Reliability Analysis of Pile Foundation Using Soft Computing Techniques: A Comparative Study

Uncertainty and variability are inherent to pile design and consequently, there have been considerable researches in quantifying the reliability or probability of failure of structures. This paper aims at examining and comparing the applicability and adaptability of Minimax Probability Machine Regression (MPMR), Emotional Neural Network (ENN), Group Method of Data Handling (GMDH), and Adaptive Neuro-Fuzzy Inference System (ANFIS) in the reliability analysis of pile embedded in cohesionless soil and proposes an AI-based prediction method for bearing capacity of pile foundation. To ascertain the homogeneity and distribution of the datasets, Mann–Whitney U (M–W) and Anderson–Darling (AD) tests are carried out, respectively. The performance of the developed soft computing models is ascertained using various statistical parameters. A comparative study is implemented among reliability indices of the proposed models by employing First Order Second Moment Method (FOSM). The results of FOSM showed that the ANFIS approach outperformed other models for reliability analysis of bearing capacity of pile and ENN is the worst performing model. The value of R2 for all the developed models is close to 1. The best RMSE value is achieved for the training phase of the ANFIS model (0 in training and 2.13 in testing) and the poorest for the ENN (2.03 in training and 31.24 in testing) model. Based on the experimental results of reliability indices, the developed ANFIS model is found to be very close to that computed from the original data.

[1]  S. L. Lee,et al.  Reliability Analysis of Pile Settlement , 1990 .

[2]  Fred L. Collopy,et al.  Error Measures for Generalizing About Forecasting Methods: Empirical Comparisons , 1992 .

[3]  A. Casagrande,et al.  Role of the "Calculated Risk" in Earthwork and Foundation Engineering , 1965 .

[4]  K. Taylor Summarizing multiple aspects of model performance in a single diagram , 2001 .

[5]  A. M. Hasofer,et al.  Exact and Invariant Second-Moment Code Format , 1974 .

[6]  Robert E. Melchers,et al.  MULTITANGENT-PLANE SURFACE METHOD FOR RELIABILITY CALCULATION , 1997 .

[7]  Hadi Sadoghi Yazdi,et al.  Investigation on the Effect of Data Imbalance on Prediction of Liquefaction , 2013 .

[8]  John T. Christian,et al.  Geotechnical Engineering Reliability: How Well Do We Know What We Are Doing? , 2004 .

[9]  D. Legates,et al.  A refined index of model performance: a rejoinder , 2013 .

[10]  F. S. Wong,et al.  Slope Reliability and Response Surface Method , 1985 .

[11]  Pijush Samui,et al.  Modelling the energy performance of residential buildings using advanced computational frameworks based on RVM, GMDH, ANFIS-BBO and ANFIS-IPSO , 2021 .

[12]  Aminaton Marto,et al.  Predicting tunnel boring machine performance through a new model based on the group method of data handling , 2018, Bulletin of Engineering Geology and the Environment.

[13]  C A Cornell,et al.  A PROBABILITY BASED STRUCTURAL CODE , 1969 .

[14]  L. Faravelli Response‐Surface Approach for Reliability Analysis , 1989 .

[15]  Afshin Kordnaeij,et al.  Soil compaction parameters prediction using GMDH-type neural network and genetic algorithm , 2019 .

[16]  Uvais Qidwai,et al.  Fuzzy logic: A “simple” solution for complexities in neurosciences? , 2011, Surgical neurology international.

[17]  Christopher J. C. Burges,et al.  A Tutorial on Support Vector Machines for Pattern Recognition , 1998, Data Mining and Knowledge Discovery.

[18]  Mohamed Eldessouki,et al.  Adaptive neuro-fuzzy system for quantitative evaluation of woven fabrics' pilling resistance , 2015, Expert Syst. Appl..

[19]  Liborio Cavaleri,et al.  Prediction of Surface Treatment Effects on the Tribological Performance of Tool Steels Using Artificial Neural Networks , 2019, Applied Sciences.

