THE CMA EVOLUTION STRATEGY BASED SIZE OPTIMIZATION OF TRUSS STRUCTURES

Evolution Strategies (ES) are a class of Evolutionary Algorithms based on Gaussian mutation and deterministic selection. Gaussian mutation captures pair-wise dependencies between the variables through a covariance matrix. Covariance Matrix Adaptation (CMA) is a method to update this covariance matrix. In this paper, the CMA-ES, which has found many applications in solving continuous optimization problems, is employed for size optimization of steel space trusses. Design examples reveal competitive performance of the algorithm compared to the other advanced metaheuristics.

[1]  Siamak Talatahari,et al.  Particle swarm optimizer, ant colony strategy and harmony search scheme hybridized for optimization of truss structures , 2009 .

[2]  Barron J. Bichon,et al.  Design of Steel Frames Using Ant Colony Optimization , 2005 .

[3]  W. Vent,et al.  Rechenberg, Ingo, Evolutionsstrategie — Optimierung technischer Systeme nach Prinzipien der biologischen Evolution. 170 S. mit 36 Abb. Frommann‐Holzboog‐Verlag. Stuttgart 1973. Broschiert , 1975 .

[4]  Lawrence J. Fogel,et al.  Artificial Intelligence through Simulated Evolution , 1966 .

[5]  K. Lee,et al.  A new structural optimization method based on the harmony search algorithm , 2004 .

[6]  Shyue-Jian Wu,et al.  Integrated discrete and configuration optimization of trusses using genetic algorithms , 1995 .

[7]  P. Hajela,et al.  Genetic algorithms in truss topological optimization , 1995 .

[8]  Kamran Behdinan,et al.  Particle swarm approach for structural design optimization , 2007 .

[9]  Ali Kaveh,et al.  A HYBRID PARTICLE SWARM AND ANT COLONY OPTIMIZATION FOR DESIGN OF TRUSS STRUCTURES , 2008 .

[10]  Ali Kaveh,et al.  Design of frames using genetic algorithm, force method and graph theory , 2004 .

[11]  Siamak Talatahari,et al.  Ant Colony Optimization for Design of Space Trusses , 2008 .

[12]  V. Toğan,et al.  Optimization of 3d trusses with adaptive approach in genetic algorithms , 2006 .

[13]  V. K. Koumousis,et al.  Genetic Algorithms in Discrete Optimization of Steel Truss Roofs , 1994 .

[14]  Saeed Shojaee,et al.  Structural topology optimization using ant colony methodology , 2008 .

[15]  Nikolaus Hansen,et al.  On the Adaptation of Arbitrary Normal Mutation Distributions in Evolution Strategies: The Generating Set Adaptation , 1995, ICGA.

[16]  Ali Kaveh,et al.  Genetic algorithm for discrete‐sizing optimal design of trusses using the force method , 2002 .

[17]  Ali Kaveh,et al.  Analysis, design and optimization of structures using force method and genetic algorithm , 2006 .

[18]  Ali Kaveh,et al.  Dynamic selective pressure using hybrid evolutionary and ant system strategies for structural optimization , 2008 .

[19]  Mehmet Polat Saka,et al.  Optimum design of steel sway frames to BS5950 using harmony search algorithm , 2009 .

[20]  S. Rajeev,et al.  Discrete Optimization of Structures Using Genetic Algorithms , 1992 .

[21]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[22]  Q. H. Wu,et al.  A heuristic particle swarm optimizer for optimization of pin connected structures , 2007 .

[23]  O. Hasançebi,et al.  Optimal design of planar and space structures with genetic algorithms , 2000 .

[24]  Albert A. Groenwold,et al.  Sizing design of truss structures using particle swarms , 2003 .

[25]  Ingo Rechenberg,et al.  Evolutionsstrategie : Optimierung technischer Systeme nach Prinzipien der biologischen Evolution , 1973 .

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

[27]  Mehmet Polat Saka,et al.  Optimum design of pitched roof steel frames with haunched rafters by genetic algorithm , 2001 .

[28]  Vidroha Debroy,et al.  Genetic Programming , 1998, Lecture Notes in Computer Science.

[29]  O. Hasançebi,et al.  Adaptive evolution strategies in structural optimization: Enhancing their computational performance with applications to large-scale structures , 2008 .

[30]  Paolo Venini,et al.  On some applications of ant colony optimization metaheuristic to plane truss optimization , 2006 .

[31]  A. Kaveh,et al.  Size optimization of space trusses using Big Bang-Big Crunch algorithm , 2009 .

[32]  El-Ghazali Talbi,et al.  Metaheuristics - From Design to Implementation , 2009 .

[33]  Saeed Shojaee,et al.  Optimal design of skeletal structures using ant colony optimization , 2007 .

[34]  Charles V. Camp,et al.  Design of Space Trusses Using Ant Colony Optimization , 2004 .

[35]  Siamak Talatahari,et al.  An improved ant colony optimization for constrained engineering design problems , 2010 .

[36]  Mehmet Polat Saka,et al.  Optimum Geometry Design of Geodesic Domes Using Harmony Search Algorithm , 2007 .

[37]  Mehmet Polat Saka,et al.  Optimum design of nonlinear steel frames with semi-rigid connections using a genetic algorithm , 2001 .

[38]  Ali Kaveh,et al.  Topology optimization of trusses using genetic algorithm, force method and graph theory , 2003 .

[39]  Jamshid Ghaboussi,et al.  Evolution of Optimum Structural Shapes Using Genetic Algorithm , 1998 .