Performance evaluation of artificial bee colony algorithm and its variants in the optimum design of steel skeletal struc

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ORIGINAL PAPER

Performance evaluation of artificial bee colony algorithm and its variants in the optimum design of steel skeletal structures M. P. Saka1 · I. Aydogdu2 Received: 8 July 2020 / Accepted: 19 August 2020 © Springer Nature Switzerland AG 2020

Abstract Artificial bee colony algorithm (ABC) has been efficiently used to obtain the optimum design of structures under design code limitations. There are several enhancements suggested to improve the performance of ABC even further in the literature. In this chapter, the performance of enhanced ABC variants in the optimum design of steel skeletal frames is studied. The mathematical model of such design problem when based on the provisions of design code requirements results in a discrete nonlinear programming problem. Seven variants of ABC is selected from the literature. These are standard artificial bee colony algorithm (sABC), artificial bee colony algorithm with orthogonal learning (OCABC), quick artificial bee colony algorithm (qABC), noel chaotic artificial bee colony algorithm (STOC-BC), directed artificial bee colony algorithm (dABC), improved artificial bee colony algorithm (NSABC) and artificial bee colony algorithm with Levy flight distribution (ABC_ Levy). Seven optimum design algorithms are developed to obtain the solution of the design problem formulated considering design code provisions. Two steel space frames, one ten story and the other fifteen story are optimized using each of the seven optimum design techniques. The performance of each variant is observed and the optimum designs are compared. It is noticed after carrying out the statistical analysis that ABC_Levy and qABC algorithms outperform the other algorithms. Keywords  Structural optimization · Stochastic search methods · Combinational optimization · Swarm intelligence · Artificial bee colony algorithm · Steel frames · Design to LRFD-AISC

Introduction The climate change observed today is blamed to global warming. Carbon dioxide is the primary greenhouse gas emitted through human activities. Although energy production and transportation are two of the primary source of carbon dioxide emissions, the construction industry also plays an important role in this respect. Buildings and construction works have the most significant share in global resource use and pollution emission in today’s civilization after energy production (NASA 2020; ISOVER 2020). Therefore, any method that results in use of less material in the design and construction of structures would be welcomed because it would contribute to the reduction of carbon dioxide * M. P. Saka [email protected] 1



Civil Engineering Department, University of Bahrain, P. O. Box 32038, Isa Town, Bahrain



Civil Engineering Department, Akdeniz University, Antalya, Turkey

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emission. The aim of structural optimization algorithms is to achieve this goal. Steel skeletal frames are widely used all over the world. Design of such frames is somewhat different from that of reinforced concrete ones because in the design of the former, the desi