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A set theoretical shuffled shepherd optimization algorithm for optimal design of cantilever retaining wall structures

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Abstract

In this paper, a recently developed meta-heuristic algorithm, shuffled shepherd optimization algorithm (SSOA), is employed for optimal design of reinforced concrete cantilever retaining wall structures under static and seismic loading conditions. The concepts of set theory are employed to express the SSOA in a set theoretical term. The Rankine and Coulomb theories are utilized in order to estimate the lateral earth pressures under the static loading condition, whereas the Mononobe–Okabe method is employed for the seismic one. Optimization aims to minimize the cost of cantilever retaining wall while satisfying some constraints on stability and strength limits. The design is based on the requirements of ACI 318-05. In order to investigate the efficiency of the SSOA, one benchmark cantilever retaining wall problem is considered from the literature. Comparing the optimization results obtained by the SSOA with those of other meta-heuristics shows the efficient performance of the SSOA in both aspects of accuracy and convergence rate.

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References

  1. Kaveh A, Mahdavi VR (2015) Colliding bodies optimization: extensions and applications, 1st edn. Springer, Switzerland

    Book  Google Scholar 

  2. Arya C (2009) Design of structural elements: concrete, steelwork, masonry and timber designs to British standards and Eurocodes, 3rd edn. CRC Press, London

    Book  Google Scholar 

  3. Clayton CR, Woods RI, Bond AJ, Milititsky J (2014) Earth pressure and earth-retaining structures, 3rd edn. CRC Press, Boca Raton

    Book  Google Scholar 

  4. Yazdani M, Azad A, Farshi A, Talatahari S (2013) Extended “Mononobe–Okabe” method for seismic design of retaining walls. J Appl Math 2013:136132. https://doi.org/10.1155/2013/136132

    Article  Google Scholar 

  5. Rao SS (2009) Engineering optimization: theory and practice, 4th edn. Wiley, New York

    Book  Google Scholar 

  6. Kaveh A (2017) Advances in metaheuristics algorithms for optimal design of structures, 2nd edn. Springer, Basel

    Book  Google Scholar 

  7. Kaveh A, Bakhshpoori T (2019) Metaheuristics: outlines, MATLAB codes and examples, 1st edn. Springer, Basel

    Book  Google Scholar 

  8. Camp CV, Akin A (2012) Design of retaining walls using big bang-big crunch optimization. J Struct Eng 138(3):438–448

    Article  Google Scholar 

  9. Khajezadeh M, Taha MR, Eslami M (2013) Efficient gravitational search algorithm for optimum design of retaining walls. Struct Eng Mech 45(1):111–127

    Article  Google Scholar 

  10. Kaveh A, Behnam AF (2013) Charged system search algorithm for the optimum cost design of reinforced concrete cantilever retaining walls. Arab J Sci Eng 38(3):563–570

    Article  Google Scholar 

  11. Sheikholeslami R, Gholipour Khalili B, Zahrai SM (2014) Optimum cost design of reinforced concrete retaining walls using hybrid firefly algorithm. IJET 6(6):465–470

    Article  Google Scholar 

  12. Gandomi AH, Kashani AR, Roke DA, Mousavi M (2015) Optimization of retaining wall design using recent swarm intelligence techniques. Eng Struct 103:72–84

    Article  Google Scholar 

  13. Kaveh A, Farhoudi N (2016) Dolphin echolocation optimization for design of cantilever retaining walls. Asian J Civ Eng 17(2):193–211

    Google Scholar 

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

    Article  Google Scholar 

  15. Gandomi AH, Kashani AR, Roke DA, Mousavi M (2017) Optimization of retaining wall design using evolutionary algorithms. Struct Multidiscip Optim 55(3):809–825

    Article  Google Scholar 

  16. Aidogdu I (2017) Cost optimization of reinforced concrete cantilever retaining walls under seismic loading using a biogeography-based optimization design algorithm with levy flights. Eng Optim 49(3):381–400

