Reliability-based design optimization of large-scale complex systems

PUBLICATIONS

  

Journal Articles

  1. Ren, X. and Rahman, S., “Robust Design Optimization by Polynomial Dimensional Decomposition,” submitted to Structural and Multidisciplinary Optimization, 2012.
  2. Rahman, S. and Ren, X., “Polynomial Dimensional Decomposition for Stochastic Sensitivity Analysis of Moments,” submitted to Probabilistic Engineering Mechanics, 2012.
  3. Rahman, S., “Uncertainty Quantification of High-Dimensional Models,” submitted to SIAM Journal of Scientific Computing, 2012.
  4. Rahman, S., “Approximation Errors in Truncated Dimensional Decompositions,” submitted to Mathematics of Computation, 2012.
  5. Rahman, S. and Xu. H., “Comments on High-dimensional Model Representation for Structural Reliability Analysis,” International Journal for Numerical Methods in Biomedical Engineering, Vol. 27, pp. 1652-1659, 2011.
  6. Rahman, S., “Global Sensitivity Analysis by Polynomial Dimensional Decomposition,” Reliability Engineering & System Safety, Vol. 96, No. 7, pp. 825-837, 2011.
  7. Rahman, S., “Statistical Moments of Polynomial Dimensional Decomposition,” Journal of Engineering Mechanics, Vol. 136, No. 7, pp. 923-927, 2010.

 

 

Papers in Conferences, Symposiums, and Congresses

  1. Ren, X. and Rahman, S., “Robust Design Optimization by Polynomial Dimensional Decomposition,” Proceedings of 14th AIAA/ISSMO Multidisciplinary Analysis Optimization Conference, Indianapolis, IN, September 2012.
  2. Rahman, S., “Approximation Error in Truncated Dimensional Decomposition for Uncertainty Quantification,” Proceedings of 14th AIAA/ISSMO Multidisciplinary Analysis Optimization Conference, Indianapolis, IN, September 2012.
  3. Ren, X. and Rahman, S., “Reliability-based Design Optimization by Polynomial Dimensional Decomposition,” Proceedings of 11th ASCE Joint Specialty Conference on Probabilistic Mechanics and Structural Reliability, South Bend, IN, June 2012.
  4. Rahman, S., “A Generalized ANOVA Dimensional Decomposition for Arbitrary Probability Measures,” Proceedings of 11th ASCE Joint Specialty Conference on Probabilistic Mechanics and Structural Reliability, South Bend, IN, June 2012.
  5. Rahman, S., “Reliability-Based Design Optimization of Large-Scale Complex Systems,” Proceedings of NSF Engineering Research and Innovation Conference, Boston, MA, July 2012.
  6. Rahman, S., “Global Sensitivity Analysis by Polynomial Dimensional Decomposition,” Proceedings of 2011 Engineering Mechanics Conference, Boston, MA, June 2-4, 2011.
  7. Rahman, S., “Reliability-Based Design Optimization of Large-Scale Complex Systems,” Proceedings of NSF Engineering Research and Innovation Conference, Atlanta, GA, January 2011.
  8. Rahman, S., “An Extended Polynomial Dimensional Decomposition Method for Arbitrary Probability Distributions,” Proceedings of 13th AIAA/ISSMO Multidisciplinary Analysis Optimization Conference, Fort Worth, TX, September 13-15, 2010.
  9. Rahman, S. and Wei, D., “Reliability-based Design Optimization by a Univariate Decomposition Method,” Proceedings of 13th AIAA/ISSMO Multidisciplinary Analysis Optimization Conference, Fort Worth, TX, September 13-15, 2010.
  10. Rahman, S., “Extended Polynomial Dimensional Decomposition for Arbitrary Probability Measures,” Proceedings of ASCE Engineering Mechanics Conference, Los Angeles, CA, August 8-11, 2010.

 

 

Others

  1. Poster presentation at NSF Grantees Conference, Atlanta, GA, January 2011 (poster_2011.pdf).