Equality Constraints in Multiobjective Robust Design Optimization: Decision Making Problem |
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Authors: | S Rangavajhala A A Mullur A Messac |
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Institution: | (1) Department of Mechanical, Aerospace, and Nuclear Engineering, Rensselaer Polytechnic Institute, 110 8th Street, Troy, NY 12180, USA |
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Abstract: | Robust design optimization (RDO) problems can generally be formulated by incorporating uncertainty into the corresponding
deterministic problems. In this context, a careful formulation of deterministic equality constraints into the robust domain
is necessary to avoid infeasible designs under uncertain conditions. The challenge of formulating equality constraints is
compounded in multiobjective RDO problems. Modeling the tradeoffs between the mean of the performance and the variation of
the performance for each design objective in a multiobjective RDO problem is itself a complex task. A judicious formulation
of equality constraints adds to this complexity because additional tradeoffs are introduced between constraint satisfaction
under uncertainty and multiobjective performance. Equality constraints under uncertainty in multiobjective problems can therefore
pose a complicated decision making problem. In this paper, we provide a new problem formulation that can be used as an effective
multiobjective decision making tool, with emphasis on equality constraints. We present two numerical examples to illustrate
our theoretical developments. |
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Keywords: | Robust design optimization Equality constraints Uncertainty |
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