Keywords: active set strategy, adaptive sequential linear programnming, Baysian, continuous-discrete uncertainties, hierarchical decomposition, incomplete uncertainty information, moment matching, monotonicity, multilevel system, probabilistic design, probabilistic target cascading, reliability estimation, time history metrics, uncertainty propagation, uncertainty quantification, validation, vehicle emission regulation, vehicle safety
Note: Design under uncertainty is a broad topic that includes Reliability-Based Design Optimization (RBDO) and Robust Design.
Youn, B. D., Kokkolaras, M., Mourelatos, Z. P., Papalambros, P. Y., Choi, K. K., and Gorsich, D., "Uncertainty Propagation Techniques for Probabilistic Design of Multilevel Systems". Proceedings of the 10th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Albany, New York, August 30 - September 1, 2004, AIAA-2004-4470.
Kokkolaras, M., Mourelatos, Z. P., and Papalambros, P. Y., "Design Optimization of Hierarchically Decomposed Multilevel System under Uncertainty". Proceedings of the ASME Design Engineering Technical Conferences, Salt Lake City, Utah, September 28 - October 2, 2004, DETC2004/DAC-57357. See also the 2006 journal version.
Liu, H., Chen, W., Kokkolaras, M., Papalambros, P. Y., and Kim, H. M., "Probabilistic Analytical Target Cascading - A Moment Matching Formulation for Multilevel Optimization under Uncertainty", ASME Design Engineering Technical Conference, Long Beach, CA, September 24-28, 2005, DETC2005-84928. See also the 2006 journal version.
Gunawan, S. and Papalambros, P. Y., "Reliability Optimization Involving Mixed Continuous-Discrete Uncertainties", ASME Design Engineering Technical Conference, Long Beach, CA, September 24-28, 2005, DETC2005-84514. See also the 2007 journal version.
Chan, K. Y., Kokkolaras, M., Morelatoes, Z., Papalambros, P., and Skerlos, S., "Propagation of Uncertainty in Optimal Design of Multilevel Systems- A Case Study in Piston Ring/Cylinder Line Subassembly", SAE 2004 Transactions Journal of Material & Manufacturing, 2005, SAE paper 2004-01-1559. See also the 2004 conference version.
Chan, K.-Y., Skerlos, J. S., and Papalambros, P. Y., "Monotonicity and Active Set Strategies in Probabilistic Design Optimization", the ASME International Mechanical Engineering Congress and Exposition, Orlando, FL, November 5-11, 2005, IMECE2005-80965.
Chan, K.-Y., Skerlos, S. J., and Papalambros, P. Y., "An adaptive sequential linear programming algorithm for optimal design problems with probabilistic constraints", ASME Design Engineering Technical Conference, Long Beach, CA, September 24-28, 2005, DETC2005-84489. See also the 2007 journal version.
Liu, H., Chen, W., Kokkolaras, M., Papalambros, P. Y., and Kim, H. M., "Probabilistic Analytical Target Cascading - A Moment Matching Formulation for Multilevel Optimization under Uncertainty", Journal of Mechanical Design, Vol. 128, No. 4, 2006, pp. 991-1000. See also the 2005 conference version.
Kokkolaras, M., Mourelatos, Z. P., and Papalambros, P. Y., "Design Optimization of Hierarchically Decomposed Multilevel Systems under Uncertainty", Journal of Mechanical Design, Vol. 128, No. 2, 2006, pp. 503-508.
Kokkolaras, M., Mourelatos, Z. P., and Papalambros, P. Y., "Impact of uncertainty quantification on design: an engine optimisation case study",International Journal of Reliability and Safety, Vol. 1, No. 1-2, 2006, pp. 225-237. See also the 2006 conference version.
Kokkolaras, M., Mourelatos, Z. P., and Papalambros, P. Y., "Impact of Uncertainty Quantification on Design Decisions for a Hydraulic-Hybrid Powertrain Engine ", the Proceedings of the 47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Newport, Rhode Island, May 1-4, 2006, AIAA-2006-2001. See also the 2006 journal version.
Gunawan, S., Kokkolaras, M., and Papalambros, P., "Design Optimization and Reliability Estimation with Incomplete Uncertainty Information",Proceedings of the Society of Automotive Engineers World Congress, Detroit, MI, April 3-6, 2006, SAE 2006-01-0962.
Gunawan, S. and Papalambros, P. Y., "A Bayesian Approach to Reliability Optimization with Incomplete Information", Journal of Mechanical Design, Vol. 128, No. 4, 2006, pp. 909-918.
Chan, K.-Y., Skerlos, J. S., and Papalambros, P. Y., "Optimal Design with Non-Normally Distributed Random Parameters, Conditional Probability, and Joint Constraint Reliabilities: A Case Study in Vehicle Emissions Regulations to Achieve Ambient Air Quality", the Proceedings of the 2006 ASME International Design Engineering Technical Conferences & Computers and Information In Engineering Conference, Philadelphia, PA, Sep 10-13, 2006, DETC2006/DAC-99417.
Chan, K.-Y., Gunawan, S., Papalambros, P. Y., Brudnak, M. J., and Van den Bergh, G., "Software Integration for Simulation-based Analysis and Robust Design Automation of HMMWV Rollover Behavior", the Proceedings of the Society of Automotive Engineers World Congress, Detroit, MI, April, 2007, SAE 2007-01-0140 .
Chan, K.-Y., Skerlos, S. J., and Papalambros, P., "An Adaptive Sequential Linear Programming Algorithm for Optimal Design Problems With Probabilistic Constraints", Journal of Mechanical Design, Vol. 129, No. 2, 2007, pp. 140-149. See also the 2005 conference version.
Gunawan, S. and Papalambros, P. Y., "Reliability Optimization With Mixed Continuous-Discrete Random Variables and Parameters", Journal of Mechanical Design, Vol. 129, No. 2, 2007, pp. 158-165. See also the 2005 conference version.
Han, J. W. and Papalambros, P. Y., "An SLP Filter Algorithm for Probabilistic Analytical Target Cascading", the 7th World Congress on Structural and Multidisciplinary Optimization, COEX Seoul, Korea, May 21-25, 2007.
Sarin, H., Kokkolaras, M., Hulbert, G., and Papalambros, P., "A Comprehensive Metric for Comparing Time Histories in Validation of Simulation Models with Emphasis on Vehicle Safety Applications", 2008 ASME International Design Engineering Technical Conferences, New York, NY, August 3-6, 2008, DETC2008/DAC-49669.
Kokkolaras, M. and Papalambros, P. Y. "Nondeterministic Formulations of Analytical Target Cascading for Decomposition-based Design Optimization Under Uncertainty ", in Structural Design Optimization Considering Uncertainties eds. Tsompanakis, Y., Lagaros, N., and Papadrakakis, M. Taylor and Francis, 2008, 1st, pp. 115-133.
Li, J., Mourelatos, Z. P., Kokkolaras, M., Papalambros, P. Y., and Gorsich, D. J., "Validating Designs through Sequential Simulation-Based Optimization", 2010 ASME International Design Engineering Technical Conferences, Montreal, Canada, August 15-18, 2010, DETC2010-28431.