Traditional robust optimization formulations can be considered to be “passive” in the sense that they can obtain optimized design and operational solutions for a system for all realizations of uncertainty. However, flexibility in the system’s operation can be used to devise formulations that obtain solutions that are optimum for all realizations of uncertainty while operational variables are used to mitigate or eliminate the effects of uncertainty. The objective of this paper is to extend existing formulations in single-objective robust optimization to multi-objective robust optimization with or without operational flexibility under discretized uncertainty. The formulations with operational flexibility are referred to as flexible optimization. The flexible optimization formulations and corresponding solutions are demonstrated and compared with those from robust and deterministic optimization formulations using numerical examples, and an engineering example with black-box objective and constraint functions.
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ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
August 21–24, 2016
Charlotte, North Carolina, USA
Conference Sponsors:
- Design Engineering Division
- Computers and Information in Engineering Division
ISBN:
978-0-7918-5011-4
PROCEEDINGS PAPER
Multi-Objective Robust Optimization Formulations With Operational Flexibility and Discretized Uncertainty
Shapour Azarm,
Shapour Azarm
University of Maryland, College Park, MD
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Yu-Tai Lee
Yu-Tai Lee
NSWC, West Bethesda, MD
Search for other works by this author on:
Shapour Azarm
University of Maryland, College Park, MD
Yu-Tai Lee
NSWC, West Bethesda, MD
Paper No:
DETC2016-59933, V02BT03A052; 11 pages
Published Online:
December 5, 2016
Citation
Azarm, S, & Lee, Y. "Multi-Objective Robust Optimization Formulations With Operational Flexibility and Discretized Uncertainty." Proceedings of the ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 2B: 42nd Design Automation Conference. Charlotte, North Carolina, USA. August 21–24, 2016. V02BT03A052. ASME. https://doi.org/10.1115/DETC2016-59933
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