An inverse-measure-based unilevel architecture for reliability-based design optimization

By Harish Agarwal, Chandan Mozumder, John E. Renaud, L. Watson. 2007

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Robustness-based design optimization under data uncertainty (2011, methodology): “Reliability-based design (e.g., Chiralaksanakul and Mahadevan 2005 ;R amu et al. 2006; Agarwal et al. 2007; Du and Beiqing Huang 2007) and robust design (e.g., Parkinson et al. 1993 ;D u and Chen 2000; Doltsinis and Kang 2004; Huang and Du 2007 )a re two directions pursued by these methods.”
Reliability‐based design optimization with dependent interval variables (2012, background): “In other words, the reliability analysis optimization in Equation (13) is embedded in the overall optimization in Equation (12).”
A survey on approaches for reliability-based optimization (2010, methodology): “More recently, in Agarwal et al (2007), an approach similar to the one introduced in Kuschel and Rackwitz (1997) was developed, with the difference that the probabilistic constraints are formulated using the iFORM approach and that the calculation of second order sensitivities is avoided by…”