A single-loop deterministic method for reliability-based design optimization

Fan Li, Teresa Wu, Adedeji Badiru, Mengqi Hu, Som Soni

Research output: Contribution to journalArticlepeer-review

60 Scopus citations


Reliability-based design optimization (RBDO) is a technique used for engineering design when uncertainty is being considered. A typical RBDO problem can be formulated as a stochastic optimization model where the performance of a system is optimized and the reliability requirements are treated as constraints. One major challenge of RBDO research has been the prohibitive computational expenses. In this research, a new approximation approach, termed the single-loop deterministic method for RBDO (SLDM-RBDO), is proposed to reduce the computational effort of RBDO without sacrificing much accuracy. Based on the first order reliability method, the SLDM-RBDO method converts the probabilistic constraints to approximate deterministic constraints so that the RBDO problems can be transformed to deterministic optimization problems in one step. Three comparison experiments are conducted to show the performance of the SLDM-RBDO. In addition, a reliable forearm crutch design is studied to demonstrate the applicability of SLDM-RBDO to a real industry case.

Original languageEnglish (US)
Pages (from-to)435-458
Number of pages24
JournalEngineering Optimization
Issue number4
StatePublished - Apr 1 2013


  • first order reliability method (FORM)
  • most probable point (MPP)
  • probabilistic optimization
  • reliability-based design optimization (RBDO)
  • uncertainty

ASJC Scopus subject areas

  • Computer Science Applications
  • Control and Optimization
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering
  • Applied Mathematics


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