This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
P. Bosman and D. Thierens, “ The balance between proximity and diversity in multiobjective evolutionary algorithms,” IEEE Transactions on Evolutionary Computation, vol. 7, no. 2, pp. 174-188, 2003.
J. Branke, “Creating robust solutions by means of evolutionary algorithms,” in Proceedings of the 5th International Conference on Parallel Problem Solving from Nature, pp. 119-128, 1998.
K. Deb, Multi-objective Optimization Using Evolutionary Algorithms, John Wiley & Sons, New York, 2001.
K. Deb and D. E. Goldberg, “An investigation on niche and species formation in genetic function optimization,” in Proceedings of Third International Conference on Genetic Algorithms, pp. 42-50, 1989.
K. Deb and H. Gupta, “Introducing robustness in multiobjective optimization,” Kanpur Genetic Algorithms Lab. (KanGAL), Indian Institue of Technology, Kanpur, India, Technical Report 2004016, 2004.
D. Buche, P. Stoll, R. Dornberger and P. Koumoutsakos, “Multiobjective Evolutionary Algorithm for the Optimization of Noisy Combustion Processes,” IEEE Transactions on Systems, Man, and CyberneticsPart C: Applications and Reviews, vol. 32, no. 4, pp. 460-473, 2002.
C. A. Coello Coello, “An empirical study of evolutionary techniques for multiobjective optimization in engineering design,” Ph.D. dissertation, Department of Computer Science, Tulane University, New Orleans, LA, 1996.
C. A. Coello Coello and A. H. Aguirre, “Design of combinational logic circuits through an evolutionary multiobjective optimization approach,” Artificial Intelligence for Engineering, Design, Analysis and Manufacture, Cambridge University Press, vol. 16, no. 1, pp. 39-53, 2002.
M. Farina and P. Amato, “A fuzzy definition of “optimality” for many-criteria optimization problems,” IEEE Transactions on Systems, Man, and CyberneticsPart A: Systems and Humans, vol. 34, no. 3, pp. 315-326, 2004.
C. M. Fonseca and P. J. Fleming, “Genetic algorithm for multiobjective optimization, formulation, discussion and generalization,” in Proceedings of the Fifth International Conference on Genetic Algorithms, pp. 416-423, 1993
C. K. Goh and K. C. Tan, “An investigation on noisy environments in evolutionary multiobjective optimization,” IEEE Transactions on Evolutionary Computation, in press.
D. E. Goldberg and J. Richardson, “Genetic algorithms with sharing for multimodal function optimization,” in Proceedings of the Second International Conference on Genetic Algorithms, pp. 41-49, 1987.
H. Gupta and K. Deb, “Handling constraints in robust multi-objective optimization” in Proceedings of the 2005 IEEE Congress on Evolutionary Computation, pp. 25-32, 2005.
Y. Jin and J. Branke, “Evolutionary Optimization in Uncertain Environments A Survey,” IEEE Transactions on Evolutionary Computation, vol. 9, no. 3, pp. 303-317, 2005.
Y. Jin and B. Sendhoff, “Tradeoff between performance and robustness: An evolutionary multiobjective approach,” in Proceedings of the Second Conference on Evolutionary Multi-Criterion Optimization, pp. 237251, 2003.
E. F. Khor, K. C. Tan, T. H. Lee and C. K. Goh, “A study on distribution preservation mechanism in evolutionary multi-objective optimization,” Artificial Intelligence Review, vol. 23, no. 1, pp. 31-56, 2005.
M. Laumanns, E. Zitzler and L. Thiele, “A unified model for multi-objective evolutionary algorithms with elitism,” in Proceedings of the 2000 Congress on Evolutionary Computation, vol. 1, pp. 46-53, 2000.
H. Lu and G. G. Yen, “Rank-based multiobjective genetic algorithm and benchmark test function study,” IEEE Transactions on Evolutionary Computation, vol. 7, no. 4, pp. 325-343, 2003.
Y. S. Ong, P. B. Nair and K. Y. Lum, “Min-Max Surrogate Assisted Evolutionary Algorithm for Robust Aerodynamic Design,” IEEE Transactions on Evolutionary Computation, vol. 10, no. 4, pp.392-404, 2006.
T. Ray, “Constrained robust optimal design using a multiobjective evolutionary algorithm,” in Proceedings of the 2002 Congress on Evolutionary Computation, pp. 419424, 2002.
N. Srinivas and K. Deb, “Multiobjective optimization using non-dominated sorting in genetic algorithms,” Evolutionary Computation, vol. 2, no. 3, pp. 221-248, 1994.
K. C. Tan, C. Y. Cheong and C. K. Goh, “Solving multiobjective vehicle routing problem with stochastic demand via evolutionary computation,” European Journal of Operational Research, in press.
K. C. Tan, C. K. Goh, Y. J. Yang and T. H. Lee, “Evolving better population distribution and exploration in evolutionary multi-objective optimization,” European Journal of Operational Research, vol. 171, no. 2, pp. 463-495, 2006.
K. C. Tan, T. H. Lee, E. F. Khor and D. C. Ang, “Design and real-time implementation of a multivariable gyro-mirror line-of-sight stabilization platform,” Fuzzy Sets and Systems, vol. 128, no. 1, pp. 81-93, 2002.
S. Tsutsui and A. Ghosh, “Genetic algorithms with a robust solution searching scheme,” IEEE Transactions on Evolutionary Computation vol. 1, no. 3, pp. 201-208, 1997.
S. Tsutsui and A. Ghosh, “A comparative study on the effects of adding perturbations to phenotypic parameters in genetic algorithms with a robust solution searching scheme,” in Proceedings of the 1999 IEEE International Conference on Systems, Man, and Cybernetics, pp. 585-591, 1999.
E. Zitzler, K. Deb, and L. Thiele, “Comparison of multiobjective evolutionary algorithms: empirical results,” Evolutionary Computation, vol. 8, no. 2, pp. 173-195, 2000.
E. Zitzler, L. Thiele, M. Laumanns, C. M. Fonseca and V. G. Fonseca, “Performance assessment of multiobjective optimizers: An analysis and review,” IEEE Transactions on Evolutionary Computation, vol. 7, no. 2, pp. 117-132, 2003.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Goh, C.K., Tan, K.C. (2007). Evolving the Tradeoffs between Pareto-Optimality and Robustness in Multi-Objective Evolutionary Algorithms. In: Yang, S., Ong, YS., Jin, Y. (eds) Evolutionary Computation in Dynamic and Uncertain Environments. Studies in Computational Intelligence, vol 51. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-49774-5_20
Download citation
DOI: https://doi.org/10.1007/978-3-540-49774-5_20
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-49772-1
Online ISBN: 978-3-540-49774-5
eBook Packages: EngineeringEngineering (R0)