Abstract
The aim of this research is to develop three soft-computing techniques, including adaptive-neuro-fuzzy inference system (ANFIS), genetic-programming (GP) tree-based, and simulated annealing–GP or SA–GP for prediction of the ultimate-bearing capacity (Qult) of the pile. The collected database consists of 50 driven piles properties with pile length, pile cross-sectional area, hammer weight, pile set and drop height as model inputs and Qult as model output. Many GP and SA–GP models were constructed for estimating pile bearing capacity and the best models were selected using some performance indices. For comparison purposes, the ANFIS model was also applied to predict Qult of the pile. It was observed that the developed models are able to provide higher prediction performance in the design of Qult of the pile. Concerning the coefficient of correlation, and mean square error, the SA–GP model had the best values for both training and testing data sets, followed by the GP and ANFIS models, respectively. It implies that the neural-based predictive machine learning techniques like ANFIS are not as powerful as evolutionary predictive machine learning techniques like GP and SA–GP in estimating the ultimate-bearing capacity of the pile. Besides, GP and SA–GP can propose a formula for Qult prediction which is a privilege of these models over the ANFIS predictive model. The sensitivity analysis also showed that the Qult of pile looks to be more affected by pile cross-sectional area and pile set.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
Mayerhof GG (1976) Bearing capacity and settlemtn of pile foundations. J Geotech Geoenviron Eng 102:11962
Momeni E (2012) Axial bearing capacity of piles and modelling of distribution of skin resistance with depth. Universiti Teknologi Malaysia, Johor
ASTM D 4945-13 (2013) Standard test method for high strain testing of piles. American Society for Testing and Materials
Chen C, Shi L, Shariati M et al (2019) Behavior of steel storage pallet racking connection—a review. Steel Compos Struct 30:457–469
Bunawan AR, Momeni E, Armaghani DJ, Rashid ASA (2018) Experimental and intelligent techniques to estimate bearing capacity of cohesive soft soils reinforced with soil-cement columns. Measurement 124:529–538
Khari M, Dehghanbandaki A, Motamedi S, Armaghani DJ (2019) Computational estimation of lateral pile displacement in layered sand using experimental data. Measurement 146:110–118
Hasanipanah M, Monjezi M, Shahnazar A et al (2015) Feasibility of indirect determination of blast induced ground vibration based on support vector machine. Measurement 75:289–297
Asteris P, Roussis P, Douvika M (2017) Feed-forward neural network prediction of the mechanical properties of sandcrete materials. Sensors 17:1344
Hajihassani M, Abdullah SS, Asteris PG, Armaghani DJ (2019) A gene expression programming model for predicting tunnel convergence. Appl Sci 9:4650
Asteris PG, Tsaris AK, Cavaleri L et al (2016) Prediction of the fundamental period of infilled RC frame structures using artificial neural networks. Comput Intell Neurosci 2016:20
Cavaleri L, Asteris PG, Psyllaki PP et al (2019) Prediction of surface treatment effects on the tribological performance of tool steels using artificial neural networks. Appl Sci 9:2788
Apostolopoulou M, Armaghani DJ, Bakolas A et al (2019) Compressive strength of natural hydraulic lime mortars using soft computing techniques. Procedia Struct Integr 17:914–923
Chen H, Asteris PG, Jahed Armaghani D et al (2019) Assessing dynamic conditions of the retaining wall: developing two hybrid intelligent models. Appl Sci 9:1042
Xu H, Zhou J, Asteris PG et al (2019) Supervised machine learning techniques to the prediction of tunnel boring machine penetration rate. Appl Sci 9:3715
Armaghani DJ, Hatzigeorgiou GD, Karamani C et al (2019) Soft computing-based techniques for concrete beams shear strength. Procedia Struct Integr 17:924–933
Yang HQ, Zeng YY, Lan YF, Zhou XP (2014) Analysis of the excavation damaged zone around a tunnel accounting for geostress and unloading. Int J Rock Mech Min Sci 69:59–66
Koopialipoor M, Jahed Armaghani D, Haghighi M, Ghaleini EN (2019) A neuro-genetic predictive model to approximate overbreak induced by drilling and blasting operation in tunnels. Bull Eng Geol Environ 78:981–990. https://doi.org/10.1007/s10064-017-1116-2
