A multi-objective robust optimization framework that incorporates a robustness index for each objective has been developed in a bi-level approach. The top level of the framework consists of the standard optimization problem formulation with the addition of a robustness constraint. The bottom level uses the Worst Case Sensitivity Region (WCSR) concept previously developed to solve single objective robust optimization problems. In this framework, a separate robustness index for each objective allows the designer to choose the importance of each objective. The method is demonstrated on a commonly studied two-bar truss structural optimization problem. The results of the problem demonstrate the effectiveness and usefulness of the multiple robustness index capabilities added to this framework. A multi-objective genetic algorithm, NSGA-II, is used in both levels of the framework.
A Bi-Level Multi-Objective Robust Design Optimization Method With Multiple Robustness Index Capabilities
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Letcher, T, & Shen, MH. "A Bi-Level Multi-Objective Robust Design Optimization Method With Multiple Robustness Index Capabilities." Proceedings of the ASME 2011 International Mechanical Engineering Congress and Exposition. Volume 1: Advances in Aerospace Technology; Energy Water Nexus; Globalization of Engineering; Posters. Denver, Colorado, USA. November 11–17, 2011. pp. 173-180. ASME. https://doi.org/10.1115/IMECE2011-64336
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