NSGA–III–XGBoost-Based Stochastic Reliability Analysis of Deep Soft Rock Tunnel

How to evaluate the reliability of deep soft rock tunnels under high stress is a very important problem to be solved. In this paper, we proposed a practical stochastic reliability method based on the third-generation non-dominated sorting genetic algorithm (NSGA–III) and eXtreme Gradient Boosting (X...

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Main Authors: Jiancong Xu, Chen Sun, Guorong Rui
Format: Article
Language:English
Published: MDPI AG 2024-03-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/14/5/2127
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author Jiancong Xu
Chen Sun
Guorong Rui
author_facet Jiancong Xu
Chen Sun
Guorong Rui
author_sort Jiancong Xu
collection DOAJ
description How to evaluate the reliability of deep soft rock tunnels under high stress is a very important problem to be solved. In this paper, we proposed a practical stochastic reliability method based on the third-generation non-dominated sorting genetic algorithm (NSGA–III) and eXtreme Gradient Boosting (XGBoost). The proposed method used the Latin hypercube sampling method to generate the dataset samples of geo-mechanical parameters and adopted XGBoost to establish the model of the nonlinear relationship between displacements and surrounding rock mechanical parameters. And NSGA–III was used to optimize the surrogate model hyper-parameters. Finally, the failure probability was computed by the optimized surrogate model. The proposed approach was firstly implemented in the analysis of a horseshoe-shaped highway tunnel to illustrate the efficiency of the approach. Then, in comparison to the support vector regression method and the back propagation neural network method, the feasibility, validity and advantages of XGBoost were demonstrated for practical problems. Using XGBoost to achieve Monte Carlo simulation, a surrogate solution can be provided for numerical simulation analysis to overcome the time-consuming reliability evaluation of initial support structures in soft rock tunnels. The proposed method can evaluate quickly the large deformation disaster risks of non-circular deep soft rock tunnels.
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spelling doaj.art-4018fda3b2a847da997a53766c54f1232024-03-12T16:40:11ZengMDPI AGApplied Sciences2076-34172024-03-01145212710.3390/app14052127NSGA–III–XGBoost-Based Stochastic Reliability Analysis of Deep Soft Rock TunnelJiancong Xu0Chen Sun1Guorong Rui2Department of Geotechnical Engineering, Tongji University, Shanghai 200092, ChinaDepartment of Geotechnical Engineering, Tongji University, Shanghai 200092, ChinaChina Railway 20th Bureau Group Co., Ltd., Xi’an 710016, ChinaHow to evaluate the reliability of deep soft rock tunnels under high stress is a very important problem to be solved. In this paper, we proposed a practical stochastic reliability method based on the third-generation non-dominated sorting genetic algorithm (NSGA–III) and eXtreme Gradient Boosting (XGBoost). The proposed method used the Latin hypercube sampling method to generate the dataset samples of geo-mechanical parameters and adopted XGBoost to establish the model of the nonlinear relationship between displacements and surrounding rock mechanical parameters. And NSGA–III was used to optimize the surrogate model hyper-parameters. Finally, the failure probability was computed by the optimized surrogate model. The proposed approach was firstly implemented in the analysis of a horseshoe-shaped highway tunnel to illustrate the efficiency of the approach. Then, in comparison to the support vector regression method and the back propagation neural network method, the feasibility, validity and advantages of XGBoost were demonstrated for practical problems. Using XGBoost to achieve Monte Carlo simulation, a surrogate solution can be provided for numerical simulation analysis to overcome the time-consuming reliability evaluation of initial support structures in soft rock tunnels. The proposed method can evaluate quickly the large deformation disaster risks of non-circular deep soft rock tunnels.https://www.mdpi.com/2076-3417/14/5/2127soft rock tunnelstochastic finite difference methodreliabilityXGBoostNSGA-III
spellingShingle Jiancong Xu
Chen Sun
Guorong Rui
NSGA–III–XGBoost-Based Stochastic Reliability Analysis of Deep Soft Rock Tunnel
Applied Sciences
soft rock tunnel
stochastic finite difference method
reliability
XGBoost
NSGA-III
title NSGA–III–XGBoost-Based Stochastic Reliability Analysis of Deep Soft Rock Tunnel
title_full NSGA–III–XGBoost-Based Stochastic Reliability Analysis of Deep Soft Rock Tunnel
title_fullStr NSGA–III–XGBoost-Based Stochastic Reliability Analysis of Deep Soft Rock Tunnel
title_full_unstemmed NSGA–III–XGBoost-Based Stochastic Reliability Analysis of Deep Soft Rock Tunnel
title_short NSGA–III–XGBoost-Based Stochastic Reliability Analysis of Deep Soft Rock Tunnel
title_sort nsga iii xgboost based stochastic reliability analysis of deep soft rock tunnel
topic soft rock tunnel
stochastic finite difference method
reliability
XGBoost
NSGA-III
url https://www.mdpi.com/2076-3417/14/5/2127
work_keys_str_mv AT jiancongxu nsgaiiixgboostbasedstochasticreliabilityanalysisofdeepsoftrocktunnel
AT chensun nsgaiiixgboostbasedstochasticreliabilityanalysisofdeepsoftrocktunnel
AT guorongrui nsgaiiixgboostbasedstochasticreliabilityanalysisofdeepsoftrocktunnel