Efficiency of the variable fidelity design optimization method with variable complexity models

Authors

  • Gilberto Mejía Rodríguez Centro de Investigación y Estudios de Posgrado, Facultad de Ingeniería Universidad Autónoma de San Luis Potosí, San Luis Potosí, 78290, México

DOI:

https://doi.org/10.30973/progmat/2015.7.1/7

Keywords:

Scaling methods, Different degree of nonlinearity, Different number of design variables, Variable fidelity

Abstract

The goal of this investigation is to provide a deeper understanding about a variable fidelity optimization algorithm and some scaling methods through three test problems. The first two problems are analytic, and the third one is a structural optimization problem. The test problems have been specifically constructed to look for insights regarding the use in the algorithm of models (high fidelity and low fidelity models) with different degree of nonlinearity and different number of design variables. Performance of the variable fidelity framework for first order and second order scaling methods (multiplicative and additive), is compared to a standard sequential quadratic programming optimization performed on the high fidelity model. The main contributions of this investigation are the insights gained with the specifically constructed test problems, which can be extended to other problems, about the use of a trust region variable fidelity framework, and the choice of the most suitable scaling methods depending on the case study at hand. In addition, results show how a reduction in the design cycle time can be obtained, by reducing the number of high fidelity function calls while achieving convergence.

Author Biography

Gilberto Mejía Rodríguez, Centro de Investigación y Estudios de Posgrado, Facultad de Ingeniería Universidad Autónoma de San Luis Potosí, San Luis Potosí, 78290, México

Gilberto Mejía Rodríguez was born in San Luis Potosí, México, on October 11, 1981. He received his M.S., and Ph.D. degrees in 2007 and 2010 respectively, from the University of Notre Dame, Indiana, United States of America. He is member of the National System of Researchers from CONACYT - México. His research interests include design optimization and automation, structural optimization, materials design optimization and computational mechanics. In addition to research activities, he teaches in undergraduate and graduate programs, and serves as thesis advisor in these programs, and also offers technical consulting to companies in the region.

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Published

2015-02-28

How to Cite

Mejía Rodríguez, G. (2015). Efficiency of the variable fidelity design optimization method with variable complexity models. Programación Matemática Y Software, 7(1), 45–57. https://doi.org/10.30973/progmat/2015.7.1/7

Issue

Vol. 7 No. 1 (2015): February, 2015

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Articles

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