Updating kriging surrogate models based on the hypervolume indicator in multi-objective optimization

Journal of Mechanical Design, Transactions of the ASME

Volumn 135, Issue 9, 2013, Pages

  Shimoyama, Koji ^a   Sato, Koma ^b   Jeong, Shinkyu ^c   Obayashi, Shigeru ^a  

^a TOHOKU UNIVERSITY   (Japan)

^b HITACHI LTD   (Japan)

^c Kyung Hee University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

FUEL ADDITIVES; INTERPOLATION; STOCHASTIC SYSTEMS; UNCERTAINTY ANALYSIS;

EXPECTED IMPROVEMENTS; HYPERVOLUME; HYPERVOLUME INDICATORS; KRIGING MODEL; KRIGING SURROGATE MODEL; MODEL-BASED OPC; MULTI-OBJECTIVES OPTIMIZATION; NONDOMINATED SOLUTIONS; STOCHASTICS; UNCERTAINTY;

MULTIOBJECTIVE OPTIMIZATION;

EID: 84903612920     PISSN: 10500472     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.4024849     Document Type: Article

References (24)

1. Myers, R. H., and Montgomery, D. C., 1995, Response Surface Methodology: Process and Product Optimization Using Designed Experiments, Wiley, New York.
2. Wang, G. G., 2003, "Adaptive Response Surface Method Using Inherited Latin Hypercube Design Points," ASME J. Mech. Des., 125(2), pp. 210-220.
3. Bishop, C. M., 1995, Neural Networks for Pattern Recognition, Oxford University, Oxford.
4. Sacks, J., Welch, W. J., Mitchell, T. J., and Wynn, H. P., 1989, "Design and Analysis of Computer Experiments," Statist. Sci., 4(4), pp. 409-435.
5. Jones, D. R., Schonlau, M., and Welch, W. J., 1998, "Efficient Global Optimization of Expensive Black-Box Function," J. Global Optim., 13, pp. 455-492. (Pubitemid 128507405)
6. Jeong, S., Minemura, Y., and Obayashi, S., 2006, "Optimization of Combustion Chamber for Diesel Engine Using Kriging Model," J. Fluid Sci. Technol., 1 (2), pp. 138-146.
7. Li, M., Li, G., and Azarm, S., 2008, "A Kriging Metamodel Assisted Multi-Objective Genetic Algorithm for Design Optimization," ASME J. Mech. Des., 130(3), p. 031401.
8. Li, M., 2011, "An Improved Kriging-Assisted Multi-Objective Genetic Algorithm," ASME J. Mech. Des., 133(7), p. 071008.
9. Martin, J. D., 2009, "Computational Improvements to Estimating Kriging Metamodel Parameters," ASME J. Mech. Des., 131(8), p. 084501.
10. Shimoyama, K., Lim, J. N., Jeong, S., Obayashi, S., and Koishi,M., 2009, "Practical Implementation of Robust Design Assisted by Response Surface Approximation and Visual Data-Mining," ASMEJ.Mech.Des., 131(6), p. 0610071.
11. Hamel, J. M., and Azarm, S., 2011, "Reducible Uncertain Interval Design by Kriging Metamodel Assisted Multi-Objective Optimization," ASME J. Mech. Des., 133(1), p. 011002.
12. Wang, G. G., and Shan, S., 2007, "Review of Metamodeling Techniques in Support of Engineering Design Optimization," ASME J. Mech. Des., 129(4), pp. 370-380. (Pubitemid 46736217)
13. Łaniewski-Wołłk, Ł., Obayashi, S., and Jeong, S., 2010, "Development of Expected Improvement for Multi-Objective Problem," Proceedings of 42nd Fluid Dynamics Conference/Aerospace Numerical Simulation Symposium 2010.
14. Emmerich, M. T. M., Deutz, A. H., and Klinkenberg, J. W., 2011, "Hypervolume-Based Expected Improvement: Monotonicity Properties and Exact Computation," Proceedings of the 2011 IEEE Congress on Evolutionary Computation, IEEE Press, pp. 2147-2154.
15. Zitzler, E., and Thiele, L., 1998, "Multiobjective Optimization Using Evolutionary Algorithms - A Comparative Case Study," Proceedings of the 5th International Conference on Parallel Problem Solving From Nature, Springer-Verlag, pp. 292-301.
16. Beume, N., Fonseca, C. M., López-Ibáñez, M., Paquete, L., and Vahrenhold, J., 2009, "On the Complexity of Computing the Hypervolume Indicator," IEEE Trans. Evol. Comput., 13(5), pp. 1075-1082.
17. McKay, M. D., Beckman, R. J., and Conover, W. J., 1979, "A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output From a Computer Code," Technometrics, 21(2), pp. 239-245. (Pubitemid 9452235)
18. Sato, K., Kumano, T., Yonezawa, M., Yamashita, H., Jeong, S., and Obayashi, S., 2008, "Low-Boom and Low-Drag Optimization of the Twin Engine Version of Silent Supersonic Business Jet," J. Fluid Sci. Technol., 3(4), pp. 576-585.
19. Shimoyama, K., Yoshimizu, S., Jeong, S., Obayashi, S., and Yokono, Y., 2011, "Multi-Objective Design Optimization for a Steam Turbine Stator Blade Using LES and GA," J. Comput. Sci. Technol., 5(3), pp. 134-147.
20. Van Veldhuizen, D. A., and Lamont, G. B., 1998, "Multiobjective Evolutionary Algorithm Research: A History and Analysis, Air Force Institute of Technology, Dayton, OH, Technical Report No. TR-98-03.
21. Schott, J. R., 1998, "Fault Tolerant Design Using Single and Multicriteria Genetic Algorithm Optimization," Master's thesis, Massachusetts Institute of Technology, Cambridge, MA.
22. Zitzler, E., 1999, "Evolutionary Algorithms for Multiobjective Optimization: Methods and Applications," Ph.D. thesis, Swiss Federal Institute of Technology Zürich, Zürich, Switzerland.
23. Van Veldhuizen, D. A., 1999, "Multiobjective Evolutionary Algorithms: Classifications, Analyses, and New Innovations," Ph.D. thesis, Air Force Institute of Technology, Dayton, OH.
24. While, L., and Bradstreet, L., 2012, "Applying the WFG Algorithm to Calculate Incremental Hypervolumes," Proceedings of the 2012 IEEE Congress on Evolutionary Computation, IEEE Press, pp. 489-496.