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Benchmarking constrained surrogate-based optimization on low speed airfoil design problems
Palar P.S.a, Dwianto Y.B.b, Regis R.G.c, Oyama A., Zuhal L.R.a
a Faculty of Mechanical and Aerospace Engineering, Institut Teknologi Bandung, Bandung, Indonesia
b Department of Aeronautics and Astronautics, University of Tokyo, Tokyo, Japan
c Department of Mathematics, Saint Joseph’s University, Philadelphia, United States
d Institute of Space and Astronautical Science, JAXA, Kanagawa, Japan
[vc_row][vc_column][vc_row_inner][vc_column_inner][vc_separator css=”.vc_custom_1624529070653{padding-top: 30px !important;padding-bottom: 30px !important;}”][/vc_column_inner][/vc_row_inner][vc_row_inner layout=”boxed”][vc_column_inner width=”3/4″ css=”.vc_custom_1624695412187{border-right-width: 1px !important;border-right-color: #dddddd !important;border-right-style: solid !important;border-radius: 1px !important;}”][vc_empty_space][megatron_heading title=”Abstract” size=”size-sm” text_align=”text-left”][vc_column_text]© 2019 Association for Computing Machinery.In this paper, we investigated and compared the performance of various constrained surrogate-based optimization (SBO) techniques on solving low-fidelity, low-speed airfoil design problems. We aim to better understand the strengths and weakness of various constrained SBO algorithms on handling non-algebraic real-world problems. Low-fidelity problems are chosen since they allow us to perform multiple independent runs of optimization algorithms, but still in the domain of non-algebraic real-world problems. To be specific, the optimization methods that we compared are Kriging-based efficient global optimization (EGO) with the probability of feasibility (PoF), ConstrLMSRBF, COBRA, and COBYLA. Results on four airfoil design problems show that ConstrLMSRBF is the most robust method in terms of convergence and consistency of performance. On the other hand, EGO-PoF found high-quality solutions on two airfoil problems, but its robustness decreases as the dimensionality increases. We also observe that COBRA is significantly better than EGO-PoF on one high-dimensionality problem, but its general performance is not as good as that of ConstrLMSRBF. Finally, COBYLA is the worst performer, which implies that methods based on linear interpolation are not accurate for the problems considered in this paper.[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Author keywords” size=”size-sm” text_align=”text-left”][vc_column_text]Airfoil design,Efficient global optimization,High dimensionality,High-quality solutions,Linear Interpolation,Low speed,Optimization algorithms,Surrogate-based optimization[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Indexed keywords” size=”size-sm” text_align=”text-left”][vc_column_text]Airfoil design,Low speed,Surrogate-based optimization[/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”Funding details” size=”size-sm” text_align=”text-left”][vc_column_text][/vc_column_text][vc_empty_space][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][vc_empty_space][megatron_heading title=”DOI” size=”size-sm” text_align=”text-left”][vc_column_text]https://doi.org/10.1145/3319619.3326829[/vc_column_text][/vc_column_inner][vc_column_inner width=”1/4″][vc_column_text]Widget Plumx[/vc_column_text][/vc_column_inner][/vc_row_inner][/vc_column][/vc_row][vc_row][vc_column][vc_separator css=”.vc_custom_1624528584150{padding-top: 25px !important;padding-bottom: 25px !important;}”][/vc_column][/vc_row]