Towards a better understanding of modeling feasibility robustness in engineering design

Xiaoping Du, Wei Chen

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

9 Scopus citations


In robust design, it is important not only to achieve robust design objectives but also to maintain the robustness of design feasibility under the effect of variations (or uncertainties). However, the evaluation' of feasibility robustness is often a computationally intensive process. Simplified approaches in existing robust design applications may lead to either overconservative or infeasible design solutions. In this paper, several feasibility-modeling techniques for robust optimization are examined. These methods are classified into two categories: methods that require probability and statistical analyses (i.e., the probabilistic feasibility formulation and the moment matching method) and methods do not require probability and statistical analyses (i.e., the worst case analysis, the comer space evaluation, and the variation pattern method). Using illustrative examples, the effectiveness of each method is compared in terms of its efficiency and accuracy. Constructive recommendations are made to employ different techniques for modeling feasibility robustness under different circumstances. Under the framework of probabilistic robust optimization, we propose to use a most probable point (MPP) based importance sampling method, a method rooted in the field of reliability analysis, for evaluating the feasibility robustness. The advantages of this approach are discussed. Though our discussions are centered on robust design, the principles presented are also applicable for general probabilistic optimization problems. The practical significance of this work also lies in the development of efficient feasibility evaluation methods that can support quality engineering practice, such as the Six Sigma approach that is being widely used in American industry.

Original languageEnglish (US)
Title of host publication25th Design Automation Conference
PublisherAmerican Society of Mechanical Engineers (ASME)
Number of pages12
ISBN (Electronic)9780791819715
StatePublished - 1999
Externally publishedYes
EventASME 1999 Design Engineering Technical Conferences, DETC 1999 - Las Vegas, United States
Duration: Sep 12 1999Sep 16 1999

Publication series

NameProceedings of the ASME Design Engineering Technical Conference


ConferenceASME 1999 Design Engineering Technical Conferences, DETC 1999
CountryUnited States
CityLas Vegas

ASJC Scopus subject areas

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

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