Multi-Objective Optimization Using Evolutionary Algorithms
Multi-Objective Optimization Using Evolutionary Algorithms
Pareto-Front Exploration with Uncertain Objectives
EMO '01 Proceedings of the First International Conference on Evolutionary Multi-Criterion Optimization
Evolutionary Multi-objective Ranking with Uncertainty and Noise
EMO '01 Proceedings of the First International Conference on Evolutionary Multi-Criterion Optimization
Creating Robust Solutions by Means of Evolutionary Algorithms
PPSN V Proceedings of the 5th International Conference on Parallel Problem Solving from Nature
Faster convergence by means of fitness estimation
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Trade-off between performance and robustness: an evolutionary multiobjective approach
EMO'03 Proceedings of the 2nd international conference on Evolutionary multi-criterion optimization
Genetic algorithms with a robust solution searching scheme
IEEE Transactions on Evolutionary Computation
A fast and elitist multiobjective genetic algorithm: NSGA-II
IEEE Transactions on Evolutionary Computation
Proceedings of the 8th annual conference on Genetic and evolutionary computation
Introducing robustness in multi-objective optimization
Evolutionary Computation
The effects of solution density in the search space on finding spatially robust solutions
Proceedings of the 9th annual conference on Genetic and evolutionary computation
Robustness in multi-objective optimization using evolutionary algorithms
Computational Optimization and Applications
Journal of Global Optimization
Embedded evolutionary multi-objective optimization for worst case robustness
Proceedings of the 10th annual conference on Genetic and evolutionary computation
Multiobjective robustness for portfolio optimization in volatile environments
Proceedings of the 10th annual conference on Genetic and evolutionary computation
Introduction to Evolutionary Multiobjective Optimization
Multiobjective Optimization
Multiobjective Optimization
On Uncertainty and Robustness in Evolutionary Optimization-Based MCDM
EMO '09 Proceedings of the 5th International Conference on Evolutionary Multi-Criterion Optimization
Search based data sensitivity analysis applied to requirement engineering
Proceedings of the 11th Annual conference on Genetic and evolutionary computation
Applying Model Transformations to Optimizing Real-Time QoS Configurations in DRE Systems
QoSA '09 Proceedings of the 5th International Conference on the Quality of Software Architectures: Architectures for Adaptive Software Systems
Localization for solving noisy multi-objective optimization problems
Evolutionary Computation
An interactive evolutionary multi-objective optimization and decision making procedure
Applied Soft Computing
Interval robust multi-objective evolutionary algorithm
CEC'09 Proceedings of the Eleventh conference on Congress on Evolutionary Computation
Reliability-based multi-objective optimization using evolutionary algorithms
EMO'07 Proceedings of the 4th international conference on Evolutionary multi-criterion optimization
EMO'07 Proceedings of the 4th international conference on Evolutionary multi-criterion optimization
I-MODE: an interactive multi-objective optimization and decision-making using evolutionary methods
EMO'07 Proceedings of the 4th international conference on Evolutionary multi-criterion optimization
Multiple solutions by means of genetic programming: a collision avoidance example
RSKT'07 Proceedings of the 2nd international conference on Rough sets and knowledge technology
Robustness of multi-objective optimal solutions to physical deterioration through active control
SEAL'10 Proceedings of the 8th international conference on Simulated evolution and learning
Hierarchical stochastic metamodels based on moving least squares and polynomial chaos expansion
Structural and Multidisciplinary Optimization
Multi-objective reliability-based optimization with stochastic metamodels
Evolutionary Computation
A multi-objective approach for the motion planning of redundant manipulators
Applied Soft Computing
A preliminary study on handling uncertainty in indicator-based multiobjective optimization
EuroGP'06 Proceedings of the 2006 international conference on Applications of Evolutionary Computing
Control of robust design in multiobjective optimization under uncertainties
Structural and Multidisciplinary Optimization
Improving clonal colony optimization to evolve robust solutions
Proceedings of the 14th annual conference companion on Genetic and evolutionary computation
Structural and Multidisciplinary Optimization
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In optimization studies including multi-objective optimization, the main focus is usually placed in finding the global optimum or global Pareto-optimal frontier, representing the best possible objective values. However, in practice, users may not always be interested in finding the global best solutions, particularly if these solutions are quite sensitive to the variable perturbations which cannot be avoided in practice. In such cases, practitioners are interested in finding the so-called robust solutions which are less sensitive to small changes in variables. Although robust optimization has been dealt in detail in single-objective optimization studies, in this paper, we present two different robust multi-objective optimization procedures, where the emphasis is to find the robust optimal frontier, instead of the global Pareto-optimal front. The first procedure is a straightforward extension of a technique used for single-objective robust optimization and the second procedure is a more practical approach enabling a user to control the extent of robustness desired in a problem. To demonstrate the subtle differences between global and robust multi-objective optimization and the differences between the two robust optimization procedures, we define four test problems and show simulation results using NSGA-II. The results are useful and should encourage further studies considering robustness in multi-objective optimization.