A COMBINATION OF PARTICLE SWARM OPTIMIZATION AND MULTI-CRITERION DECISION-MAKING FOR OPTIMUM DESIGN OF REINFORCED CONCRETE FRAMES

Structural design optimization usually deals with multiple conflicting objectives to obtain the minimum construction cost, minimum weight, and maximum safety of the final design. Therefore, finding the optimum design is hard and time-consuming for such problems. In this paper, we borrow the basic concept of multi-criterion decision-making and combine it with Particle Swarm Optimization (PSO) to develop an algorithm for accelerating convergence toward the optimum solution in structural multi-objective optimization scenarios. The effectiveness of the proposed algorithm was illustrated in some benchmark reinforced concrete (RC) optimization problems. The main goal was to minimize the cost or weight of structures while satisfying all design requirements imposed by design codes. The results confirm the ability of the proposed algorithm to efficiently find optimal solutions for structural optimization problems.

[1]  Gary B. Lamont,et al.  Evolutionary Algorithms for Solving Multi-Objective Problems , 2002, Genetic Algorithms and Evolutionary Computation.

[2]  Mehmet Polat Saka,et al.  Harmony search algorithm based optimum detailed design of reinforced concrete plane frames subject to ACI 318-05 provisions , 2015 .

[3]  Hirotaka Nakayama,et al.  Theory of Multiobjective Optimization , 1985 .

[4]  S. Rajeev,et al.  GENETIC ALGORITHM-BASED METHODOLOGY FOR DESIGN OPTIMIZATION OF REINFORCED CONCRETE FRAMES , 1998 .

[5]  Hyo-Gyoung Kwak,et al.  Optimum design of reinforced concrete plane frames based on predetermined section database , 2008, Comput. Aided Des..

[6]  Alice E. Smith,et al.  Genetic Optimization Using A Penalty Function , 1993, ICGA.

[7]  Zbigniew Michalewicz,et al.  A Survey of Constraint Handling Techniques in Evolutionary Computation Methods , 1995 .

[8]  R. K. Ursem.  Multi-objective Optimization using Evolutionary Algorithms , 2009 .

[9]  J. V. Ramasamy,et al.  Optimum detailed design of reinforced concrete frames using genetic algorithms , 2007 .

[10]  Marc Schoenauer,et al.  Constrained GA Optimization , 1993, ICGA.

[11]  Vassili Toropov,et al.  A Review on Traditional and Modern Structural Optimization , 2013 .

[12]  Zbigniew Michalewicz,et al.  Evolutionary Algorithms, Homomorphous Mappings, and Constrained Parameter Optimization , 1999, Evolutionary Computation.

[13]  Hyo-Gyoung Kwak,et al.  An integrated genetic algorithm complemented with direct search for optimum design of RC frames , 2009, Comput. Aided Des..

[14]  Saeed Gholizadeh,et al.  OPTIMUM DESIGN OF REINFORCED CONCRETE FRAMES USING BAT META-HEURISTIC ALGORITHM , 2013 .

[15]  Siamak Talatahari,et al.  Optimal design of skeletal structures via the charged system search algorithm , 2010 .

[16]  Ali Kaveh,et al.  Design optimization of reinforced concrete 3D structures considering frequency constraints via a charged system search , 2013 .

[17]  Kalyanmoy Deb,et al.  Multiobjective optimization , 1997 .

[18]  N. Null.  Minimum Design Loads for Buildings and Other Structures , 2003 .

[19]  Kalyanmoy Deb,et al.  Multi-objective optimization using evolutionary algorithms , 2001, Wiley-Interscience series in systems and optimization.

[20]  Edward Cohen,et al.  Minimum Design Loads for Buildings and Other Structures , 1990 .

[21]  Gary B. Lamont,et al.  Applications Of Multi-Objective Evolutionary Algorithms , 2004 .

[22]  Xiaohui Hu,et al.  Engineering optimization with particle swarm , 2003, Proceedings of the 2003 IEEE Swarm Intelligence Symposium. SIS'03 (Cat. No.03EX706).

[23]  Ali Kaveh,et al.  A comparative study of two meta-heuristic algorithms for optimum design of reinforced concrete frames , 2011 .

[24]  Z. Michalewicz.  Genetic Algorithms , Numerical Optimization , and Constraints , 1995 .

[25]  Kaisa Miettinen,et al.  Nonlinear multiobjective optimization , 1998, International series in operations research and management science.

[26]  Kalyanmoy Deb,et al.  A Hybrid Framework for Evolutionary Multi-Objective Optimization , 2013, IEEE Transactions on Evolutionary Computation.

[27]  Saeed Gholizadeh,et al.  OPTIMIZATION OF RC FRAMES BY AN IMPROVED ARTIFICIAL BEE COLONY ALGORITHM , 2015 .

[28]  Michael M. Skolnick,et al.  Using Genetic Algorithms in Engineering Design Optimization with Non-Linear Constraints , 1993, ICGA.

[29]  Zbigniew Michalewicz,et al.  Evolutionary algorithms for constrained engineering problems , 1996, Computers & Industrial Engineering.

[30]  Zbigniew Michalewicz,et al.  Genetic Algorithms + Data Structures = Evolution Programs , 1996, Springer Berlin Heidelberg.

[31]  Zbigniew Michalewicz,et al.  Evolutionary Computation at the Edge of Feasibility , 1996, PPSN.

[32]  Manolis Papadrakakis,et al.  A Hybrid Particle Swarm—Gradient Algorithm for Global Structural Optimization , 2010, Comput. Aided Civ. Infrastructure Eng..

[33]  J. V. Ramasamy,et al.  Optimum detailed design of reinforced concrete continuous beams using Genetic Algorithms , 2005 .

[34]  Russell C. Eberhart,et al.  Multiobjective optimization using dynamic neighborhood particle swarm optimization , 2002, Proceedings of the 2002 Congress on Evolutionary Computation. CEC'02 (Cat. No.02TH8600).

[35]  Yacov Y. Haimes,et al.  Multiobjective Decision Making: Theory and Methodology , 1983 .