AccScience Publishing / IJOCTA / Volume 11 / Issue 1 / DOI: 10.11121/ijocta.01.2021.00863
RESEARCH ARTICLE

Cost optimization of reinforced concrete frames using genetic algorithms

Bedilu Habte1* Elias Yilma1*
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1 School of Civil & Environmental Engineering, Addis Ababa Institute of Technology, Ethiopia
Submitted: 11 September 2019 | Accepted: 27 August 2020 | Published: 27 December 2020
© 2020 by the Author(s). This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC-by the license) ( https://creativecommons.org/licenses/by-nc/4.0/ )
Abstract

Cost optimization of reinforced concrete building frames using genetic algorithms  is presented. Unlike previous works that used simplified discrete or continuous  optimization models, this work considers constructability issues as well as the  effects of shear and torsional actions in the design optimization of reinforced  concrete frames. An integrated software system has been developed to implement  the proposed optimization procedure using genetic algorithms. Examples have  been incorporated in order to compare the results from the proposed study with  that of a previous work which follows a different heuristic and with the traditional  “design–check–revise” method. The structural design procedures recommended in  the Eurocode-2 have been strictly followed in this work. Special emphasis has  been given to structural analysis methods and studying computational efficiency  of the developed framework. To improve the performance and computational  complexity of the algorithm, the effect of genetic parameters such as mutation and  crossover on the optimization process has been thoroughly studied. The method  developed in this work proves to have a lot of advantages over the traditional  “design–check–revise” paradigm and other heuristic methods.

Keywords
Structural Design Optimization
Decimal Encoding
Genetic Algorithms
Direct Stiffness Method
Reinforcement Detailing in Frames
Conflict of interest
The authors declare they have no competing interests.
References

[1] Goldberg, D. (1989). Genetic algorithms in search,  optimization, and machine learning, AddisonWesley Publishing Inc., Alabama.

[2] Holland, J., Langton, C., & Wilson, S. (1992). Adaptation in Natural and Artificial Systems: An  Introductory Analysis with Applications to Biology,  Control, and Artificial Intelligence, MIT Press, Cambridge, Massachusetts.

[3] Bekiroǧlu, S., Dede, T., & Ayvaz, Y. (2009). Implementation of different encoding types on  structural optimization based on adaptive genetic  algorithm, Finite Elements in Analysis and Design,  45(11), 826–835.

[4] Camp, C., Pezeshk, S., & Cao, G. (1998). Optimized  Design of Two-Dimensional Structures Using a  Genetic Algorithm, Journal of Structural  Engineering, 13, 551–559.

[5] Fang, X. (2007). Engineering design using genetic  algorithms, Iowa State University, Iowa.

[6] Aga, A.A.A. & Adam, F.M. (2015). Design  Optimization of Reinforced Concrete Frames, Open  Journal of Civil Engineering, 5, 74-83.

[7] Mergos, P.E. (2016). Optimal Design of Reinforced  Concrete Frames According to EC8 and MC2010  with Genetic Algorithms, City University London.

[8] Prendes-Gero, M., Bello-García,A., Coz-Díaz, J.,  Suárez-Domínguez, F., & García P. (2018). Optimization of steel structures with one genetic  algorithm according to three international building  codes, Universidadde Oviedo EPSIG, Department  of Construction, Asturias, Spain

[9] Guerra, A., & Kiousis, P. D. (2006). Design  Optimization of Reinforced Concrete Structures,  Computers and Concrete, 3(5), 313–334.

[10] González-Vidosa, F., Yepes, V., Alcalá, J., Carrera,  M., Perea, C., & Payá-Zaforteza I. (2008). Optimization of Reinforced Concrete Structures by  Simulated Annealing, School of Civil  Engineering, Universidad Politécnica Valencia,  Spain.

[11] Rajeev, S., & Krishnamoorthy, C. S. (1998). GeneticAlgorithm-based Methodology for Design  Optimization of Reinforced Concrete Frames,  Computer-Aided Civil and Infrastructure  Engineering, 13(1), 63–74.

[12] Najem, R.B., & Yousif, S. T. (2014). Optimum Cost  Design of Reinforced Concrete Columns Using  Genetic Algorithms, Al-Rafidain Engineering, 22(1), 112-141.

[13] Koza, J. R. (1998). Genetic Programming: On the  Programming of Computers by Means of Natural  Selection, MIT Press, Cambridge, Massachusetts.

[14] Mahfouz, S. (1999). Design optimization of steel  frame structures according to the British codes of  practice using a genetic algorithm, University of  Bradford

[15] Dede, T., Ayvaz, Y., & Bekiroglu, S. (2003). Optimization of Truss Structures using Value  Encoding in a Genetic Algorithm, in B.H.V.  Topping, (Editor), Proceedings of the Seventh  International Conference on the Application of  Artificial Intelligence to Civil and Structural  Engineering, Civil-Comp Press, Stirlingshire, UK,  Paper 38, 2003. doi:10.4203/ccp.78.38

[16] Gere, J., Weaver, W. (1980). Matrix Analysis of  Framed Structures, Van Nostrand Reinhold  Company Inc., Wokingham, Berkshire.

[17] Gundersen, G. (2002). The Use of Java Sparse  Arrays in Matrix Computation, Master’s Thesis,  University of Bergen, Norway.

[18] Beeby, A. W., & Narayanan, R. S. (2009).  Designers’ guide to Eurocode 2: Design of Concrete  Structures, Thomas Telford Publishing.

[19] European Committee for Standardization (2004).  Eurocode 2: Design of concrete structures - Part 1- 1: General rules and rules for buildings, Brussels,  Belgium.

[20] Mosley, B., Bungey, J., & Hulse, R. (2012),  Reinforced Concrete Design to Eurocode-2, 7thEdition, Palgrave Macmillan Publishing,  Houndmills, Hampshire.

[21] European Committee for Standardization (2004). Eurocode 2: Design of concrete structures - Part 1- 2: General rules - Structural fire design, Brussels,  Belgium.

[22] Computers and Structures Inc. (2019). ETABS – an  integrated software package for the structural  analysis and design of buildings,  https://www.csiamerica.com/products/etabs  Accessed 17 August, 2019.

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An International Journal of Optimization and Control: Theories & Applications, Electronic ISSN: 2146-5703 Print ISSN: 2146-0957, Published by AccScience Publishing