Design optimization of real world steel space frames using artificial bee colony algorithm with Levy flight distribution

Abstract Optimum design of real world steel space frames under design code provisions is a complicated optimization problem due to the presence of large numbers of highly nonlinear constraints and discrete design variables. The use of gradient based optimization techniques in finding the optimum solution of such large design problems is cumbersome due to the selection of initial design points and convergence difficulties while metaheuristic algorithms do not suffer such problems. Artificial bee colony (ABC) algorithm is one of the recent additions to the swarm intelligence based meta-heuristic search techniques that mimic natural foraging behavior of honey bees. In this study optimum design problem of steel space frames is formulated according to the provisions of LRFD-AISC and its solution is obtained by using enhanced artificial bee colony algorithm. The performance of artificial bee colony algorithm is improved by adding Levy flight distribution in the search of scout bees. Real world steel space frames are designed with the new algorithm developed in this study to demonstrate its robustness and efficiency.

[1]  Lingling Huang,et al.  A global best artificial bee colony algorithm for global optimization , 2012, J. Comput. Appl. Math..

[2]  M. P. Saka Optimum Design of Skeletal Structures: A Review , 2003 .

[3]  Mehmet Polat Saka,et al.  Optimum Design of Steel Frames using Stochastic Search Techniques Based on Natural Phenomena: A Review , 2007 .

[4]  Dervis Karaboga,et al.  Artificial Bee Colony (ABC) Optimization Algorithm for Solving Constrained Optimization Problems , 2007, IFSA.

[5]  R. Mantegna,et al.  Fast, accurate algorithm for numerical simulation of Lévy stable stochastic processes. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[6]  Dervis Karaboga,et al.  A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm , 2007, J. Glob. Optim..

[7]  O. Hasançebi,et al.  Comparison of non-deterministic search techniques in the optimum design of real size steel frames , 2010 .

[8]  T. Bakhshpoori,et al.  Seismic optimal design of 3D steel frames using cuckoo search algorithm , 2015 .

[9]  Harun Uğuz,et al.  Levy Flight Distribution for Scout Bee in Artificial Bee Colony Algorithm , 2013 .

[10]  Mustafa Sonmez,et al.  Discrete optimum design of truss structures using artificial bee colony algorithm , 2011 .

[11]  Dervis Karaboga,et al.  A modified Artificial Bee Colony (ABC) algorithm for constrained optimization problems , 2011, Appl. Soft Comput..

[12]  Mehmet Polat Saka,et al.  Ant colony optimization of irregular steel frames including elemental warping effect , 2012, Adv. Eng. Softw..

[13]  Bilal Alatas,et al.  Chaotic bee colony algorithms for global numerical optimization , 2010, Expert Syst. Appl..

[14]  Zong Woo Geem,et al.  Mathematical and Metaheuristic Applications in Design Optimization of Steel Frame Structures: An Extensive Review , 2013 .

[15]  Ali Kaveh,et al.  Optimum design of steel frames using Cuckoo Search algorithm with Lévy flights , 2013 .

[16]  Carmine Pappalettere,et al.  Metaheuristic Design Optimization of Skeletal Structures: A Review , 2010 .

[17]  Mustafa Sonmez,et al.  Artificial Bee Colony algorithm for optimization of truss structures , 2011, Appl. Soft Comput..

[18]  Dervis Karaboga,et al.  AN IDEA BASED ON HONEY BEE SWARM FOR NUMERICAL OPTIMIZATION , 2005 .

[19]  O. Hasançebi,et al.  Performance evaluation of metaheuristic search techniques in the optimum design of real size pin jointed structures , 2009 .

[20]  Zong Woo Geem,et al.  Harmony Search Algorithms in Structural Engineering , 2011, Computational Optimization and Applications in Engineering and Industry.

[21]  S. O. Degertekin Optimum design of geometrically non-linear steel frames using artificial bee colony algorithm , 2012 .

[22]  Wan-li Xiang,et al.  An efficient and robust artificial bee colony algorithm for numerical optimization , 2013, Comput. Oper. Res..

[23]  Xin-She Yang,et al.  Firefly Algorithm, Lévy Flights and Global Optimization , 2010, SGAI Conf..

[24]  Dervis Karaboga,et al.  A comprehensive survey: artificial bee colony (ABC) algorithm and applications , 2012, Artificial Intelligence Review.

[25]  M. P. Saka,et al.  Recent Developments in Metaheuristic Algorithms: A Review , 2012 .

[26]  D. Karaboga,et al.  On the performance of artificial bee colony (ABC) algorithm , 2008, Appl. Soft Comput..

[27]  Sam Kwong,et al.  Gbest-guided artificial bee colony algorithm for numerical function optimization , 2010, Appl. Math. Comput..

[28]  Guoqiang Li,et al.  Development and investigation of efficient artificial bee colony algorithm for numerical function optimization , 2012, Appl. Soft Comput..

[29]  Xin-She Yang,et al.  Cuckoo Search via Lévy flights , 2009, 2009 World Congress on Nature & Biologically Inspired Computing (NaBIC).