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Reliability Analysis Based on Artificial Bee Colony (ABC) and Its Application in Geotechnical Engineering



Hongbo Zhao*, Changxing Zhu, Zhongliang Ru
School of Civil Engineering, Henan Polytechnic University, Jiaozuo 454003, China


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Creative Commons License
© 2018 Zhao et al.

open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: (https://creativecommons.org/licenses/by/4.0/legalcode). This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

* Address correspondence to this author at the School of Civil Engineering, Henan Polytechnic University, Jiaozuo 454003, China; Tel: 86-391-3987584; E-mail: bxhbzhao@hotmail.com


Abstract

Introduction:

Reliability analysis is a good tool to deal with the uncertainty and has been widely used in the engineering system. The first order reliability method (FORM) is generally used to calculate the reliability index but FORM is time-consuming and requires derivative computing.

Methods:

Artificial Bee Colony (ABC) algorithm is a very simple, robust and population-based stochastic optimization algorithm. In this study, an ABC-based reliability analysis was proposed to calculate the reliability index of engineering system through combining Artificial Bee Colony (ABC) algorithm with FORM. FORM was adopted to calculate the reliability index and design point. ABC is used to solve the constrained optimization about FORM. The procedure of ABC-based reliability analysis was presented in detail.

Results and Conclusion:

The proposed method was verified by two classic examples and then applied to geotechnical engineering. The results show that the ABC algorithm can effectively solve the global optimization problem in FORM. Results demonstrate that ABC-based reliability analysis is a good approach to obtain the reliability index and design point with a good accuracy so that it can be applied to analyze the reliability of a complex engineering system.

Keywords: Reliability analysis, First order reliability method, Artificial bee colony, Geotechnical engineering, MCS, PSO.