An efficient framework for optimal robust stochastic system design using stochastic simulation

Computer Methods in Applied Mechanics and Engineering

Volumn 198, Issue 1, 2008, Pages 88-101

  Taflanidis, Alexandros A ^a   Beck, James L ^a  

^a California Institute of Technology   (United States)

Author keywords

Common random numbers; Optimal robust stochastic design; Reliability based design; Stochastic optimization; Stochastic simulation; Stochastic subset optimization

Indexed keywords

DESIGN; KNOWLEDGE ENGINEERING; LARGE SCALE SYSTEMS; LIFE CYCLE; MODEL STRUCTURES; OPTIMAL SYSTEMS; PROBABILITY; QUALITY ASSURANCE; RELIABILITY; SANITARY SEWERS; SEMICONDUCTOR DEVICE MODELS; STOCHASTIC CONTROL SYSTEMS; STOCHASTIC MODELS; STOCHASTIC PROGRAMMING; STRUCTURAL OPTIMIZATION;

COMMON RANDOM NUMBERS; OPTIMAL ROBUST STOCHASTIC DESIGN; STOCHASTIC OPTIMIZATION; STOCHASTIC SIMULATION; STOCHASTIC SUBSET OPTIMIZATION;

OPTIMIZATION;

EID: 49749133705     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2008.03.029     Document Type: Article

References (30)

1. Jaynes E.T. Probability Theory: The Logic of Science (2003), Cambridge University Press, Cambridge, UK
2. Enevoldsen I., and Sorensen J.D. Reliability-based optimization in structural engineering. Struct. Safety 15 (1994) 169-196
3. Gasser M., and Schueller G.I. Reliability-based optimization of structural systems. Math. Methods Operat. Res. 46 (1997) 287-307
4. Spall J.C. Introduction to Stochastic Search and Optimization (2003), Wiley Interscience, New York
5. Ruszczynski A., and Shapiro A. Stochastic Programming (2003), Elsevier, New York
6. Jensen H.A. Structural optimization of linear dynamical systems under stochastic excitation: a moving reliability database approach. Comput. Methods Appl. Mech. Engrg. 194 (2005) 1757-1778
7. Taflanidis A.A., and Beck J.L. Stochastic subset optimization for optimal reliability problems. Probabilistic Engrg. Mech. 23 (2008) 324-338
8. A.A. Taflanidis, J.L. Beck, Stochastic subset optimization for stochastic design, in: Proceedings of the ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Rethymno, Greece, 2007.
9. A.A. Taflanidis, J.L. Beck, Reliability-based optimal design by efficient stochastic simulation, in: Proceedings of the Fifth International Conference on Computational Stochastic Mechanics, Rhodes, Greece, 2006.
10. Au S.K. Reliability-based design sensitivity by efficient simulation. Comput. Struct. 83 (2005) 1048-1061
11. Robert C.P., and Casella G. Monte Carlo Statistical Methods (2004), Springer, New York, NY
12. Pardalos P.M., and Resende M.G.C. Handbook of Applied Optimization (2002), Oxford University Press
13. A.A. Taflanidis, Stochastic system design and applications to stochastically robust structural control, EERL report 2007-5, California Institute of Technology, Pasadena, 2007.
14. Glasserman P., and Yao D.D. Some guidelines and guarantees for common random numbers. Manage. Sci. 38 (1992) 884-908
15. Kushner H.J., and Yin G.G. Stochastic Approximation and recursive Algorithms and Applications (2003), Springer-Verlag, New York
16. Royset J.O., and Polak E. Reliability-based optimal design using sample average approximations. Probabilistic Engrg. Mech. 19 (2004) 331-343
17. Kleinmann N.L., Spall J.C., and Naiman D.C. Simulation-based optimization with stochastic approximation using common random numbers. Manage. Sci. 45 (1999) 1570-1578
18. Beck J.L., Chan E., Irfanoglu A., and Papadimitriou C. Multi-criteria optimal structural design under uncertainty. Earthquake Engrg. Struct. Dyn. 28 (1999) 741-761
19. Lagaros N.D., Papadrakakis M., and Kokossalakis G. Structural optimization using evolutionary algorithms. Comput. Struct. 80 (2002) 571-589
20. Au S.K., and Beck J.L. A new adaptive importance sampling scheme. Struct. Safety 21 (1999) 135-158
21. Au S.K., and Beck J.L. Importance sampling in high dimensions. Struct. Safety 25 (2003) 139-163
22. Pradlwater H.J., Schueller G.I., Koutsourelakis P.S., and Champris D.C. Application of line sampling simulation method to reliability benchmark problems. Struct. Safety 29 (2007) 208-221
23. Au S.K., and Beck J.L. Subset simulation and its applications to seismic risk based on dynamic analysis, ASCE. J. Engrg. Mech. 129 (2003) 901-917
24. Beck J.L., and Katafygiotis L.S. Updating models and their uncertainties. I: Bayesian statistical framework. J. Engrg. Mech. 124 (1998) 455-461
25. Kramer S.L. Geotechnical Earthquake Engineering (2003), Prentice-Hall
26. A.A. Taflanidis, J.T Scruggs, J.L. Beck, Smart base isolation design including model uncertainty in ground motion characterization, in: Proceedings of the Fourth International Conference on Earthquake Geotechnical Engineering, Thessaloniki, Greece, 2007.
27. Boore D.M. Simulation of ground motion using the stochastic method. Pure Appl. Geophys. 160 (2003) 635-676
28. Mavroeidis G.P., and Papageorgiou A.P. A mathematical representation of near-fault ground motions. Bull. Seismol. Soc. Am. 93 (2003) 1099-1131
29. Bray J.D., and Rodriguez-Marek A. Characterization of forward-directivity ground motions in the near-fault region. Soil Dyn. Earthquake Engrg. 24 (2004) 815-828
30. K. Holmstrom, A.O. Goran, M.M. Edvall, User's guide for TOMLAB 5.8, Tomlab Optimization Inc., Available from: www.TOMLAB.biz, San Diego, CA, 2007.