Abstract
In geotechnical engineering, investigation of seismic earth pressure coefficient is a fundamental theme of study for retaining wall. During this study, the seismal active earth pressure coefficient on the rear of the wall supporting c − Φ backfill has been formulated by the help of limit equilibrium method. This type of problems is highly complex nonlinear optimization problems. Therefore, it will very be difficult to analyze the problem using classical optimization techniques. A hybrid algorithm called hDEBSA has been discussed in the present study which was proposed by joining the parts of DE with the segments of BSA calculation to investigation the pseudo-static seismic dynamic earth pressure coefficient. In hDEBSA, a modification of parameter of DE and BSA has been performed through self-adaption-based. The proficiency of the hDEBSA has been checked through CEC2014 test functions and applied to analyze the coefficient of seismic active earth pressure on the rear of the retaining wall supportive \(c -\Phi\) backfill. The result obtained by this algorithm is compared with state-of-the-art other algorithms and are found to be in agreement. The achieved results of active earth pressure coefficient are in contrast with different results available found in the literature. Additionally, the impact of seismic parameters, soil and wall parameters on the earth pressure coefficient has been investigated.
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References
Holland, J.H.: Adaptation in natural and artificial systems. University of Michigan Press (1975)
Storn, R., Price, K.: Differential evolution—a simple and efficient heuristic for global optimization over continuous spaces. J. Global Optim. 11(4), 341–359 (1997)
Eberhart, R., Shi, Y.: Particle swarm optimization: developments, applications and resources in evolutionary computation. Proc. 2001 Congr. 81, 81–86 (2001)
Shi, Y., Eberhart R.: A modified particle swarm optimizer. In: Evolutionary Computation Proceedings, IEEE World Congress on Computational Intelligence (1998)
Akay, B., Karaboga, D.: Artificial bee colony algorithm for large-scale problem and engineering design optimization. J. Intell. Manuf. 23, 1001–1014 (2012)
Lee, K.S.: Geem ZW (2005) A new meta-heuristic algorithm for continuous engineering optimization: harmony search theory and practice. Comput. Methods. Appl. Mech. Eng. 194, 3902–3933 (2005)
Mahdavi, M., Fesanghary, M., Damangir, E.: An improved harmony search algorithm for solving optimization problems. Appl. Math. Comput. 188, 1567–1579 (2007)
Civicioglu, P.: Backtracking search optimization algorithm for numerical optimization problems. Appl. Math. Comput. 219(15), 8121–8144 (2013)
Rashedi, E., Nezamabadi-pour, H., Saryazdi, S.: GSA: a gravitational search algorithm. Inf. Sci. 179, 2232–2248 (2009)
Liang, J.J., Qin, A.K., Suganthan, P.N., Baskar, S.: Comprehensive learning particle swarm optimizer for global optimization of multimodal functions. IEEE Trans. Evol. Comput. 10(3), 281 (2006)
van den Bergh, F., Engelbrecht, A.P.: A cooperative approach to particle swarm optimization. IEEE Trans. Evol. Comput. 8, 225–239 (2004)
Mendes, R., Kennedy, J., Neves, J.: The fully informed particle swarm: simpler, may be better. IEEE Trans. Evol. Comput. 8, 204–210 (2004)
Parsopoulos, K.E., Vrahatis, M.N.: UPSO—a unified particle swarm optimization scheme. Lect. Ser. Comput. Sci. 1, 868–873 (2004)
Nasir, Md, Das, S., Maity, D., Sengupta, S., Halder, U., Suganthan, P.N.: A dynamic neighborhood learning based particle swarm optimizer for global numerical optimization. Inf. Sci. 209, 16–36 (2012)
Nama, S., Saha, A.K., Ghosh, S.: Improved symbiotic organisms search algorithm for solving unconstrained function optimization. Decis. Sci. Lett. 5(3), 361–380 (2016)