Yang HQ, Xing SG, Wang Q, Li Z (2018) Model test on the entrainment phenomenon and energy conversion mechanism of flow-like landslides. Eng Geol 239:119–125
Yang HQ, Li Z, Jie TQ, Zhang ZQ (2018) Effects of joints on the cutting behavior of disc cutter running on the jointed rock mass. Tunn Undergr Sp Technol 81:112–120
Zhou XP, Yang HQ (2007) Micromechanical modeling of dynamic compressive responses of mesoscopic heterogenous brittle rock. Theor Appl Fract Mech 48:1–20
Yang HQ, Lan YF, Lu L, Zhou XP (2015) A quasi-three-dimensional spring-deformable-block model for runout analysis of rapid landslide motion. Eng Geol 185:20–32
Khandelwal M, Singh TN (2013) Prediction of blast-induced ground vibration using artificial neural network. Int J Rock Mech Min Sci 46:1214–1222. https://doi.org/10.1016/j.ijrmms.2009.03.004
Khandelwal M, Armaghani DJ, Faradonbeh RS et al (2017) Classification and regression tree technique in estimating peak particle velocity caused by blasting. Eng Comput 33:45–53
Zandi Y, Shariati M, Marto A et al (2018) Computational investigation of the comparative analysis of cylindrical barns subjected to earthquake. Steel Compos Struct 28:439–447
Armaghani DJ, Mahdiyar A, Hasanipanah M et al (2016) Risk assessment and prediction of flyrock distance by combined multiple regression analysis and monte carlo simulation of quarry blasting. Rock Mech Rock Eng 49:1–11. https://doi.org/10.1007/s00603-016-1015-z
Khandelwal M, Armaghani DJ, Faradonbeh RS et al (2016) A new model based on gene expression programming to estimate air flow in a single rock joint. Environ Earth Sci 75:739
Zhou J, Li X, Shi X (2012) Long-term prediction model of rockburst in underground openings using heuristic algorithms and support vector machines. Safe Sci 50(4):629–644
Koopialipoor M, Armaghani DJ, Hedayat A et al (2018) Applying various hybrid intelligent systems to evaluate and predict slope stability under static and dynamic conditions. Soft Comput. https://doi.org/10.1007/s00500-018-3253-3
Zhou J, Li X, Mitri HS (2015) Comparative performance of six supervised learning methods for the development of models of hard rock pillar stability prediction. Natural Hazards 79(1):291–316
Zhou J, Koopialipoor M, Murlidhar BR et al (2019) Use of intelligent methods to design effective pattern parameters of mine blasting to minimize flyrock distance. Nat Resour Res. https://doi.org/10.1007/s11053-019-09519-z
Zhou J, Li E, Yang S et al (2019) Slope stability prediction for circular mode failure using gradient boosting machine approach based on an updated database of case histories. Saf Sci 118:505–518
Asteris PG, Nozhati S, Nikoo M et al (2018) Krill herd algorithm-based neural network in structural seismic reliability evaluation. Mech Adv Mater Struct 26(13):1146–53
Asteris PG, Kolovos KG (2019) Self-compacting concrete strength prediction using surrogate models. Neural Comput Appl 31:409–424
Asteris PG, Kolovos KG, Douvika MG, Roinos K (2016) Prediction of self-compacting concrete strength using artificial neural networks. Eur J Environ Civ Eng 20:s102–s122
Asteris PG, Armaghani DJ, Hatzigeorgiou GD et al (2019) Predicting the shear strength of reinforced concrete beams using artificial neural networks. Comput Concr 24:469–488
Asteris PG, Moropoulou A, Skentou AD et al (2019) Stochastic vulnerability assessment of masonry structures: concepts, modeling and restoration aspects. Appl Sci 9:243
Asteris PG, Apostolopoulou M, Skentou AD, Moropoulou A (2019) Application of artificial neural networks for the prediction of the compressive strength of cement-based mortars. Comput Concr 24:329–345
Zhou J, Li X, Mitri HS (2018) Evaluation method of rockburst: state-of-the-art literature review. Tunn Undergr Sp Technol 81:632–659
Jahed Armaghani D, Hasanipanah M, Mahdiyar A et al (2018) Airblast prediction through a hybrid genetic algorithm-ANN model. Neural Comput Appl 29:619–629. https://doi.org/10.1007/s00521-016-2598-8
Zhou J, Li E, Wang M et al (2019) Feasibility of stochastic gradient boosting approach for evaluating seismic liquefaction potential based on SPT and CPT case histories. J Perform Constr Facil 33:4019024
