Measuring and optimizing design variety using herfindahl index

Faez Ahmed, Sharath Kumar Ramachandran, Mark Fuge, Sam Hunter, Scarlett Miller

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper, we propose a new design variety metric based on the Herfindahl index. We also propose a practical procedure for comparing variety metrics via the construction of ground truth datasets from pairwise comparisons by experts. Using two new datasets, we show that this new variety measure aligns with human ratings more than some existing and commonly used tree-based metrics. This metric also has three main advantages over existing metrics: a) It is a super-modular function, which enables us to optimize design variety using a polynomial time greedy algorithm. b) The parametric nature of this metric allows us to fit the metric to better represent variety for new domains. c) It has higher sensitivity in distinguishing between variety of sets of randomly selected designs than existing methods. Overall, our results shed light on some qualities that good design variety metrics should possess and the non-trivial challenges associated with collecting the data needed to measure those qualities.

Original languageEnglish (US)
Title of host publication31st International Conference on Design Theory and Methodology
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Electronic)9780791859278
DOIs
StatePublished - Jan 1 2019
EventASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2019 - Anaheim, United States
Duration: Aug 18 2019Aug 21 2019

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
Volume7

Conference

ConferenceASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC-CIE 2019
CountryUnited States
CityAnaheim
Period8/18/198/21/19

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All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Computer Graphics and Computer-Aided Design
  • Computer Science Applications
  • Modeling and Simulation

Cite this

Ahmed, F., Ramachandran, S. K., Fuge, M., Hunter, S., & Miller, S. (2019). Measuring and optimizing design variety using herfindahl index. In 31st International Conference on Design Theory and Methodology (Proceedings of the ASME Design Engineering Technical Conference; Vol. 7). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/DETC2019-97778