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Multi-fidelity surrogate-based optimization for microfluidic concentration gradient generator design

Haizhou Yang (Department of Mechanical Engineering, University of South Carolina, Columbia, South Carolina, USA)
Seong Hyeon Hong (Department of Mechanical Engineering, University of South Carolina, Columbia, South Carolina, USA)
Yu Qian (Department of Civil and Environmental Engineering, University of South Carolina, Columbia, South Carolina, USA)
Yi Wang (Department of Mechanical Engineering, University of South Carolina, Columbia, South Carolina, USA)

Engineering Computations

ISSN: 0264-4401

Article publication date: 31 May 2023

Issue publication date: 15 June 2023

89

Abstract

Purpose

This paper aims to present a multi-fidelity surrogate-based optimization (MFSBO) method for computationally accurate and efficient design of microfluidic concentration gradient generators (µCGGs).

Design/methodology/approach

Cokriging-based multi-fidelity surrogate model (MFSM) is constructed to combine data with varying fidelities and computational costs to accelerate the optimization process and improve design accuracy. An adaptive sampling approach based on parallel infill of multiple low-fidelity (LF) samples without notably adding computation burden is developed. The proposed optimization framework is compared with a surrogate-based optimization (SBO) method that relies on data from a single source, and a conventional multi-fidelity adaptive sampling and optimization method in terms of the convergence rate and design accuracy.

Findings

The results demonstrate that proposed MFSBO method allows faster convergence and better designs than SBO for all case studies with 49% more reduction in the objective function value on average. It is also found that parallel infill (MFSBO-4) with four LF samples, enables more robust, efficient and accurate designs than conventional multi-fidelity infill (MFSBO-1) that only adopts one LF sample during each iteration for more complex optimization problems.

Originality/value

A MFSM based on cokriging method is constructed to utilize data with varying fidelities, accuracies and computational costs for µCGG design. A parallel infill strategy based on multiple infill criteria is developed to accelerate the convergence and improve the design accuracy of optimization. The proposed methodology is proved to be a feasible method for µCGG design and its computational efficiency is verified.

Keywords

Acknowledgements

YW acknowledges the faculty startup grant from the University of South Carolina for partial funding of this research.

Citation

Yang, H., Hong, S.H., Qian, Y. and Wang, Y. (2023), "Multi-fidelity surrogate-based optimization for microfluidic concentration gradient generator design", Engineering Computations, Vol. 40 No. 4, pp. 772-792. https://doi.org/10.1108/EC-01-2022-0037

Publisher

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Emerald Publishing Limited

Copyright © 2023, Emerald Publishing Limited

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