TECHNICAL PAPERS
Jan 1, 1994

Augmented Lagrangian Genetic Algorithm for Structural Optimization

Publication: Journal of Aerospace Engineering
Volume 7, Issue 1

Abstract

This paper presents a robust hybrid genetic algorithm for optimization of space structures using the augmented Lagrangian method. An attractive characteristic of genetic algorithm is that there is no line search and the problem of computation of derivatives of the objective function and constraints is avoided. This feature of genetic algorithms is maintained in the hybrid genetic algorithm presented in this paper. Compared with the penalty function‐based genetic algorithm, only a few additional simple function evaluations are needed in the new algorithm. Furthermore, the trial and error approach for the starting penalty function coefficient and the process of arbitrary adjustments are avoided. There is no need to perform extensive numerical experiments to find a suitable value for the penalty function coefficient for each type or class of optimization problem. The algorithm is general and can be applied to a broad class of optimization problems.

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References

1.
Adeli, H., and Cheng, N.‐T. (1993). “Integrated genetic algorithm for optimization of space structures.” J. Aerosp. Engrg., ASCE, 6(4), 315–328.
2.
Adeli, H., and Kamal, O. (1986). “Efficient optimization of space trusses.” Comput. Struct., 24(3), 501–511.
3.
Adeli, H., and Kamal, O. (1992). “Concurrent optimization of large structures: part II—applications.” J. Aerosp. Engrg., ASCE, 5(1), 91–110.
4.
Belegundu, A. D., and Arora, J. S. (1984). “A computational study of transformation methods for optimal design.” AIAA J., 22(4), 535–542.
5.
De Jong, K. A. (1975). “An analysis of the behavior of a class of genetic adaptive systems,” PhD thesis, University of Michigan, Ann Arbor, Mich.
6.
Fletcher, R. (1975). “An ideal penalty function for constrained optimization.” J. Inst. Mathematics and Its Applications, 15(3), 319–342.
7.
Gill, P. E., and Murray, W., eds. (1974). Numerical methods for constrained optimizations. Academic Press, New York, N.Y.
8.
Goldberg, D. E. (1989). Genetic algorithms in search, optimization and machine learning. Addison‐Wesley Publishing Company, Inc., Reading, Mass.
9.
Goldberg, D. E., and Samtani, M. P. (1986). “Engineering optimization via genetic algorithm.” Proc. Ninth Conf. on Electronic Computation, 471–482.
10.
Hajela, P. (1990). “Genetic search—an approach to the nonconvex optimization problem.” AIAA J., 28(7), 1205–1210.
11.
Holland, J. H. (1975). Adaptation in natural and artificial systems. University of Michigan Press, Ann Arbor, Mich.
12.
Kirsch, U., and Taye, S. (1989). “Structural optimization in design planes.” Comput. Struct., 31(6), 913–920.
13.
Powell, M. J. D. (1969). “A method for nonlinear constraints in minimization problems.” Optimization, R. Fletcher, ed., Academic Press, London, England.
14.
Syswerda, G. (1989). “Uniform crossover in genetic algorithms.” Proc. Third Int. Conf. on Genetic Algorithms, George Mason University, June 4–7, Morgan Kaufmann Publishers, Inc., 2–9.

Information & Authors

Information

Published In

Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 7Issue 1January 1994
Pages: 104 - 118

History

Received: May 28, 1992
Published online: Jan 1, 1994
Published in print: Jan 1994

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Authors

Affiliations

Hojjat Adeli, Member, ASCE
Prof., Dept. of Civ. Engrg., Ohio State Univ., 470 Hitchcock Hall, 2070 Neil Avenue, Columbus, OH 43210
Nai‐Tsang Cheng
Grad. Student, Dept. of Civ. Engrg., Ohio State Univ., 470 Hitchcock Hall, 2070 Neil Avenue, Columbus, OH

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