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Teaching–learning-based optimisation algorithm and its application in capturing critical slip surface in slope stability analysis

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Abstract

The identification of ideal values for algorithm-specific parameters required for the functioning of metaheuristic approaches at their optimum performance is a difficult task. This paper presents the application of a recently proposed teaching–learning-based optimisation (TLBO) algorithm to determine the lowest factor of safety (FS) along a critical slip surface for soil slope. TLBO is a nature-inspired search algorithm based on the teaching–learning phenomenon of a classroom. Four benchmark slopes are reanalysed to test the performance of the TLBO approach. The results indicate that the present technique can detect the critical failure surface and can be easily implemented by practitioners without fine-tuning the parameters that affect the convergence of results. Statistical analyses indicate a drastic decrease in uncertainty and the number of function evaluations in the estimation of the FS over previous approaches.

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References

  • Arai K, Tagyo K (1986) Determination of noncircular slip surface giving the minimum factor of safety in slope stability analysis. Soils Found 26(3):152–154

    Google Scholar 

  • Burman A, Acharya SP, Sahay RR, Maity D (2015) A comparative study of slope stability analysis using traditional limit equilibrium method and finite element method. AJCE 16(4):467–492

    Google Scholar 

  • Cheng YM (2003) Location of critical failure surface and some further studies on slope stability analysis. Comput Geotech 30(3):255–267

    Google Scholar 

  • Cheng YM, Li L, Chi SC (2007) Performance studies on six heuristic global optimization methods in the location of critical slip surface. Comput Geotech 34(6):462–484

    Google Scholar 

  • Cheng YM, Li L, Lansivaara T, Chi SC, Sun YJ (2008) An improved harmony search minimization algorithm using different slip surface generation methods for slope stability analysis. Eng Optim 40(2):462–484

    Google Scholar 

  • C̆repins̆ek M, Liu SH, Mernik MM (2016) Is a comparison of results meaningful from the inexact replications of computational experiments? Soft Comput 20(1):223–235

    Google Scholar 

  • Dede T (2013) Optimum design of grillage structures to LRFD-AISC with teaching-learning-based optimization. Struct Multidiscipl Optim 48:955–964

    Google Scholar 

  • Di Maio C, Vallario M, Vassallo R (2012) Displacements of a large landslide in structurally complex clays. In: Procedings of XI international symposium on landslides and engineered slopes, Banff, Canada, vol1, pp 607–613

  • Donald IB (1989) Soil slope stability programs review. Association for Computer Aided Design Review, Melbourne

    Google Scholar 

  • Duncan JM (1996) State of the art: limit equilibrium and finite-element analysis of slopes. J Geotech Eng 122(7):577–595

    Google Scholar 

  • Fredlund DG, Krahn J (1977) Comparison of slope stability methods of analysis. Can Geotech J 14(3):429–439

    Google Scholar 

  • Gandomi AH, Kashani AR, Mousavi M, Jalalvandi M (2015a) Slope stability analyzing using recent swarm intelligence techniques. Int J Numer Anal Met Geomech 39(3):295–309

    Google Scholar 

  • Gandomi AH, Kashani AR, Mousavi M (2015b) Boundary constraint handling affection on slope stability analysis. In: Lagaros N, Papadrakakis M (eds) Engineering and applied sciences optimization. Computational methods in applied sciences, vol 38. Springer, Cham

    Google Scholar 

  • Gandomi AH, Kashani AR, Mousavi M, Jalalvandi M (2017) Slope stability analysis using evolutionary optimization techniques. Int J Numer Anal Met Geomech 41(2):251–264

    Google Scholar 

  • Gao W (2015) Slope stability analysis based on immunised evolutionary programming. Environ Earth Sci 74:3357–3369

    Google Scholar 

  • Gao W (2016a) Premium-penalty ant colony optimization and its application in slope stability analysis. Appl Soft Comput 43:480–488

    Google Scholar 

  • Gao W (2016b) Determination of the noncircular critical slip surface in slope stability analysis by meeting ant colony optimization. J Comput Civil Eng ASCE. https://doi.org/10.1061/(ASCE)CP.1943-5487.0000475

    Google Scholar 

  • Gao W (2017) Investigating the critical slip surface of soil slope based on an improved black hole algorithm. Soils Found 57(6):988–1001

    Google Scholar 

  • Goh ATC (2003) Genetic algorithm search for critical slip surface in multiple wedge stability analysis. Eng Optimiz 35:1–65

    Google Scholar 

  • Kahatadeniya KS, Nanakorn P, Neaupane KM (2009) Determination of the critical failure surface for slope stability analysis using ant colony optimization. Eng Geol 108(1–2):133–141

    Google Scholar 

  • Kang F, Li J, Ma Z (2013) An artificial bee colony algorithm for locating the critical slip surface in slope stability analysis. Eng Optim 45(2):207–223

    MathSciNet  Google Scholar 

  • Kashani AL, Gandomi AH, Mousavi M (2016) Imperialistic competitive algorithm: a metaheuristic algorithm for locating the critical slip surface in 2-dimensional soil slopes. Geosci Front 7(1):83–89

    Google Scholar 

  • Khajehzadeh M, Taha MR, El-Shafie A, Eslami M (2012) Locating the general failure surface of earth slopes using particle swarm optimization. Civil Eng Environ Syst 29(1):41–57

    Google Scholar 

  • Koopialipoor M, Armaghan DJ, Hedayat A, Marto A, Gordan B (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

