Open Access
Int. J. Simul. Multidisci. Des. Optim.
Volume 8, 2017
Article Number A13
Number of page(s) 8
Published online 04 December 2017
  • S. Sundaresan, K. Ishii, D.R. Houser, A robust optimization procedure with variations on design variables and constraints, Eng. Optim. 24, 101–117 (1995) [CrossRef] [Google Scholar]
  • A. Parkinson, C. Sorensen, N. Pourhassan, A general approach for robust optimal design, J. Mech. Des. 115, 74–80 (1993) [CrossRef] [Google Scholar]
  • K.H. Lee, G.J. Park, Robust optimization considering tolerances of design variables, Comput. Struct. 79, 77–86 (2001) [CrossRef] [Google Scholar]
  • X. Du, W. Chen, Towards a better understanding of modeling feasibility robustness in engineering design, J. Mech. Des. 122, 385–394 (2000) [CrossRef] [Google Scholar]
  • D. Ullman, Robust decision-making for engineering design, J. Eng. Des. 12, 3–13 (2001) [CrossRef] [Google Scholar]
  • A. Zakarian, J.W. Knight, L. Baghdasaryan, Modelling and analysis of system robustness., J. Eng. Des. 18, 243–263 (2007) [CrossRef] [Google Scholar]
  • J. Olvander, Robustness considerations in multi-objective optimal design, J. Mech. Des 16, 511–523 (2005) [Google Scholar]
  • J.S. Kang, M.H. Suh, Robust economic optimization of process design under uncertainty, Eng. Optim. 36, 51–75 (2004) [CrossRef] [Google Scholar]
  • J.S. Kang, T.Y. Lee, D.Y. Lee, Robust optimization for engineering design, Eng. Optim. 44, 175–194 (2012) [CrossRef] [Google Scholar]
  • L. Wang, X. Wang, X. Yong, Hybrid reliability analysis of structures with multi-source uncertainties, Acta Mech. 225, 413–430 (2014) [CrossRef] [Google Scholar]
  • L. Wang, X. Wang, R. Wang, X. Chen, Reliability-based design optimization under mixture of random, interval and convex uncertainties, Arch. Appl. Mech. 86, 1341–1367 (2016) [CrossRef] [Google Scholar]
  • L. Wang, X. Wang , H. Su, G. Lin, Reliability estimation of fatigue crack growth prediction via limited measured data, Int. J. Mech. Sci. 121, 44–57 (2017) [CrossRef] [Google Scholar]
  • W. Chen, M.M. Wiecek, Compromise programming approach to robust design, J. Mech. Des. 121, 179–188 (1999) [CrossRef] [Google Scholar]
  • X. Lu, X. Li, Perturbation theory based robust design under model uncertainty, J. Mech. Des. 131, 111006 (2009) [CrossRef] [Google Scholar]
  • B. Huang, X. Du, Analytical robustness assessment for robust design, Struct. Multidiscip. Optim. 34, 123–137 (2007) [CrossRef] [Google Scholar]
  • A.L. Soyster, Convex programming with set-inclusive constraints and applications to inexact linear programming, Oper. Res. 21, 1154–1157 (1973) [CrossRef] [Google Scholar]
  • D. Bertsimas, M. Sim, The price of robustness, Oper. Res. 52, 35–53 (2004) [CrossRef] [MathSciNet] [Google Scholar]
  • S. Advani, Linear programming approach to air-Cleaner design, Oper. Res. 22, 295–297 (1974) [CrossRef] [Google Scholar]
  • D. Bertsimas, O. Nohadani, Nonconvex robust optimization for problems with constraints, INFORMS J. Comput. 22, 22–58 (2009) [Google Scholar]
  • X. Chen, M. Sim, P. Sun, A robust optimization perspective on stochastic programming, Oper. Res. 55, 1058 (2007) [CrossRef] [Google Scholar]
  • D.C. Montgomery, Introduction to Statistical Quality Control, edited by N.J. Hoboken (John Wiley & Sons Inc., New York, 2009) [Google Scholar]
  • D. Xu, S.L. Albin, Robust optimization of experimentally derived objective functions, IIE Trans. 35, 793–802 (2003) [CrossRef] [Google Scholar]
  • L.El. Ghaoui, H. Laurent, Robust solutions to least-squares problems with uncertain data, SIAM J. Matrix Anal. Appl. 18, 1035 (1997) [CrossRef] [Google Scholar]