CVaR Formulation of Reliability-Based Design Problems Considering the Risk of Extreme Failure Events

Yanwen Xu, Pingfeng Wang

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

Abstract

The reliability-based design optimization (RBDO) considers uncertainties under probability constraints. The probability constraint ensures a minimum level of safety, but it does not account for the risks beyond the level and potentially catastrophic accidents caused by those extreme risks. Accordingly, the optimum design based on the conventional RBDO formulation may either lead to bearing high uncontrollable risks or difficult to optimize. To capture these uncertainties and extreme risks, the risk measure of conditional-value-at-risk (CVaR), which is a coherent and adverse measure of risk, should be integrated into the RBDO formulation. This paper aims at proposing an efficient and robust reliability-based design formulation for engineering systems, which takes the advantages of the CVaR measure to manage system risks intelligently. The developed formulation helps the reliability-based design to obtain a conservative final design and control the design with extreme risks automatically. Numerical experiments demonstrate that the proposed RBDO formulation achieves a more conservative optimum design controlling extreme risks compared with the conventional RBDO formulation.

Original languageEnglish (US)
Title of host publication67th Annual Reliability and Maintainability Symposium, RAMS 2021
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781728180175
DOIs
StatePublished - 2021
Externally publishedYes
Event67th Annual Reliability and Maintainability Symposium, RAMS 2021 - Orlando, United States
Duration: May 24 2021May 27 2021

Publication series

NameProceedings - Annual Reliability and Maintainability Symposium
Volume2021-May
ISSN (Print)0149-144X

Conference

Conference67th Annual Reliability and Maintainability Symposium, RAMS 2021
Country/TerritoryUnited States
CityOrlando
Period5/24/215/27/21

Keywords

  • CVaR
  • Reliability-based design optimization
  • risk management
  • risk of extreme failure events
  • tail region control

ASJC Scopus subject areas

  • Safety, Risk, Reliability and Quality
  • Mathematics(all)
  • Computer Science Applications

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