Abstract
The present paper describes an implementation of genetic search methods in multicriterion optimal designs of structural systems with a mix of continuous, integer and discrete design variables. Two distinct strategies to simultaneously generate a family of Pareto optimal designs are presented in the paper. These strategies stem from a consideration of the natural analogue, wherein distinct species of life forms share the available resources of an environment for sustenance. The efficacy of these solution strategies are examined in the context of representative structural optimization problems with multiple objective criteria and with varying dimensionality as determined by the number of design variables and constraints.
Similar content being viewed by others
References
Deb, K.; Goldberg, D.E. 1989: An investigation of niche and species formation in genetic function optimization, genetic algorithms and their applications.Proc. Third Int. Conf. Genetic Algorithms
Goldberg, D.E.; Richardson J. 1987: Genetic algorithms with sharing for multimodal function optimization, genetic algorithms and their applications.Proc. Second Int. Conf. Genetic Algorithms
Goldberg, D.E. 1989:Genetic algorithms in search, optimization, and machine learning. Reading: Addison Wesley
Hajela, P. 1989: Genetic algorithms in automated structural synthesis. In: Topping, B.H.V. (ed.)Optimization and decision support systems. Dordrecht: Kluwer
Hajela, P. 1990: Genetic search - an approach to the nonconvex optimization problem.AIAA J. 26, 1205–1210
Hajela, P.; Shih, C.-J. 1989: Optimal design of laminated composites using a modified mixed integer and discrete programming algorithm.Comput. & Struct. 32, 213–221
Hajela, P.; Shih, C.-J. 1990: Multiobjective optimum design in mixed integer and discrete design variable problems.AIAA J. 28, 670–675
Holland, J.H. 1975:Adaptation in natural and artificial systems. Ann Arbor: The University of Michigan Press Hwang, C.L.; Masud, A.S.M. 1979: Multiple objective decision making: methods and applications; a state-of the art survey.Lecture notes in economics and mathematical systems 164. Berlin, Heidelberg, New York: Springer
Lin, C.-Y.; Hajela, P. 1991: Genetic algorithms in structural optimization problems with discrete and integer design variables.J. Engrg. Opt. (to be published)
Pareto, V. 1896:Cours d'economie politique. Lausanne: F. Rouge
Rechenberg, I. 1965: Cybernetic solution path of an experimental problem.Royal Aircraft Establishment, Library Translation 1122
Schaffer, J.D. 1984:Some experiments in machine learning using vector evaluated genetic algorithms. Ph.D. Thesis, Vanderbilt University, Nashville
Schmit, L.A.; Miura, H. 1976: Approximation concepts for efficient structural synthesis.NASA CR-2552
Sobieszczanski-Sobieski, J. 1983: Structural optimization challenges and opportunities.Proc. Int. Conf. Modern Vehicle Design Analysis (held in London)
Author information
Authors and Affiliations
Additional information
Communicated by J. Sobieski
Rights and permissions
About this article
Cite this article
Hajela, P., Lin, C.Y. Genetic search strategies in multicriterion optimal design. Structural Optimization 4, 99–107 (1992). https://doi.org/10.1007/BF01759923
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01759923