“…The probabilistic-based design optimization methodologies can be classified in the following formulations: robust design optimization (RDO) (Anthony and Keane, 2003;Beyer and Sendhoff, 2007;Doltsinis et al, 2005;Lagaros and Papadrakakis, 2007;McAllister and Simpson, 2003;Park et al, 2006;Parkinson et al, 2007;Rangavajhala et al, 2007;Ray and Smith, 2006;Schumacher and Olschinka, 2008;Zang et al, 2005) and reliability-based design optimization (RBO) (Acar and Haftka, 2007;Agarwal and Renaud, 2004;Du et al, 2006;Frangopol and Maute, 2003;Gunawan and Papalambros, 2006;Jensen et al, 2008;Jiang et al, 2000;Lagaros et al, 2008;Liang et al, 2007;Moses, 1997;Nikolaidis, 2007;Pu et al, 1997;Rackwitz, 2004;Repalle and Grandhi, 2005;Royset et al, 2001;Sørensen and TarpJohansen, 2005;Streicher and Rackwitz, 2004;Taflanidis and Beck, 2008). RDO methods primarily seek to minimize the influence of random variations of the nominal structural dimensions, material parameters and loading on the response of the structure.…”