025-10392-8.pdfDirect OA link when available
- Concepts
-
Benchmarking, Benchmark (surveying), Computer science, Strengths and weaknesses, Scalability, Suite, Set (abstract data type), Multidisciplinary approach, Multidisciplinary design optimization, Optimization problem, Multi-objective optimization, Mathematical optimization, Fidelity, Engineering optimization, Robust optimization, Systems engineering, Machine learning, Path (computing), Industrial engineering, Management science, Uncertainty quantification, Range (aeronautics), Global optimization, Exploit, Data mining, Risk analysis (engineering)Top concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- References (count)
-
54Number of works referenced by this work
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| primary_location.source.host_organization_name | Springer Science+Business Media |
| primary_location.source.host_organization_lineage | https://openalex.org/P4310319900 |
| primary_location.license | cc-by |
| primary_location.pdf_url | https://link.springer.com/content/pdf/10.1007/s11831-025-10392-8.pdf |
| primary_location.version | publishedVersion |
| primary_location.raw_type | journal-article |
| primary_location.license_id | https://openalex.org/licenses/cc-by |
| primary_location.is_accepted | True |
| primary_location.is_published | True |
| primary_location.raw_source_name | Archives of Computational Methods in Engineering |
| primary_location.landing_page_url | https://doi.org/10.1007/s11831-025-10392-8 |
| publication_date | 2025-11-10 |
| publication_year | 2025 |
| referenced_works | https://openalex.org/W2952495648, https://openalex.org/W2789508238, https://openalex.org/W2187169370, https://openalex.org/W2972464503, https://openalex.org/W2586938721, https://openalex.org/W1926678456, https://openalex.org/W4294042945, https://openalex.org/W4212872382, https://openalex.org/W3133657579, https://openalex.org/W2947805422, https://openalex.org/W2315231087, https://openalex.org/W2621034948, https://openalex.org/W4321381882, https://openalex.org/W3098407580, https://openalex.org/W2983281368, https://openalex.org/W3139168746, https://openalex.org/W2092398714, https://openalex.org/W1973333099, https://openalex.org/W2510279142, https://openalex.org/W3171165863, https://openalex.org/W3049519769, https://openalex.org/W3025834810, https://openalex.org/W2811395263, https://openalex.org/W3104614413, https://openalex.org/W3035274195, https://openalex.org/W2763090371, https://openalex.org/W2611574869, https://openalex.org/W2608845957, https://openalex.org/W2996933288, https://openalex.org/W4287725502, https://openalex.org/W4238866992, https://openalex.org/W2323223342, https://openalex.org/W4205457241, https://openalex.org/W2033024116, https://openalex.org/W4394869679, https://openalex.org/W4296483387, https://openalex.org/W1982886636, https://openalex.org/W2905573081, https://openalex.org/W2343616961, https://openalex.org/W2429108336, https://openalex.org/W2062873010, https://openalex.org/W2325896950, https://openalex.org/W4312672148, https://openalex.org/W3050418310, https://openalex.org/W1972209418, https://openalex.org/W4286895085, https://openalex.org/W4206658865, https://openalex.org/W2025392331, https://openalex.org/W3039186301, https://openalex.org/W4308908076, https://openalex.org/W2744517292, https://openalex.org/W2990237985, https://openalex.org/W4220674352, https://openalex.org/W2518314348 |
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