Abstract
In this chapter, two efficient algorithms for nonlinear uncertain interval optimization are proposed with application of the surrogate model techniques.
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References
Jiang, C., Han, X., & Liu, G. P. (2008). A sequential nonlinear interval number programming method for uncertain structures. Computer Methods in Applied Mechanics and Engineering, 197, 4250–4265.
Jiang, C., Han, X., & Liu, G. P. (2008). A nonlinear interval number programming method for uncertain optimization problems. European Journal of Operational Research, 188(1), 1–13.
Rodriguez, J. F., Renaud, J. E., & Watson, L. T. (1998). Trust region augmented Lagrangian methods for sequential response surface approximation and optimization. Journal of Mechanical Design, 120, 58–66.
Jiang, C. (2008). Theories and algorithms of uncertain optimization based on interval. Ph.D. Thesis, Hunan University, Changsha.
Jiang, C., & Han, X. (2007). A new uncertain optimization method based on intervals and an approximation management model. CMES-Computer Modeling in Engineering and Science, 22(2), 97–118.
Cui, Z., Wen, G. L., Zhao, Z. H., & Jiang, C. (2010). The uncertain structural optimization based on interval number program for the spindle system of high speed grinder. Journal of Hunan University, 37(8), 29–34.
Zhao, Z. H., Han, X., Jiang, C., et al. (2010). A nonlinear interval-based optimization method with local-densifying approximation techniques. Structural and Multidisciplinary Optimization, 42, 559–573.
Wang, H. L. (2002). Study on optimal design of auto-body structure based on crashworthiness numerical simulation. Ph.D. Thesis, Shanghai Jiao Tong University, Shanghai.
Jin, R., Chen, W., & Smpson, T. W. (2001). Comparative studies of metamodeling techniques under multiple modeling criteria. Journal of Structural and Multidisciplinary Optimization, 23(1), 1–13.
Zhao, Z. H. (2012). Research on efficient algorithms of interval-based optimization under uncertainty and its applications. Ph.D. Thesis, Hunan University, Changsha.
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Han, X., Liu, J. (2020). Interval Optimization Design Based on Surrogate Models. In: Numerical Simulation-based Design. Springer, Singapore. https://doi.org/10.1007/978-981-10-3090-1_13
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DOI: https://doi.org/10.1007/978-981-10-3090-1_13
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