Robust optimization based on the Propagation of Variance method for analytic design models

References

• Al-Widyan, K., and J. Angeles. 2005. “A Model-based Formulation of Robust Design.” Journal of Mechanical Design 127 (3): 388–396.
   Web of Science ®Google Scholar
• Cho, B. R., Y. J. Kim, D. L. Kimbler, and M. D. Phillips. 2000. “An Integrated Joint Optimization Procedure for Robust and Tolerance Design.” International Journal of Production Research 38 (10): 2309–2325.
   Web of Science ®Google Scholar
• Delpiano, J., and M. Sepulveda. 2006. “Combining Iterative Heuristic Optimization and Uncertainty Analysis Methods for Robust Parameter Design.” Engineering Optimization 38 (7): 821–831.
   Web of Science ®Google Scholar
• Du, X., and W. Chen. 2000. “Towards a Better Understanding of Modeling Feasibility Robustness in Engineering Design.” Journal of Mechanical Design 122: 385–394.
   Web of Science ®Google Scholar
• Edwards, R., A. Marvin, and S. Poter. 2010. “Uncertainty Analyses in the Finite-difference Time-domain Method.” IEEE Transactions on Electromagnetic Compatibility 52 (1): 155–163.
   Web of Science ®Google Scholar
• Gao, X. K., T. S. Low, Z. J. Liu, and S. X. Chen. 2002. “Robust Design for Torque Optimization Using Response Surface Methodology.” IEEE Transactions on Magnetics 38 (2): 1141–1144.
   Web of Science ®Google Scholar
• Hippalgaonkar, R. R., and Y. C. Shin. 2011. “Robust Optimisation of Machining Conditions with Tool Life and Surface Roughness Uncertainties.” International Journal of Production Research 49 (13): 3963–3978.
   Web of Science ®Google Scholar
• Huang, B., and X. D. Du. 2006. “Uncertainty Analysis by Dimension Reduction Integration and Saddlepoint Approximations.” Journal of Mechanical Design 128: 26–33.
   Web of Science ®Google Scholar
• Jeang, A., F. Liang, and C. P. Chung. 2008. “Robust Product Development for Multiple Quality Characteristics Using Computer Experiments and an Optimization Technique.” International Journal of Production Research 46 (12): 3415–3439.
   Web of Science ®Google Scholar
• Kanj, R., R. Joshi, and S. Nassif. 2006. “Mixture Importance Sampling and its Application to the Analysis of Sram Designs in the Presence of Rare Failure Events.” In ACM/IEEE Design Automation Conference, 24–28 July, 2006, 69–72. San Francisco, California, USA.
   Google Scholar
• Kim, D., and J. Lee. 2010. “An Improvement of Kriging Based Sequential Approximate Optimization Method via Extended Use of Design of Experiments.” Engineering Optimization 42 (12): 1133–1149.
   Web of Science ®Google Scholar
• Koch, P. N., R. J. Yang, and L. Gu. 2004. “Design for Six Sigma Through Robust Optimization.” Structural and Multidisciplinary Optimization 26 (3–4): 235–248.
   Web of Science ®Google Scholar
• Koksoy, O., and T. Yalcinoz. 2008. “Robust Design Using Pareto Type Optimization: A Genetic Algorithm with Arithmetic Crossover.” Computers & Industrial Engineering 55: 208–218.
   Web of Science ®Google Scholar
• Kovach, J., and B. R. Cho. 2009. “A D-optimal Design Approach to Constrained Multiresponse Robust Design with Prioritized Mean and Variance Considerations.” Computers & Industrial Engineering 57: 237–245.
   Web of Science ®Google Scholar
• Lee, I., K. K. Choi, L. Du, and D. Gorsich. 2008. “Dimension Reduction Method for Reliability-based Robust Design Optimization.” Computers and Structures 86 (13–14): 1550–1562.
   Web of Science ®Google Scholar
• Lei, J., P. Lima-Filho, M. A. Styblinski, and C. Singh. 1998. “Propagation of Variance Using a New Approximation in System Design of Integrated Circuits.” In IEEE National Aerospace and Electronics Conference, 242–246. Dayton, OH.
   Google Scholar
• Lemaire, M. 2009. Structural Reliability. New York: ISTE, Wiley.
   Google Scholar
• Mazhoud, I., K. Hadj-Hamou, J. Bigeon, and G. Remy. 2012. “Interval-based Global Optimization in Engineering Using Model Reformulation and Constraint Propagation.” Engineering Applications of Artificial Intelligence 25 (2): 404–417.