Nama, S., Saha, A.K., Ghosh, S.: Improved backtracking search algorithm for pseudo dynamic active earth pressure on retaining wall supporting c − Ф backfill. Appl. Soft Comput. 52, 885–897 (2017)
Nama, S., Saha, A.K.: An ensemble symbiosis organisms search algorithm and its application to real world problems. Decis. Sci. Lett. 7(2), 103–118 (2018)
Ezugwu, A.E., Els, R., Fonou-Dombeu, J.V., Naidoo, D., Pillay, K.: Parallel symbiotic organisms search algorithm. In: Misra, S. et al. (eds) Computational Science and Its Applications—ICCSA 2019. ICCSA 2019. Lecture Notes in Computer Science, vol. 11623. Springer, Cham (2019)
Mirjalili, S., Mohd Hashim, S.Z.: A new hybrid PSOGSA algorithm for function optimization. In: International Conference on Computer and Information Application (ICCIA 2010) (2010)
Pant, M., Thangaraj, R., Abraham, A.: A new PSO algorithm with crossover operator for global optimization problems. Innov. Hybr. Intell. Syst. ASC 44, 215–222 (2007)
Zhang, L., Li, H., Jiao, Y.-C., Zhang, F.-S.: Hybrid Differential Evolution and the Simplified Quadratic Interpolation For Global Optimization, Copyright is held by the author/owner(s). GEC’09, June 12–14, 2009, Shanghai, China. ACM 978-1-60558-326-6/09/06 (2009)
Pant, M., Thangaraj, R.: DE-PSO: a new hybrid meta-heuristic for solving global optimization problems. New Mathem. Nat. Comput. 7(3), 363–381 (2011)
Nama, S., Saha, A.K., Ghosh, S.: A new ensemble algorithm of differential evolution and backtracking search optimization algorithm with adaptive control parameter for function optimization. Int. J. Ind. Eng. Comput. 7(2), 323–338 (2016)
Nama, S., Saha, A.K., Ghosh, S.: A hybrid symbiosis organisms search algorithm and its application to real world problems. Memet. Comput. 9(3), 261–280 (2017)
Nama, S., Saha, A.K.: A new hybrid differential evolution algorithm with self-adaptation for function optimization. Appl. Intell. 48(7), 1657–1671 (2018)
Nama, S., Saha, A.K.: A novel hybrid backtracking search optimization algorithm for continuous function optimization. Decis. Sci. Lett. 8(2), 163–174 (2019)
Bolton, H.P.J., Heymann, G., Groenwold, A.: Global search for critical failure surface in slope stability analysis. Eng. Optim. 35, 51–65 (2003)
Cheng, Y.M.: Global optimization analysis of slope stability by simulated annealing method with dynamic bounds and “dirac function”. Eng. Optim. 39(1), 17–32 (2007)
Das S.K.: Slope Stability Analysis Using Genetic Algorithm. EJGE paper 2005-0504, (2014)
Deb, K., Goyal, M.: Optimizing engineering designs using combined genetic search. In: Proceedings of Seventh International Conference on Genetic Algorithms, pp. 512–28 (1997)
Cheng, Y.M., Li, L., Chi, S.C.: Performance studies on six heuristic global optimization methods in the location of critical slip surface. Comput. Geotech. 34, 462–484 (2007)
Cheng, Y.M., Li, L., Chi, S., Wei, W.B.: Particle swarm optimization algorithm for location of critical non-circular failure surface in two dimensional slope stability analysis. Comput. Geotech. 34(2), 92–103 (2007)
Sengupta, A., Upadhyay, A.: Locating the critical failure surface in a slope stability analysis by genetic algorithm. Appl. Soft Comput. 9, 387–392 (2009)
Zolfaghari, A.R., Heath, A.C., Mc Combie, P.F.: Simple genetic algorithm search for critical non-circular failure surface in slope stability analysis. Comput. Geotech. 32, 139–152 (2005)
Ahmadi-Nedushan, B., Varaee, H.O: Optimal design of reinforced concrete retaining walls using a swarm intelligence technique. In: Topping, B.H.V., Tsompanakis, Y. (eds) Proceedings of the First International Conference on Soft Computing Technology in Civil, Structural and Environmental Engineering, Civil-Comp Press, Stirlingshire, Scotland (2009)
