Multiobjective Monotonicity Analysis: Pareto Set Dependency and Tradeoffs Causality in Configuration Design

Nökkvi S. Sigurdarson, Tobias Eifler, Martin Ebro, Panos Y. Papalambros

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    Abstract

    Multiobjective design optimization studies typically derive Pareto sets or use a scalar substitute function to capture design trade-offs, leaving it up to the designer's intuition to use this information for design refinements and decision making. Understanding the causality of trade-offs more deeply, beyond simple post-optimality parametric studies, would be particularly valuable in configuration design problems to guide configuration redesign. This paper presents the method of Multiobjective Monotonicity Analysis to identify root causes for the existence of trade-offs and the particular shape of Pareto sets. This analysis process involves reducing optimization models through constraint activity identification to a point where dependencies specific to the Pareto set and the constraints that cause them are revealed. The insights gained can then be used to target configuration design changes. We demonstrate the proposed approach in the preliminary design of a medical device for oral drug delivery
    Original languageEnglish
    Article number031704
    JournalJournal of Mechanical Design
    Volume144
    Issue number3
    Number of pages13
    ISSN1050-0472
    DOIs
    Publication statusPublished - 2022

    Keywords

    • Design evaluation
    • Design optimization
    • Multiobjective optimization
    • Product development
    • Systems design

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