Good Enough is Better: Feasibility vs. Pareto-Optimality in Alloy Design

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Main Authors: Maguire, Cayden, Hardcastle, Christofer, Hastings, Trevor, Arróyave, Raymundo, Vela, Brent
Format: Preprint
Published: 2025
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author Maguire, Cayden
Hardcastle, Christofer
Hastings, Trevor
Arróyave, Raymundo
Vela, Brent
author_facet Maguire, Cayden
Hardcastle, Christofer
Hastings, Trevor
Arróyave, Raymundo
Vela, Brent
contents In alloy design, the search for candidate materials is often framed as an optimization problem, with the goal of identifying Pareto-optimal solutions across multiple objectives. However, Pareto-optimal solutions do not necessarily satisfy all minimum performance thresholds required for practical deployment. An alternative approach is to treat alloy design as a constraint satisfaction problem, in which the goal is to identify any solution that meets all bare minimum requirements across multiple quantities of interest. These approaches have yet to be benchmarked against each other in the context of realistic alloy design problems. In this work, we demonstrate that, in realistic alloy design campaigns involving multiple objectives and constraints, the constraint satisfaction framework yields a higher likelihood of finding viable alloys than optimization-based approaches. Furthermore, constraint-satisfaction approaches find the first viable alloy solutions earlier than optimization. Our results suggest that focusing on feasibility rather than optimality can lead to more actionable outcomes in materials discovery, particularly in highly constrained applications.
format Preprint
id arxiv_https___arxiv_org_abs_2510_20125
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Good Enough is Better: Feasibility vs. Pareto-Optimality in Alloy Design
Maguire, Cayden
Hardcastle, Christofer
Hastings, Trevor
Arróyave, Raymundo
Vela, Brent
Materials Science
In alloy design, the search for candidate materials is often framed as an optimization problem, with the goal of identifying Pareto-optimal solutions across multiple objectives. However, Pareto-optimal solutions do not necessarily satisfy all minimum performance thresholds required for practical deployment. An alternative approach is to treat alloy design as a constraint satisfaction problem, in which the goal is to identify any solution that meets all bare minimum requirements across multiple quantities of interest. These approaches have yet to be benchmarked against each other in the context of realistic alloy design problems. In this work, we demonstrate that, in realistic alloy design campaigns involving multiple objectives and constraints, the constraint satisfaction framework yields a higher likelihood of finding viable alloys than optimization-based approaches. Furthermore, constraint-satisfaction approaches find the first viable alloy solutions earlier than optimization. Our results suggest that focusing on feasibility rather than optimality can lead to more actionable outcomes in materials discovery, particularly in highly constrained applications.
title Good Enough is Better: Feasibility vs. Pareto-Optimality in Alloy Design
topic Materials Science
url https://arxiv.org/abs/2510.20125