    Article  Google Scholar 

  17. Yepes V, Alcala J, Perea C, Gonzalez-Vidosa F (2018) A parametric study of optimum earth-retaining walls by simulated annealing. Eng Struct 30(3):821–830

    Article  Google Scholar 

  18. Kalemci EN, Ikizler SB, Dede T, Angin Z (2020) Design of reinforced concrete cantilever retaining wall using gray wolf optimization algorithms. Structures 23:245–253

    Article  Google Scholar 

  19. Ghaleini EN, Koopialipoor M, Momenzadeh M, Sarafraz ME, Mohamad ET, Gordan B (2019) Estimating and optimizing safety factors of retaining wall through neural network and bee colony techniques. Eng Comput 35(2):647–658

    Article  Google Scholar 

  20. Gordan B, Koopialipoor M, Clementking A, Tootoonchi H, Mohamad ET (2019) A parametric study of optimum earth-retaining walls by simulated annealing. Eng Comput 35(3):945–954

    Article  Google Scholar 

  21. Kaveh A, Biabani Hamedani K, Bakhshpoori T (2020) Optimal design of reinforced concrete cantilever retaining walls utilizing eleven meta-heuristic algorithms: a comparative study. Period Polytech Civ Eng 64:156–168

    Google Scholar 

  22. Mergos PE, Mantoglou F (2020) Optimum design of reinforced concrete retaining walls with the flower pollination algorithm. Struct Multidiscip Optim 61(2):575–585

    Article  Google Scholar 

  23. Kazemzadeh Azad S, Akış E (2020) Cost efficient design of mechanically stabilized earth walls using adaptive dimensional search algorithm. Tech J Turk Chamb Civ Eng 31(4)

  24. Kaveh A, Zaerreza A (2020) Shuffled shepherd optimization method: a new meta-heuristic algorithm. Eng Comput. https://doi.org/10.1108/EC-10-2019-0481

    Article  Google Scholar 

  25. Kaveh A, Zaerreza A (2020) Size/layout optimization of truss structures using shuffled shepherd optimization method. Period Polytech Civ Eng. Accepted for publication

  26. American Concrete Institute (2005) Building code requirements for structural concrete (ACI 318-05) and commentary (ACI 318R-05). USA

  27. Kazemzadeh AS (2018) Seeding the initial population with feasible solutions in metaheuristic optimization of steel trusses. Eng Optim 50(1):89–105

    Article  MathSciNet  Google Scholar 

  28. American Association of State Highway and Transportation Officials (AASHTO) (2002) Standard specifications for highway bridges. USA

  29. Das BM (2006) Principles of foundation engineering, 6th edn. Thomson India, New York

    Google Scholar 

  30. Das BM, Ramana GV (1993) Principles of soil dynamics, 2nd edn. PWS-KENT Publishing Company, Boston

    Google Scholar 

  31. McCormac JC, Brown RH (2015) Design of reinforced concrete, 10th edn. Wiley, New York

    Google Scholar 

  32. Kazemzadeh Azad S, Hasançebi O, Kazemzadeh AS (2013) Upper bound strategy for metaheuristic based design optimization of steel frames. Adv Eng Softw 57:19–32

    Article  Google Scholar 

  33. Kaveh A, Ilchi Ghazaan M (2018) Meta-heuristic algorithms for optimal design of real-size structures, 1st edn. Springer, Basel

    Book  Google Scholar 

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Authors and Affiliations

  1. School of Civil Engineering, Iran University of Science and Technology, P.O. Box 16846-13114, Narmak, Tehran, Iran

    Ali Kaveh, Kiarash Biabani Hamedani & Ataollah Zaerreza

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  1. Ali Kaveh
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  2. Kiarash Biabani Hamedani
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  3. Ataollah Zaerreza
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Correspondence to Ali Kaveh.

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Kaveh, A., Biabani Hamedani, K. & Zaerreza, A. A set theoretical shuffled shepherd optimization algorithm for optimal design of cantilever retaining wall structures. Engineering with Computers 37, 3265–3282 (2021). https://doi.org/10.1007/s00366-020-00999-9

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