Gray coding in evolutionary multicriteria optimization: application in frame structural optimum design

Authors:
David Greiner;Gabriel Winter;José M. Emperador;Blas Galván
Affiliations:
Evolutionary Computation and Applications Division (CEANI), Intelligent Systems and Numerical Applications in Engineering Institute (IUSIANI), Las Palmas de Gran Canaria University (ULPGC), Spain;Evolutionary Computation and Applications Division (CEANI), Intelligent Systems and Numerical Applications in Engineering Institute (IUSIANI), Las Palmas de Gran Canaria University (ULPGC), Spain;Evolutionary Computation and Applications Division (CEANI), Intelligent Systems and Numerical Applications in Engineering Institute (IUSIANI), Las Palmas de Gran Canaria University (ULPGC), Spain;Evolutionary Computation and Applications Division (CEANI), Intelligent Systems and Numerical Applications in Engineering Institute (IUSIANI), Las Palmas de Gran Canaria University (ULPGC), Spain
Venue:
EMO'05 Proceedings of the Third international conference on Evolutionary Multi-Criterion Optimization
Year:
2005

Citing 11
Cited 3

A Survey of Combinatorial Gray Codes

SIAM Review
Optimising frame structures by different strategies of genetic algorithms

Finite Elements in Analysis and Design
Genetic Algorithms in Search, Optimization and Machine Learning

Genetic Algorithms in Search, Optimization and Machine Learning
Multi-Objective Optimization Using Evolutionary Algorithms

Multi-Objective Optimization Using Evolutionary Algorithms
Evolutionary Algorithms for Solving Multi-Objective Problems

Evolutionary Algorithms for Solving Multi-Objective Problems
The Nature of Mutation in Genetic Algorithms

Proceedings of the 6th International Conference on Genetic Algorithms
Reducing the bandwidth of sparse symmetric matrices

ACM '69 Proceedings of the 1969 24th national conference
An empirical study of evolutionary techniques for multiobjective optimization in engineering design

An empirical study of evolutionary techniques for multiobjective optimization in engineering design
An analysis of Gray versus binary encoding in genetic search

Information Sciences: an International Journal - Special issue: Evolutionary computation
Properties of Gray and Binary Representations

Evolutionary Computation
A fast and elitist multiobjective genetic algorithm: NSGA-II

IEEE Transactions on Evolutionary Computation

Single- and multi-objective shape design of Y-noise barriers using evolutionary computation and boundary elements

Advances in Engineering Software
Improving computational mechanics optimum design using helper objectives: an application in frame bar structures

EMO'07 Proceedings of the 4th international conference on Evolutionary multi-criterion optimization
Introducing reference point using g-dominance in optimum design considering uncertainties: an application in structural engineering

EMO'11 Proceedings of the 6th international conference on Evolutionary multi-criterion optimization

Quantified Score

Hi-index	0.00

Visualization

Abstract

A comparative study of the use of Gray coding in multicriteria evolutionary optimisation is performed using the SPEA2 and NSGAII algorithms and applied to a frame structural optimisation problem. A double minimization is handled: constrained mass and number of different cross-section types. Influence of various mutation rates is considered. The comparative statistical results of the test case cover a convergence study during evolution by means of certain metrics that measure front amplitude and distance to the optimal front. Results in a 55 bar-sized frame test case show that the use of the Standard Binary Reflected Gray code compared versus Binary code allows to obtain fast and more accurate solutions, more coverage of non-dominated fronts; both with improved robustness in frame structural multiobjective optimum design.