Wang M, Shi X, Zhou J, Qiu X (2018) Multi-planar detection optimization algorithm for the interval charging structure of large-diameter longhole blasting design based on rock fragmentation aspects. Eng Optim 50:2177–2191
Zhou J, Li X, Mitri HS (2016) Classification of rockburst in underground projects: comparison of ten supervised learning methods. J Comput Civ Eng 30:4016003
Koopialipoor M, Murlidhar BR, Hedayat A et al (2019) The use of new intelligent techniques in designing retaining walls. Eng Comput. https://doi.org/10.1007/s00366-018-00700-1
Khandelwal M, Singh TN (2009) Prediction of blast-induced ground vibration using artificial neural network. Int J Rock Mech Min Sci 46:1214–1222
Xu C, Gordan B, Koopialipoor M et al (2019) Improving performance of retaining walls under dynamic conditions developing an optimized ANN based on ant colony optimization technique. IEEE Access 7:94692–94700
Chen B, Hu T, Huang Z, Fang C (2019) A spatio-temporal clustering and diagnosis method for concrete arch dams using deformation monitoring data. Struct Heal Monit 18:1355–1371
Shao Z, Armaghani DJ, Bejarbaneh BY et al (2019) Estimating the friction angle of black shale core specimens with hybrid-ANN approaches. Measurement. https://doi.org/10.1016/j.measurement.2019.06.007
Benali A, Nechnech A (2011) Prediction of the pile capacity in purely coherent soils using the approach of the artificial neural networks. In: International seminar, innovation and valorization in civil engineering and construction materials, Rabat, Morocco, pp 23–25
Goh ATC (1996) Pile driving records reanalyzed using neural networks. J Geotech Eng 122:492–495
Pal M, Deswal S (2008) Modeling pile capacity using support vector machines and generalized regression neural network. J Geotech Geoenviron Eng 134:1021–1024
Armaghani DJ, Mohamad ET, Momeni E, Narayanasamy MS (2015) An adaptive neuro-fuzzy inference system for predicting unconfined compressive strength and Young’s modulus: a study on Main Range granite. Bull Eng Geol Environ 74:1301–1319
Padmini D, Ilamparuthi K, Sudheer KP (2008) Ultimate bearing capacity prediction of shallow foundations on cohesionless soils using neurofuzzy models. Comput Geotech 35:33–46
Momeni E, Armaghani DJ, Fatemi SA, Nazir R (2018) Prediction of bearing capacity of thin-walled foundation: a simulation approach. Eng Comput 34:319–327
Jahed Armaghani D, Hajihassani M, Monjezi M et al (2015) Application of two intelligent systems in predicting environmental impacts of quarry blasting. Arab J Geosci 8:9647–9665. https://doi.org/10.1007/s12517-015-1908-2
Armaghani DJ, Momeni E, Abad SVANK, Khandelwal M (2015) Feasibility of ANFIS model for prediction of ground vibrations resulting from quarry blasting. Environ Earth Sci 74:2845–2860. https://doi.org/10.1007/s12665-015-4305-y
Koza JR, Koza JR (1992) Genetic programming: on the programming of computers by means of natural selection. MIT Press, Cambridge
Tonnizam Mohamad E, Jahed Armaghani D, Ghoroqi M et al (2017) Ripping production prediction in different weathering zones according to field data. Geotech Geol Eng. https://doi.org/10.1007/s10706-017-0254-4
Mohamad ET, Li D, Murlidhar BR et al (2019) The effects of ABC, ICA, and PSO optimization techniques on prediction of ripping production. Eng Comput. https://doi.org/10.1007/s00366-019-00770-9
Kennedy J, Eberhart RC (1995) A discrete binary version of the particle swarm algorithm. In: 1997 IEEE international conference on systems, man, and cybernetics, 1997. Computational cybernetics and simulation. IEEE, pp 4104–4108
Hajihassani M, Jahed Armaghani D, Kalatehjari R (2017) Applications of particle swarm optimization in geotechnical engineering: a comprehensive review. Geotech Geol Eng. https://doi.org/10.1007/s10706-017-0356-z
Emamgolizadeh S, Bateni SM, Shahsavani D et al (2015) Estimation of soil cation exchange capacity using genetic expression programming (GEP) and multivariate adaptive regression splines (MARS). J Hydrol 529:1590–1600
Li W-X, Dai L-F, Hou X-B, Lei W (2007) Fuzzy genetic programming method for analysis of ground movements due to underground mining. Int J Rock Mech Min Sci 44:954–961
Baykasoğlu A, Güllü H, Çanakçı H, Özbakır L (2008) Prediction of compressive and tensile strength of limestone via genetic programming. Expert Syst Appl 35:111–123
