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Optimization of retaining wall design using evolutionary algorithms

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Abstract

This paper explores the performance of three evolutionary optimization methods, differential evolution (DE), evolutionary strategy (ES) and biogeography based optimization algorithm (BBO), for nonlinear constrained optimum design of a cantilever retaining wall. These algorithms are based on biological contests for survival and reproduction. The retaining wall optimization problem consists of two criteria, geotechnical stability and structural strength, while the final design minimizes an objective function. The objective function is defined in terms of both cost and weight. Constraints are applied using the penalty function method. The efficiency of the proposed method is examined by means of two numerical retaining wall design examples, one with a base shear key and one without a base shear key. The final designs are compared to the ones determined by genetic algorithms as classical metaheuristic optimization methods. The design results and convergence rate of the BBO algorithm show a significantly better performance than the other algorithms in both design cases.

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Acknowledgments

The authors are willing to appreciate Dr. Halil Murat Algin (Harran University) for his comments on this study.

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Authors and Affiliations

  1. BEACON Center for the Study of Evolution in Action, Michigan State University, East Lansing, MI, 48824, USA

    Amir H. Gandomi

  2. Department of Civil Engineering, Arak University, Arak, Iran

    Ali R. Kashani & Mehdi Mousavi

  3. Department of Civil Engineering, The University of Akron, Akron, OH, 44325, USA

    David A. Roke

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  1. Amir H. Gandomi
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  2. Ali R. Kashani
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  3. David A. Roke
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  4. Mehdi Mousavi
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Correspondence to Amir H. Gandomi.

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Gandomi, A.H., Kashani, A.R., Roke, D.A. et al. Optimization of retaining wall design using evolutionary algorithms. Struct Multidisc Optim 55, 809–825 (2017). https://doi.org/10.1007/s00158-016-1521-3

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  • DOI: https://doi.org/10.1007/s00158-016-1521-3

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