CUED Publications database

Design optimization using multiple dominance relations

Cook, LW and Willcox, KE and Jarrett, JP (2020) Design optimization using multiple dominance relations. International Journal for Numerical Methods in Engineering, 121. pp. 2481-2502. ISSN 0029-5981

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Abstract

A challenge in engineering design is to choose suitable objectives and constraints from many quantities of interest, while ensuring an optimization is both meaningful and computationally tractable. We propose an optimization formulation that can take account of more quantities of interest than existing formulations, without reducing the tractability of the problem. This formulation searches for designs that are optimal with respect to a binary relation within the set of designs that are optimal with respect to another binary relation. We then propose a method of finding such designs in a single optimization by defining an overall ranking function to use in optimizers, reducing the cost required to solve this formulation. In a design under uncertainty problem, our method obtains the most robust design that is not stochastically dominated faster than a multiobjective optimization. In a car suspension design problem, our method obtains superior designs according to a k-optimality condition than previously suggested multiobjective approaches to this problem. In an airfoil design problem, our method obtains designs closer to the true lift/drag Pareto front using the same computational budget as a multiobjective optimization.

Item Type: Article
Subjects: UNSPECIFIED
Divisions: Div C > Engineering Design
Depositing User: Cron Job
Date Deposited: 22 Jan 2021 20:16
Last Modified: 17 Aug 2021 06:37
DOI: 10.1002/nme.6316