Pareto gamuts

Abstract

Manufactured parts are meticulously engineered to perform well with respect to several conflicting metrics, like weight, stress, and cost. The best achievable trade-offs reside on the Pareto front , which can be discovered via performance-driven optimization. The objectives that define this Pareto front often incorporate assumptions about the context in which a part will be used, including loading conditions, environmental influences, material properties, or regions that must be preserved to interface with a surrounding assembly. Existing multi-objective optimization tools are only equipped to study one context at a time, so engineers must run independent optimizations for each context of interest. However, engineered parts frequently appear in many contexts: wind turbines must perform well in many wind speeds, and a bracket might be optimized several times with its bolt-holes fixed in different locations on each run. In this paper, we formulate a framework for variable-context multi-objective optimization. We introduce the Pareto gamut , which captures Pareto fronts over a range of contexts. We develop a global/local optimization algorithm to discover the Pareto gamut directly, rather than discovering a single fixed-context "slice" at a time. To validate our method, we adapt existing multi-objective optimization benchmarks to contextual scenarios. We also demonstrate the practical utility of Pareto gamut exploration for several engineering design problems.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jul 19, 2021
Source ID
10.1145/3450626.3459750

Entities

People

  • Adriana Schulz
  • Justin Solomon
  • Liane Makatura
  • Minghao Guo
  • Wojciech Matusik

Organizations

  • Defense Advanced Research Projects Agency
  • Massachusetts Institute of Technology
  • National Science Foundation
  • The Chinese University of Hong Kong
  • University of Washington

Tags

Readers

  • Operations Research
  • Systems Analysis and Design