Beiki M, Majdi A, Givshad A (2013) Application of genetic programming to predict the uniaxial compressive strength and elastic modulus of carbonate rocks. Int J Rock Mech Min Sci 63:159–169
Asadi M, Eftekhari M, Bagheripour MH (2011) Evaluating the strength of intact rocks through genetic programming. Appl Soft Comput 11:1932–1937
Karakus M (2011) Function identification for the intrinsic strength and elastic properties of granitic rocks via genetic programming (GP). Comput Geosci 37:1318–1323
Ravandi EG, Rahmannejad R, Monfared AEF, Ravandi EG (2013) Application of numerical modeling and genetic programming to estimate rock mass modulus of deformation. Int J Min Sci Technol 23:733–737
Shirani Faradonbeh R, Monjezi M, Jahed Armaghani D (2016) Genetic programing and non-linear multiple regression techniques to predict backbreak in blasting operation. Eng Comput. https://doi.org/10.1007/s00366-015-0404-3
Faradonbeh RS, Armaghani DJ, Monjezi M, Mohamad ET (2016) Genetic programming and gene expression programming for flyrock assessment due to mine blasting. Int J Rock Mech Min Sci 88:254–264
Faradonbeh RS, Jahed Armaghani D, Monjezi M (2016) Development of a new model for predicting flyrock distance in quarry blasting: a genetic programming technique. Bull Eng Geol Environ. https://doi.org/10.1007/s10064-016-0872-8
Kiefa MAA (1998) General regression neural networks for driven piles in cohesionless soils. J Geotech Geoenviron Eng 124:1177–1185
Shahin MA, Jaksa MB (2009) Intelligent computing for predicting axial capacity of drilled shafts. In: International foundation congress and equipment expo (IFCEE’09). ASCE Geotechnical Special Publications, Florida, Orlando, pp 26–33
Momeni E, Nazir R, Armaghani DJ, Maizir H (2014) Prediction of pile bearing capacity using a hybrid genetic algorithm-based ANN. Measurement 57:122–131
Moayedi H, Armaghani DJ (2018) Optimizing an ANN model with ICA for estimating bearing capacity of driven pile in cohesionless soil. Eng Comput 34:347–356
Armaghani DJ, Bin Raja RSNS, Faizi K, Rashid ASA (2017) Developing a hybrid PSO–ANN model for estimating the ultimate bearing capacity of rock-socketed piles. Neural Comput Appl 28:391–405
Harandizadeh H, Armaghani DJ, Khari M (2019) A new development of ANFIS–GMDH optimized by PSO to predict pile bearing capacity based on experimental datasets. Eng Comput. https://doi.org/10.1007/s00366-019-00849-3
Samui P (2012) Determination of ultimate capacity of driven piles in cohesionless soil: a multivariate adaptive regression spline approach. Int J Numer Anal Methods Geomech 36:1434–1439
Chen W, Sarir P, Bui X-N et al (2019) Neuro-genetic, neuro-imperialism and genetic programing models in predicting ultimate bearing capacity of pile. Eng Comput. https://doi.org/10.1007/s00366-019-00752-x
Ghorbani B, Sadrossadat E, Bazaz JB, Oskooei PR (2018) Numerical ANFIS-based formulation for prediction of the ultimate axial load bearing capacity of piles through CPT data. Geotech Geol Eng 36:2057–2076
Harandizadeh H, Toufigh MM, Toufigh V (2018) Application of improved ANFIS approaches to estimate bearing capacity of piles. Soft Comput. https://doi.org/10.1007/s00500-018-3517-y
Salgado R (2008) The engineering of foundations. McGraw-Hill, New York
Smith EAL (1960) Pile driving analysis by the wave equation. J Soil Mech ASCE 86:35–61
Goble GG, Rausche F, Moses F (1970) Dynamics studies on the bearing capacity of piles: final report to the Ohio Department of Highways. Case Western Reserve University, Cleveland
Fellenius BH (1984) Wave equation analysis and dynamic monitoring. Deep Found J 1:49–55
Link JM, Yager PM, Anjos JC et al (2005) Application of genetic programming to high energy physics event selection. Nucl Instruments Methods Phys Res Sect A Accel Spectrometers Detect Assoc Equip 551:504–527
Gandomi AH, Alavi AH (2011) Multi-stage genetic programming: a new strategy to nonlinear system modeling. Inf Sci (Ny) 181:5227–5239
García-Arnau M, Manrique D, Rios J, Rodríguez-Patón A (2006) Initialization method for grammar-guided genetic programming. In: International conference on innovative techniques and applications of artificial intelligence. Springer, pp 32–44
Gandomi AH, Alavi AH, Mirzahosseini MR, Nejad FM (2010) Nonlinear genetic-based models for prediction of flow number of asphalt mixtures. J Mater Civ Eng 23:248–263
