Abstract
The development of the crossover operator is based on three different mechanisms: mating selection mechanism, offspring generation mechanism and offspring selection mechanism.
Most of the crossover operators are able to get exploration or exploitation of the domain depending on the way in which they handle the current diversity of the population.
Each crossover operator directs the search towards a different zone in the neighbourhood of the parents. The quality of the elements that belong to the visited region depends on the particular problem to be solved. This is confirmed by the well known no free lunch theorems. The simultaneous use of diverse crossover operators on the population will induce more efficient algorithms.
The aiming of this paper is to analyse and to study the complementary properties resulting from the synergetic effects using several crossover operators in genetic algorithms.
The improvements reached in structural optimisation using hybrid crossover operators will be analysed through some standard examples.
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References
C.A.C. António and I.A. Lhate, A hybrid crossover operator for structural optimization based on commonality in genetic search. Engineering Computations, International Journal for Computer-Aided Engineering and Software, 20(4), 390–408, 2003.
C.A. Conceição António, A hierarchical genetic algorithm with age structure for multimodal optimal design of hybrid composites. Structural and Multidisciplinary Optimization, Springer-Verlag, Editors: G. Rozvany (Germany) and J. Sobieski (USA), in print, online January 2006.
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António, C.C. (2006). The synergetic effects of hybrid crossover operators in structural optimisation. In: Motasoares, C.A., et al. III European Conference on Computational Mechanics. Springer, Dordrecht. https://doi.org/10.1007/1-4020-5370-3_435
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DOI: https://doi.org/10.1007/1-4020-5370-3_435
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-4994-1
Online ISBN: 978-1-4020-5370-2
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