Skip to main content
Log in

A new hybrid simulated annealing-based genetic programming technique to predict the ultimate bearing capacity of piles

  • Original Article
  • Published:
Engineering with Computers Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

References

  1. Mayerhof GG (1976) Bearing capacity and settlemtn of pile foundations. J Geotech Geoenviron Eng 102:11962

    Google Scholar 

  2. Momeni E (2012) Axial bearing capacity of piles and modelling of distribution of skin resistance with depth. Universiti Teknologi Malaysia, Johor

    Google Scholar 

  3. ASTM D 4945-13 (2013) Standard test method for high strain testing of piles. American Society for Testing and Materials

  4. Chen C, Shi L, Shariati M et al (2019) Behavior of steel storage pallet racking connection—a review. Steel Compos Struct 30:457–469

    Google Scholar 

  5. 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

    Google Scholar 

  6. 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

    Google Scholar 

  7. 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

    Google Scholar 

  8. Asteris P, Roussis P, Douvika M (2017) Feed-forward neural network prediction of the mechanical properties of sandcrete materials. Sensors 17:1344

    Google Scholar 

  9. Hajihassani M, Abdullah SS, Asteris PG, Armaghani DJ (2019) A gene expression programming model for predicting tunnel convergence. Appl Sci 9:4650

    Google Scholar 

  10. 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

    Google Scholar 

  11. 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

    Google Scholar 

  12. 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

    Google Scholar 

  13. 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

    Google Scholar 

  14. 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

    Google Scholar 

  15. Armaghani DJ, Hatzigeorgiou GD, Karamani C et al (2019) Soft computing-based techniques for concrete beams shear strength. Procedia Struct Integr 17:924–933

    Google Scholar 

  16. 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

    Google Scholar 

  17. 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

    Article  Google Scholar 

  18. 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

    Google Scholar 

  19. 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

    Google Scholar 

  20. Zhou XP, Yang HQ (2007) Micromechanical modeling of dynamic compressive responses of mesoscopic heterogenous brittle rock. Theor Appl Fract Mech 48:1–20

    Google Scholar 

  21. 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

    Google Scholar 

  22. 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

    Article  Google Scholar 

  23. 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

    Google Scholar 

  24. 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

    Google Scholar 

  25. 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

    Article  Google Scholar 

  26. 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

    Google Scholar 

  27. 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

    Google Scholar 

  28. 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

    Article  Google Scholar 

  29. 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

    Google Scholar 

  30. 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

    Article  Google Scholar 

  31. 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

    Google Scholar 

  32. 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

    Google Scholar 

  33. Asteris PG, Kolovos KG (2019) Self-compacting concrete strength prediction using surrogate models. Neural Comput Appl 31:409–424

    Google Scholar 

  34. 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

    Google Scholar 

  35. 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

    Google Scholar 

  36. Asteris PG, Moropoulou A, Skentou AD et al (2019) Stochastic vulnerability assessment of masonry structures: concepts, modeling and restoration aspects. Appl Sci 9:243

    Google Scholar 

  37. 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

    Google Scholar 

  38. Zhou J, Li X, Mitri HS (2018) Evaluation method of rockburst: state-of-the-art literature review. Tunn Undergr Sp Technol 81:632–659

    Google Scholar 

  39. 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

    Article  Google Scholar 

  40. 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

    Google Scholar 

  41. 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

    Google Scholar 

  42. 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

    Google Scholar 

  43. 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

    Article  Google Scholar 

  44. Khandelwal M, Singh TN (2009) Prediction of blast-induced ground vibration using artificial neural network. Int J Rock Mech Min Sci 46:1214–1222

    Google Scholar 

  45. 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

    Google Scholar 

  46. 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

    Google Scholar 

  47. 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

    Article  Google Scholar 

  48. 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

  49. Goh ATC (1996) Pile driving records reanalyzed using neural networks. J Geotech Eng 122:492–495

    Google Scholar 

  50. Pal M, Deswal S (2008) Modeling pile capacity using support vector machines and generalized regression neural network. J Geotech Geoenviron Eng 134:1021–1024

    Google Scholar 

  51. 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

    Google Scholar 

  52. 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

    Google Scholar 

  53. 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

    Google Scholar 

  54. 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

    Article  Google Scholar 

  55. 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

    Article  Google Scholar 

  56. Koza JR, Koza JR (1992) Genetic programming: on the programming of computers by means of natural selection. MIT Press, Cambridge