Gandomi AH, Alavi AH, Arjmandi P et al (2010) Genetic programming and orthogonal least squares: a hybrid approach to modeling the compressive strength of CFRP-confined concrete cylinders. J Mech Mater Struct 5:735–753
Zhou J, Bejarbaneh BY, Armaghani DJ, Tahir MM (2019) Forecasting of TBM advance rate in hard rock condition based on artificial neural network and genetic programming techniques. Bull Eng Geol Environ. https://doi.org/10.1007/s10064-019-01626-8
Gandomi AH, Alavi AH, Ryan C (2015) Handbook of genetic programming applications. Springer, Berlin
Metropolis N, Rosenbluth AW, Rosenbluth MN et al (1953) Equation of state calculations by fast computing machines. J Chem Phys 21:1087–1092
Kirkpatrick S, Gelatt CD, Vecchi MP (1983) Optimization by simulated annealing. Science 220(80-):671–680
Gandomi AH, Alavi AH, Shadmehri DM, Sahab MG (2013) An empirical model for shear capacity of RC deep beams using genetic-simulated annealing. Arch Civ Mech Eng 13:354–369
Jang J-S (1993) ANFIS: adaptive-network-based fuzzy inference system. IEEE Trans Syst Man Cybern 23:665–685
Ekici BB, Aksoy UT (2011) Prediction of building energy needs in early stage of design by using ANFIS. Expert Syst Appl 38:5352–5358
Wu J-D, Hsu C-C, Chen H-C (2009) An expert system of price forecasting for used cars using adaptive neuro-fuzzy inference. Expert Syst Appl 36:7809–7817
Admuthe LS, Apte S (2010) Adaptive neuro-fuzzy inference system with subtractive clustering: a model to predict fiber and yarn relationship. Text Res J 80:841–846
Mostafavi ES, Mostafavi SI, Jaafari A, Hosseinpour F (2013) A novel machine learning approach for estimation of electricity demand: an empirical evidence from Thailand. Energy Convers Manag 74:548–555
Hossein Alavi A, Hossein Gandomi A (2011) A robust data mining approach for formulation of geotechnical engineering systems. Eng Comput 28:242–274
Kurugodu HV, Bordoloi S, Hong Y et al (2018) Genetic programming for soil-fiber composite assessment. Adv Eng Softw 122:50–61
Hasni H, Alavi AH, Jiao P, Lajnef N (2017) Detection of fatigue cracking in steel bridge girders: a support vector machine approach. Arch Civ Mech Eng 17:609–622
Fallahpour A, Olugu EU, Musa SN et al (2016) An integrated model for green supplier selection under fuzzy environment: application of data envelopment analysis and genetic programming approach. Neural Comput Appl 27:707–725
Smith GN (1986) Probability and statistics in civil engineering. Collins, London
Fallahpour A, Wong KY, Olugu EU, Musa SN (2017) A predictive integrated genetic-based model for supplier evaluation and selection. Int J Fuzzy Syst 19:1041–1057
Fallahpour A, Olugu EU, Musa SN (2017) A hybrid model for supplier selection: integration of AHP and multi expression programming (MEP). Neural Comput Appl 28:499–504
Golbraikh A, Tropsha A (2002) Beware of q2! J Mol Graph Model 20:269–276
Mollahasani A, Alavi AH, Gandomi AH (2011) Empirical modeling of plate load test moduli of soil via gene expression programming. Comput Geotech 38:281–286
Roy PP, Roy K (2008) On some aspects of variable selection for partial least squares regression models. QSAR Comb Sci 27:302–313
Mousavi SM, Mostafavi ES, Hosseinpour F (2014) Gene expression programming as a basis for new generation of electricity demand prediction models. Comput Ind Eng 74:120–128
Armaghani DJ, Mohamad ET, Narayanasamy MS et al (2017) Development of hybrid intelligent models for predicting TBM penetration rate in hard rock condition. Tunn Undergr Sp Technol 63:29–43. https://doi.org/10.1016/j.tust.2016.12.009
Gandomi AH, Yun GJ, Alavi AH (2013) An evolutionary approach for modeling of shear strength of RC deep beams. Mater Struct 46:2109–2119
Acknowledgements
This research was funded by the National Science Foundation of China (41807259) and the Natural Science Foundation of Hunan Province (2018JJ3693).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Yong, W., Zhou, J., Jahed Armaghani, D. et al. A new hybrid simulated annealing-based genetic programming technique to predict the ultimate bearing capacity of piles. Engineering with Computers 37, 2111–2127 (2021). https://doi.org/10.1007/s00366-019-00932-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00366-019-00932-9