Ghazavi, M., Bazzazian Bonab, S.: Optimization of Reinforced Concrete Retaining Walls Using Ant Colony Method, ISGSR 2011—Vogt, © 2011 Bundesanstalt für Wasserbau ISBN 978-3-939230-01-4 (2011)
Chakraborty S., Das S., Gupta S., Ghosh S.: A critical review of IS: 1893 (Part 3) (2014), International Geotechnical Engineering Conference on Sustainability in Geotechnical Engineering Practices and Related Urban Issues, September, pp. 23–24, Mumbai, India (2016)
Sharma, R.P., Ghosh, S.: Pseudo static seismic active response of retaining wall supporting c − φ backfill. Electr. J. Geotech. Eng. (EJGE) 15, 533 (2010)
Smuc, T.: Sensitivity of differential evolution algorithm to value of control parameters. In: Proceedings of the International Conference on Artificial Intelligence, pp. 108–1093 (2002)
Smuc, T.: Improving convergence properties of the differential evolution algorithm. In: Proceedings of MENDEL 2002, 8th International Mendel Conference on Soft Computing, pp. 80–86 (2002)
Gong, W.Y., Cai, Z.H.: Differential evolution with ranking based mutation operators. IEEE Trans. Cybern. 43(6), 2066–2081 (2013)
Wang, L., Zhong, Y., Yin, Y., Zhao, W., Wang, B., Xu, Y.: A hybrid backtracking search optimization algorithm with differential evolution. Mathem. Prob. Eng. vol. 2015, Article ID 769245. http://dx.doi.org/10.1155/2015/769245,(2015)
Gämperle, R., Müller, S.D., Koumoutsakos, P.: A parameter study for differential evolution. Adv. Intell. Syst. Fuzzy Syst. Evol. Comput. 10, 293–298 (2002)
Ronkkonen, J., Kukkonen, S., Price, K.V.: Real-parameter optimization with differential evolution. Proc. IEEE CEC 1, 506–513 (2005)
Zaharie, D.: Influence of crossover on the behavior of differential evolution algorithms. Appl. Soft Comput. 9(3), 1126–1138 (2009)
Zhang, C., Ning, J., Lu, S., Ouyang, D., Ding, T.: A novel hybrid differential evolution and particle swarm optimization algorithm for unconstrained optimization. Oper. Res. Lett. 37, 117–122 (2009)
Storn, R.: On the usage of differential evolution for function optimization. In: Biennial Conference of the North American Fuzzy Information Processing Society (NAFIPS), IEEE, Berkeley, pp. 519–523 (1996)
Lampinen, J., Zelinka, I.: On stagnation of the differential evolution algorithm. In: Proceedings of MENDEL 2000, 6th International Mendel Conference on Soft Computing, pp. 76–83 (2000)
Mononobe, N., Matsuo, H.: On the determination of earth pressure during earthquakes. Proc. World Eng. Conf. 9, 176 (1929)
Okabe, S.: General theory of earth pressure. J. Jpn. Soc. Civ. Eng. 12(1) (1926)
Seed, H.B., Whitman, R.V.: Design of Earth Retaining Structures for Dynamic Loads, Lateral stresses in the ground and design of earth retaining structures, pp. 103–107. ASCE, New York (1970)
Ghosh, S., Dey, G.N., Datta, B.: pseudostatic analysis of rigid retaining wall for dynamic active earth pressure. In: 12th International Conference of International Association for Computer Methods and Advances in Geomechanics, Goa, India, pp. 4122–4131 (2008)
Liang, J.J., Qu, B.Y., Suganthan, P.N.: Problem definitions and evaluation criteria for the CEC 2014. Special Session and Competition on Single Objective Real Parameter Numerical Optimization. Technical Report 11, Computational Intelligence Laboratory, Zhengzhou University, Zhengzhou China and Technical Report, Nanyang Technological University, Singapore, December (2013)
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Nama, S., Saha, A.K., Saha, A. (2021). The hDEBSA Global Optimization Method: A Comparative Study on CEC2014 Test Function and Application to Geotechnical Problem. In: Bhoi, A., Mallick, P., Liu, CM., Balas, V. (eds) Bio-inspired Neurocomputing. Studies in Computational Intelligence, vol 903. Springer, Singapore. https://doi.org/10.1007/978-981-15-5495-7_12
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