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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/5338
Title: A surrogate based multi-fidelity approach for robust design optimization
Authors: Chakraborty S.
Chatterjee T.
Chowdhury, Rajib
Adhikari S.
Published in: Applied Mathematical Modelling
Abstract: Robust design optimization (RDO) is a field of optimization in which certain measure of robustness is sought against uncertainty. Unlike conventional optimization, the number of function evaluations in RDO is significantly more which often renders it time consuming and computationally cumbersome. This paper presents two new methods for solving the RDO problems. The proposed methods couple differential evolution algorithm (DEA) with polynomial correlated function expansion (PCFE). While DEA is utilized for solving the optimization problem, PCFE is utilized for calculating the statistical moments. Three examples have been presented to illustrate the performance of the proposed approaches. Results obtained indicate that the proposed approaches provide accurate and computationally efficient estimates of the RDO problems. Moreover, the proposed approaches outperforms popular RDO techniques such as tensor product quadrature, Taylor's series and Kriging. Finally, the proposed approaches have been utilized for robust hydroelectric flow optimization, demonstrating its capability in solving large scale problems. ¬© 2017 Elsevier Inc.
Citation: Applied Mathematical Modelling(2017), 47(): 726-744
URI: https://doi.org/10.1016/j.apm.2017.03.040
http://repository.iitr.ac.in/handle/123456789/5338
Issue Date: 2017
Publisher: Elsevier Inc.
Keywords: Differential evolution algorithm
Polynomial correlated function expansion
Robust design optimization
Stochastic computation
ISSN: 0307904X
Author Scopus IDs: 56242780800
56226100500
10046255200
24436440900
Author Affiliations: Chakraborty, S., Department of Civil Engineering, Indian Institute of Technology Roorkee, Roorkee, India
Chatterjee, T., Department of Civil Engineering, Indian Institute of Technology Roorkee, Roorkee, India
Chowdhury, R., Department of Civil Engineering, Indian Institute of Technology Roorkee, Roorkee, India
Adhikari, S., College of Engineering, Swansea University, Singleton Park, Swansea, SA2 8PP, United Kingdom
Funding Details: SC and RC acknowledges the support of CSIR via grant no. 22(0712)/16/EMR-II. TC acknowledges the support of MHRD, Government of India.
Corresponding Author: Chakraborty, S.; Department of Civil Engineering, Indian Institute of Technology RoorkeeIndia; email: csouvik41@gmail.com
Appears in Collections:Journal Publications [CE]

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