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HLRF-BFGS-Based Algorithm for Inverse Reliability Analysis
Joint Authors
Kang, Won-Hee
Ramesh, Rakul Bharatwaj
Mirza, Olivia
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-07-17
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
This study proposes an algorithm to solve inverse reliability problems with a single unknown parameter.
The proposed algorithm is based on an existing algorithm, the inverse first-order reliability method (inverse-FORM), which uses the Hasofer Lind Rackwitz Fiessler (HLRF) algorithm.
The initial algorithm analyzed in this study was developed by modifying the HLRF algorithm in inverse-FORM using the Broyden-Fletcher-Goldarb-Shanno (BFGS) update formula completely.
Based on numerical experiments, this modification was found to be more efficient than inverse-FORM when applied to most of the limit state functions considered in this study, as it requires comparatively a smaller number of iterations to arrive at the solution.
However, to achieve this higher computational efficiency, this modified algorithm sometimes compromised the accuracy of the final solution.
To overcome this drawback, a hybrid method by using both the algorithms, original HLRF algorithm and the modified algorithm with BFGS update formula, is proposed.
This hybrid algorithm achieves better computational efficiency, compared to inverse-FORM, without compromising the accuracy of the final solution.
Comparative numerical examples are provided to demonstrate the improved performance of this hybrid algorithm over that of inverse-FORM in terms of accuracy and efficiency.
American Psychological Association (APA)
Ramesh, Rakul Bharatwaj& Mirza, Olivia& Kang, Won-Hee. 2017. HLRF-BFGS-Based Algorithm for Inverse Reliability Analysis. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-15.
https://search.emarefa.net/detail/BIM-1190398
Modern Language Association (MLA)
Ramesh, Rakul Bharatwaj…[et al.]. HLRF-BFGS-Based Algorithm for Inverse Reliability Analysis. Mathematical Problems in Engineering No. 2017 (2017), pp.1-15.
https://search.emarefa.net/detail/BIM-1190398
American Medical Association (AMA)
Ramesh, Rakul Bharatwaj& Mirza, Olivia& Kang, Won-Hee. HLRF-BFGS-Based Algorithm for Inverse Reliability Analysis. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-15.
https://search.emarefa.net/detail/BIM-1190398
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1190398