[20]  Manolis Papadrakakis,et al.  Structural reliability analyis of elastic-plastic structures using neural networks and Monte Carlo simulation , 1996 .

[21]  Jeffrey G. Arnold,et al.  Model Evaluation Guidelines for Systematic Quantification of Accuracy in Watershed Simulations , 2007 .

[22]  Xibing Li,et al.  Structural reliability analysis for implicit performance functions using artificial neural network , 2005 .

[23]  P. Samui,et al.  Estimating Slump Flow and Compressive Strength of Self-Compacting Concrete Using Emotional Neural Networks , 2020, Applied Sciences.

[24]  Danial Jahed Armaghani,et al.  Evaluating Slope Deformation of Earth Dams Due to Earthquake Shaking Using MARS and GMDH Techniques , 2020, Applied Sciences.

[25]  Michael I. Jordan,et al.  Minimax Probability Machine , 2001, NIPS.

[26]  Caro Lucas,et al.  Learning based brain emotional intelligence as a new aspect for development of an alarm system , 2008, Soft Comput..

[27]  Ashu Jain,et al.  A comparative analysis of training methods for artificial neural network rainfall-runoff models , 2006, Appl. Soft Comput..

[28]  G. R. Dodagoudar,et al.  RELIABILITY ANALYSIS OF SLOPES USING FUZZY SETS THEORY , 2000 .

[29]  Danial Jahed Armaghani,et al.  A new development of ANFIS–GMDH optimized by PSO to predict pile bearing capacity based on experimental datasets , 2019, Engineering with Computers.

[30]  K. Phoon,et al.  Characterization of Geotechnical Variability , 1999 .

[31]  G. L. Sivakumar Babu,et al.  Reliability analysis of allowable pressure on shallow foundation using response surface method , 2007 .

[32]  Bruce R. Ellingwood,et al.  A new look at the response surface approach for reliability analysis , 1993 .

[33]  Hossein Moayedi,et al.  Prediction of Pullout Behavior of Belled Piles through Various Machine Learning Modelling Techniques , 2019, Sensors.

[34]  Pijush Samui,et al.  Performance assessment of genetic programming (GP) and minimax probability machine regression (MPMR) for prediction of seismic ultrasonic attenuation , 2013 .

[35]  Cort J. Willmott,et al.  On the Evaluation of Model Performance in Physical Geography , 1984 .

[36]  R. J. Stone Improved statistical procedure for the evaluation of solar radiation estimation models , 1993 .

[37]  Adnan Khashman,et al.  A Modified Backpropagation Learning Algorithm With Added Emotional Coefficients , 2008, IEEE Transactions on Neural Networks.

[38]  Claudia Cherubini,et al.  Probabilistic and fuzzy reliability analysis of a sample slope near Aliano , 2003 .

[39]  Ehsan Lotfi,et al.  Practical emotional neural networks , 2014, Neural Networks.

[40]  A. G. Ivakhnenko,et al.  Polynomial Theory of Complex Systems , 1971, IEEE Trans. Syst. Man Cybern..

[41]  J. Nash,et al.  River flow forecasting through conceptual models part I — A discussion of principles☆ , 1970 .

[42]  Jyh-Shing Roger Jang,et al.  ANFIS: adaptive-network-based fuzzy inference system , 1993, IEEE Trans. Syst. Man Cybern..

[43]  Mark Evans,et al.  Integration of Adaptive Neuro Fuzzy Inference Systems and principal component analysis for the control of tertiary scale formation on tinplate at a hot mill , 2014, Expert Syst. Appl..

[44]  K Hoeg,et al.  Probabilistic analysis and design of a retaining wall : J. GEOTECH. ENGNG. DIV. V100, N673, MAR. 1974, P349–P366 , 1974 .

[45]  Ralph B. Peck,et al.  Advantages and Limitations of the Observational Method in Applied Soil Mechanics , 1969 .