Multiobjective optimization of trusses using genetic algorithms

Abstract In this paper we propose the use of the genetic algorithm (GA) as a tool to solve multiobjective optimization problems in structures. Using the concept of min–max optimum, a new GA-based multiobjective optimization technique is proposed and two truss design problems are solved using it. The results produced by this new approach are compared to those produced by other mathematical programming techniques and GA-based approaches, proving that this technique generates better trade-offs and that the genetic algorithm can be used as a reliable numerical optimization tool.

[1]  Singiresu S Rao,et al.  Multiobjective optimization in structural design with uncertain parameters and stochastic processes , 1984 .

[2]  C. A. Brebbia,et al.  Computer aided optimum design of structures III: optimization of structural systems and applications , 1993 .

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

[4]  H. Adeli,et al.  Augmented Lagrangian genetic algorithm for structural optimization , 1994 .

[5]  Alan D. Christiansen,et al.  An empirical study of evolutionary techniques for multiobjective optimization in engineering design , 1996 .

[6]  E Atrek,et al.  New directions in optimum structural design , 1984 .

[7]  Peter J. Fleming,et al.  Genetic Algorithms for Multiobjective Optimization: FormulationDiscussion and Generalization , 1993, ICGA.

[8]  Larry J. Eshelman,et al.  The CHC Adaptive Search Algorithm: How to Have Safe Search When Engaging in Nontraditional Genetic Recombination , 1990, FOGA.

[9]  Edward M. Krokosky.  The Ideal Multifunctional Constructural Material , 1968 .

[10]  James M. Gere,et al.  Analysis of framed structures , 1965 .

[11]  Hojjat Adeli,et al.  Concurrent Structural Optimization on Massively Parallel Supercomputer , 1995 .

[12]  Prabhat Hajela,et al.  Multiobjective optimum design in mixed integer and discrete design variable problems , 1990 .

[13]  Carlos A. Coello Coello,et al.  Optimal design of reinforced concrete beams using genetic algorithms , 1997 .

[14]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[15]  I-Cheng Yeh.  Hybrid Genetic Algorithms for Optimization of Truss Structures , 1999 .

[16]  Peter J. Fleming,et al.  An Overview of Evolutionary Algorithms in Multiobjective Optimization , 1995, Evolutionary Computation.

[17]  John J. Grefenstette,et al.  Optimization of Control Parameters for Genetic Algorithms , 1986, IEEE Transactions on Systems, Man, and Cybernetics.

[18]  Ashok Dhondu Belegundu,et al.  A Study of Mathematical Programming Methods for Structural Optimization , 1985 .

[19]  G. Rudolph.  On a multi-objective evolutionary algorithm and its convergence to the Pareto set , 1998, 1998 IEEE International Conference on Evolutionary Computation Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98TH8360).

[20]  Alan D. Christiansen,et al.  Using genetic algorithms for optimal design of trusses , 1994, Proceedings Sixth International Conference on Tools with Artificial Intelligence. TAI 94.

[21]  David E. Goldberg,et al.  ENGINEERING OPTIMIZATION VIA GENETIC ALGORITHM, IN WILL , 1986 .

[22]  Andrzej Osyczka,et al.  7 – Multicriteria optimization for engineering design , 1985 .

[23]  David E. Goldberg,et al.  Genetic Algorithms with Sharing for Multimodalfunction Optimization , 1987, ICGA.

[24]  W. M. Jenkins,et al.  Towards structural optimization via the genetic algorithm , 1991 .

[25]  Xiaojian Liu,et al.  Genetic approach to optimal topology/controller design of adaptive structures , 1998 .

[26]  H. Adeli,et al.  Integrated Genetic Algorithm for Optimization of Space Structures , 1993 .

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

[28]  Lucien Duckstein.  Multiobjective Optimization in Structural Design: The Model Choice Problem , 1981 .

[29]  Andrzej Osyczka,et al.  Multicriterion optimization in engineering with FORTRAN programs , 1984 .

[30]  John J. Grefenstette,et al.  Genetic algorithms and their applications , 1987 .

[31]  Prabhat Hajela,et al.  Genetic Algorithms in Structural Topology Optimization , 1993 .

[32]  Hojjat Adeli,et al.  Distributed Genetic Algorithm for Structural Optimization , 1995 .

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

[34]  Kalyanmoy Deb,et al.  Muiltiobjective Optimization Using Nondominated Sorting in Genetic Algorithms , 1994, Evolutionary Computation.

[35]  C. S. Krishnamoorthy,et al.  Object-Oriented Framework for Genetic Algorithms with Application to Space Truss Optimization , 2002 .

[36]  P. Hajela,et al.  Genetic search strategies in multicriterion optimal design , 1991 .

[37]  Subramaniam Rajan,et al.  Sizing, Shape, and Topology Design Optimization of Trusses Using Genetic Algorithm , 1995 .