    Google Scholar 

  • L’Heureux JS et al (2012) Identification of Weak layers and their role for the stability of slopes at Finneidfjord, Northern Norway. In: Yamada Y et al (eds) Submarine mass movements and their consequences. Advances in natural and technological hazards research, vol 31. Springer, Dordrecht

    Google Scholar 

  • Li KS, Lumb P (1987) Probabilistic design of slopes. Can Geotech J 24(4):520–535

    Google Scholar 

  • Li YC, Chen YM, Zhan LT, Ling DS, Cleall PJ (2010) An efficient approach for locating the critical slip surface in slope stability analyses using a real-coded genetic algorithm. Can Geotech J 47(7):806–820

    Google Scholar 

  • Khanduzi R, Ebrahimzadeh A, Peyghami MR (2018) A modified teaching-learning-based optimization for optimal control of Volterra integral systems. Soft Comput 22(17):5889–5899

    MATH  Google Scholar 

  • Mendes R, Cortes P, Rocha M, Neves J (2002) Particle swarms for feed forward neural net training. In: Proceedings of IEEE international joint conference on neural networks, Honolulu, HI, USA, 12-17 May 1895–1899

  • Mishra M (2017) Interaction between a slow active landslide in consistent clay and a railway tunnel. PhD thesis, University of Basilicata, Potenza, Italy

  • Mishra M, Barman SK, Maity D, Maiti DK (2019) Ant lion optimisation algorithm for structural damage detection using vibration data. J Civil Struct Health Monit 9(1):117–136

    Google Scholar 

  • Morgenstern NR, Price VE (1965) The analysis of the stability of general slip surfaces. Géotechnique 15(1):79–93

    Google Scholar 

  • Quadri IA, Bhowmick S, Joshi D (2018) A hybrid teaching-learning-based optimization technique for optimal DG sizing and placement in radial distribution systems. Soft Comput. https://doi.org/10.1007/s00500-018-3544-8

    Google Scholar 

  • Rao RV, Savsani VJ, Vakharia DP (2011) Teaching-learning-based optimization: a novel method for constrained mechanical design optimization problems. Comput Des 43:303–315

    Google Scholar 

  • Rao RV, Savsani VJ, Balic J (2012) Teaching-learning-based optimization algorithm for unconstrained and constrained real-parameter optimization problems. Eng Optim 44(12):1447–1462

    Google Scholar 

  • Savsani VJ, Ghanshyam GT, Patel VK (2016) Truss topology optimization with static and dynamic constraints using modified subpopulation teaching–learning-based optimization. Eng Optim 48(11):1990–2006

    MathSciNet  Google Scholar 

  • Spencer E (1967) A method of analysis of the stability of embankments assuming parallel inter-slice forces. Géotechnique 17(1):11–26

    Google Scholar 

  • Sun J, Salgado R, Juhnwan L (2002) Stability analysis of complex soil slopes using limit analysis. J Geotech Geoenviron Eng 128(7):546–557

    Google Scholar 

  • Sun J, Li J, Liu Q (2008) Search for critical slip surface in slope stability analysis by spline-based GA method. J Geotech Geoenviron Eng 134(2):252–256

    Google Scholar 

  • Temur R, Bekdas G (2016) Teaching learning-based optimization for design of cantilever retaining walls. Struct Eng Mech 57(4):763–783

    Google Scholar 

  • Togan V (2012) Design of planar steel frames using teaching-learning-based optimization. Eng Struct 34(22):225–232

    Google Scholar 

  • Wang HB, Xu WY, Xu XC (2005) Slope stability evaluation using back propagation neural networks. Eng Geol 80(3–4):302–315

    Google Scholar 

  • Xiao Z, Tian B, Lu X (2018) Locating the critical slip surface in a slope analysis by enhanced fireworks algorithm. Cluster Comput. https://doi.org/10.1007/s10586-017-1196-6

    Google Scholar 

  • Yamagami T, Ueta Y (1988) Search for noncircular slip surfaces by the Morgenstern-Price method. In: Proceedings of the 6th international conference on numerical methods in geomechanics, 11–15 April, Innsbruck, Austria. A.A. Balkema, Rotterdam, pp 1335–1340

  • Zheng HU, Wang H (2017) Teaching-learning-based optimization algorithm for multi-skill resource constrained project scheduling problem. Soft Comput 21(6):1537–1548

    Google Scholar 

  • Zhou XP, Cheng H (2014) Stability analysis of three-dimensional seismic landslides using the rigorous limit equilibrium method. Eng Geol 174(8):87–102

    Google Scholar 

  • Zhou X, Huang W, Liu Z, Chen H (2018) Assessment of slope stability under uncertain circumstances. Soft Comput 22(7):5735–5745

    MATH  Google Scholar 

  • Zhu DY, Lee CF, Qian QH, Zou ZS, Sun F (2001) A new procedure for computing the factor of safety using the Morgenstern-Price method. Can Geotech J 38(4):882–888

    Google Scholar 

  • Zolfaghari AR, Heath AC, McCombie PF (2005) Simple genetic algorithm search for critical non-circular failure surface in slope stability analysis. Comput Geotech 32(3):139–152

    Google Scholar 

Download references

Acknowledgements

This research work is financially supported by the research fund for the postdoctoral fellowship at Indian Institute of Technology, Kharagpur.

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Correspondence to Mayank Mishra.

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Mishra, M., Gunturi, V.R. & Maity, D. Teaching–learning-based optimisation algorithm and its application in capturing critical slip surface in slope stability analysis. Soft Comput 24, 2969–2982 (2020). https://doi.org/10.1007/s00500-019-04075-3

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