    MATH  Google Scholar 

  57. 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

    Article  Google Scholar 

  58. 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

    Article  Google Scholar 

  59. 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

  60. 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

    Article  Google Scholar 

  61. 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

    Google Scholar 

  62. 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

    Google Scholar 

  63. 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

    Google Scholar 

  64. 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

    Google Scholar 

  65. Asadi M, Eftekhari M, Bagheripour MH (2011) Evaluating the strength of intact rocks through genetic programming. Appl Soft Comput 11:1932–1937

    Google Scholar 

  66. Karakus M (2011) Function identification for the intrinsic strength and elastic properties of granitic rocks via genetic programming (GP). Comput Geosci 37:1318–1323

    Google Scholar 

  67. 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

    Google Scholar 

  68. 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

    Article  Google Scholar 

  69. 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

    Google Scholar 

  70. 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

    Article  Google Scholar 

  71. Kiefa MAA (1998) General regression neural networks for driven piles in cohesionless soils. J Geotech Geoenviron Eng 124:1177–1185

    Google Scholar 

  72. 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

    Google Scholar 

  73. 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

    Google Scholar 

  74. 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

    Google Scholar 

  75. 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

    Google Scholar 

  76. 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

    Article  Google Scholar 

  77. 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

    Google Scholar 

  78. 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

    Article  Google Scholar 

  79. 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

    Google Scholar 

  80. 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

    Article  Google Scholar 

  81. Salgado R (2008) The engineering of foundations. McGraw-Hill, New York

    Google Scholar 

  82. Smith EAL (1960) Pile driving analysis by the wave equation. J Soil Mech ASCE 86:35–61

    Google Scholar 

  83. 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

    Google Scholar 

  84. Fellenius BH (1984) Wave equation analysis and dynamic monitoring. Deep Found J 1:49–55

    Google Scholar 

  85. 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

    Google Scholar 

  86. Gandomi AH, Alavi AH (2011) Multi-stage genetic programming: a new strategy to nonlinear system modeling. Inf Sci (Ny) 181:5227–5239

    Google Scholar 

  87. 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

  88. 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

    Google Scholar 

  89. 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

    Google Scholar 

  90. 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

    Article  Google Scholar 

  91. Gandomi AH, Alavi AH, Ryan C (2015) Handbook of genetic programming applications. Springer, Berlin

    Google Scholar 

  92. Metropolis N, Rosenbluth AW, Rosenbluth MN et al (1953) Equation of state calculations by fast computing machines. J Chem Phys 21:1087–1092

    MATH  Google Scholar 

  93. Kirkpatrick S, Gelatt CD, Vecchi MP (1983) Optimization by simulated annealing. Science 220(80-):671–680

    MathSciNet  MATH  Google Scholar 

  94. 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

    Google Scholar 

  95. Jang J-S (1993) ANFIS: adaptive-network-based fuzzy inference system. IEEE Trans Syst Man Cybern 23:665–685

    Google Scholar 

  96. Ekici BB, Aksoy UT (2011) Prediction of building energy needs in early stage of design by using ANFIS. Expert Syst Appl 38:5352–5358

    Google Scholar 

  97. 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

    Google Scholar 

  98. 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

    Google Scholar 

  99. 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

    Google Scholar 

  100. Hossein Alavi A, Hossein Gandomi A (2011) A robust data mining approach for formulation of geotechnical engineering systems. Eng Comput 28:242–274

    MATH  Google Scholar 

  101. Kurugodu HV, Bordoloi S, Hong Y et al (2018) Genetic programming for soil-fiber composite assessment. Adv Eng Softw 122:50–61

    Google Scholar 

  102. 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

    Google Scholar 

  103. 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

    Google Scholar 

  104. Smith GN (1986) Probability and statistics in civil engineering. Collins, London

    Google Scholar 

  105. 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

    MathSciNet  Google Scholar 

  106. 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

    Google Scholar 

  107. Golbraikh A, Tropsha A (2002) Beware of q2! J Mol Graph Model 20:269–276

    Google Scholar 

  108. 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

    Google Scholar 

  109. Roy PP, Roy K (2008) On some aspects of variable selection for partial least squares regression models. QSAR Comb Sci 27:302–313

    Google Scholar 

  110. 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

    Google Scholar 

  111. 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

    Article  Google Scholar 

  112. Gandomi AH, Yun GJ, Alavi AH (2013) An evolutionary approach for modeling of shear strength of RC deep beams. Mater Struct 46:2109–2119

    Google Scholar 

Download references

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

Authors

Corresponding author

Correspondence to Danial Jahed Armaghani.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

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

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00366-019-00932-9

Keywords

Navigation