   Web of Science ®Google Scholar
• Mazhoud, I., K. Hadj-Hamou, J. Bigeon, and P. Joyeux. 2013. “Particle Swarm Optimization for Solving Engineering Problems: A New Constraint-Handling Mechanism.” Engineering Applications of Artificial Intelligence 26 (4): 1263–1273.
   Web of Science ®Google Scholar
• Messine, F., B. Nogarede, and J. L. Lagouanelle. 1998. “Optimal Design of Electromechanical Actuators: A New Method Based on Global Optimization.” IEEE Transactions on Magnetics 34 (2): 299–308.
   Web of Science ®Google Scholar
• Mondal, S. C., J. Maiti, and P. K. Ray. 2013. “Modelling Robustness in Serial Multi-stage Manufacturing Processes.” International Journal of Production Research 51 (21): 6359–6377.
   Web of Science ®Google Scholar
• Mondal, S. C., P. K. Ray, and J. Maiti. 2014. “Modelling Robustness for Manufacturing Processes: A Critical Review.” International Journal of Production Research 52 (2): 521–538.
   Web of Science ®Google Scholar
• Picheral, L., K. Hadj-Hamou, G. Remy, and J. Bigeon. 2012. “Optimization Based on Parameter Moments Estimation for Robust Design.” In 25th IEEE Canadian Conference on Electrical and Computing Engineering (CCECE), 1–4. Montreal.
   Google Scholar
• Pro@Design. 2013. Accessed November 2013. http://designprocessing.free.fr.
   Google Scholar
• Rahman, S., and H. Xu. 2004. “A Univariate Dimension-reduction Method for Multi-dimensional Integration in Stochastic Mechanics.” Probabilistic Engineering Mechanics 19 (4): 393–408.
   Web of Science ®Google Scholar
• Saha, A., and T. Ray. 2011. “Practical Robust Design Optimization Using Evolutionary Algorithms.” Journal of Mechanical Design 133: 1–19.
   Web of Science ®Google Scholar
• Shimoyama, K., J. Lim, S. Jeong, and S. Obayashi. 2009. “Practical Implementation of Robust Design Assisted by Response Surface Approximation and Visual Data-mining.” Journal of Mechanical Design 131: 1–11.
   Web of Science ®Google Scholar
• Shin, S., N. K. Viet Truong, B. R. Cho, and S. H. Hong. 2011. “Development of a Sequential Robust-tolerance Design Model for a Destructive Quality Characteristic.” Computers & Industrial Engineering 60: 777–789.
   Web of Science ®Google Scholar
• Shin, S., and B. R. Cho. 2005. “Bias-specified Robust Design Optimization and its Analytical Solutions.” Computers & Industrial Engineering 48: 129–140.
   Web of Science ®Google Scholar
• Sibalija, T. V., V. D. Majstorovic, and Z. D. Miljkovic. 2011. “An Intelligent Approach to Robust Multi-response Process Design.” International Journal of Production Research 49 (17): 5079–5097.
   Web of Science ®Google Scholar
• Skowronski, V., and J. Turner. 1997. “Using Monte-Carlo Variance Reduction in Statistical Tolerance Synthesis.” Computer-Aided Design 29 (7): 63–69.
   Web of Science ®Google Scholar
• Tang, B. 1993. “Orthogonal Array-based Latin Hypercubes.” Journal of the American Statistical Association 88 (424): 1392–1397.
   Web of Science ®Google Scholar
• Tsai, J. 2010. “Robust Optimal-parameter Design Approach for Tolerance Design Problems.” Engineering Optimization 42 (12): 1079–1093.
   Web of Science ®Google Scholar
• Wang, G., Z. Dong, and P. Aitchison. 2001. “Adaptive Response Surface Method – A Global Optimization Scheme for Approximation-based Design Problems.” Engineering Optimization 33 (6): 707–733.
   Web of Science ®Google Scholar
• Wu, F. C., and C. C. Chyu. 2004. “Optimization of Robust Design for Multiple Quality Characteristics.” International Journal of Production Research 42 (2): 337–354.
   Web of Science ®Google Scholar
• Xiu, D. 2008. “Fast Numerical Methods for Robust Optimal Design.” Engineering Optimization 40 (6): 489–504.
   Web of Science ®Google Scholar
• Yu-Bing, G. 2010. “Robust Optimization Design of 3D MCM Packages for Reducing Warpage Under Uncertainty.” In Electronic Packaging Technology and High Density Packaging, International Conference, 571–575. Xi’an.
   Google Scholar
• Zhaoqing, T., L. Xinmin, and L. Zhongqin. 2009. “Robust Fixture Layout Design for Multi-station Sheet Metal Assembly Processes Using a GA.” International Journal of Production Research 47 (21): 6159–6176.
   Web of Science ®Google Scholar