Introducing reference point using g-dominance in optimum design considering uncertainties: an application in structural engineering

Authors:
David Greiner;Blas Galván;José M. Emperador;Máximo Méndez;Gabriel Winter
Affiliations:
Institute of Intelligent Systems and Numerical Applications in Engineering, Universidad de Las Palmas de Gran Canaria, Spain;Institute of Intelligent Systems and Numerical Applications in Engineering, Universidad de Las Palmas de Gran Canaria, Spain;Institute of Intelligent Systems and Numerical Applications in Engineering, Universidad de Las Palmas de Gran Canaria, Spain;Institute of Intelligent Systems and Numerical Applications in Engineering, Universidad de Las Palmas de Gran Canaria, Spain;Institute of Intelligent Systems and Numerical Applications in Engineering, Universidad de Las Palmas de Gran Canaria, Spain
Venue:
EMO'11 Proceedings of the 6th international conference on Evolutionary multi-criterion optimization
Year:
2011

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Abstract

Considering uncertainties in engineering optimum design is often a requirement. Here, the use of the deterministic optimum design as the reference point in g-dominance is proposed. The multiobjective optimum robust design in a structural engineering test case where uncertainties in the external loads are taken into account is proposed as application, where the simultaneous minimization of the constrained weight average and the standard deviation of the constraints violation are the objective functions. Results include a comparison between both non-dominated sorting genetic algorithm II (NSGA-II) and strength Pareto evolutionary algorithm (SPEA2), including S-metric (hypervolume) statistical comparisons with and without the g-dominance approach. The methodology is capable to provide robust optimum structural frame designs successfully.