In the presence of multiple optimal solutions in multi-modal optimization problems and in multi-objective optimization problems, the designer may be interested in the robustness of those solutions to make a decision. Here, the robustness is related to the sensitivity of the performance functions to uncertainties. The uncertainty sources include the uncertainties in the design variables, in the design environment parameters, in the model of objective functions and in the designer’s preference. There exist many robustness indices in the literature that deal with small variations in the design variables and design environment parameters, but few robustness indices consider large variations. In this paper, a new robustness index is introduced to deal with large variations in the design environment parameters. The proposed index is bounded between zero and one, and measures the probability of a solution to be optimal with respect to the values of the design environment parameters. The larger the robustness index, the more robust the solution with regard to large variations in the design environment parameters. Finally, two illustrative examples are given to highlight the contributions of this paper.
Skip Nav Destination
ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
August 4–7, 2013
Portland, Oregon, USA
Conference Sponsors:
- Design Engineering Division
- Computers and Information in Engineering Division
ISBN:
978-0-7918-5589-8
PROCEEDINGS PAPER
Robustness Against Large Variations in Multi-Objective Optimization Problems Available to Purchase
Weijun Wang,
Weijun Wang
Ecole Centrale de Nantes, Institut de Recherche en Communications et Cybernétique de Nantes, Nantes, France
Search for other works by this author on:
Stéphane Caro,
Stéphane Caro
CNRS, Institut de Recherche en Communications et Cybernétique de Nantes, Nantes, France
Search for other works by this author on:
Fouad Bennis
Fouad Bennis
Ecole Centrale de Nantes, Institut de Recherche en Communications et Cybernétique de Nantes, Nantes, France
Search for other works by this author on:
Weijun Wang
Ecole Centrale de Nantes, Institut de Recherche en Communications et Cybernétique de Nantes, Nantes, France
Stéphane Caro
CNRS, Institut de Recherche en Communications et Cybernétique de Nantes, Nantes, France
Fouad Bennis
Ecole Centrale de Nantes, Institut de Recherche en Communications et Cybernétique de Nantes, Nantes, France
Paper No:
DETC2013-12337, V03BT03A027; 12 pages
Published Online:
February 12, 2014
Citation
Wang, W, Caro, S, & Bennis, F. "Robustness Against Large Variations in Multi-Objective Optimization Problems." Proceedings of the ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 3B: 39th Design Automation Conference. Portland, Oregon, USA. August 4–7, 2013. V03BT03A027. ASME. https://doi.org/10.1115/DETC2013-12337
Download citation file:
10
Views
Related Proceedings Papers
Related Articles
Uncertainty of Integral System Safety in Engineering
ASME J. Risk Uncertainty Part B (June,2022)
Multi-Objective Optimal Design of Stationary Flat-Plate Solar Collectors Under Probabilistic Uncertainty
J. Mech. Des (September,2010)
Examining the Robustness of Grasping Force Optimization Methods Using
Uncertainty Analysis
ASME J. Risk Uncertainty Part B (December,2018)
Related Chapters
Model-Building for Robust Reinforcement Learning
Intelligent Engineering Systems through Artificial Neural Networks, Volume 20
Utility Function Fundamentals
Decision Making in Engineering Design
Advances in the Stochastic Modeling of Constitutive Laws at Small and Finite Strains
Advances in Computers and Information in Engineering Research, Volume 2