Optimal design with probabilistic objective and constraints

Journal of Engineering Mechanics

Volumn 132, Issue 1, 2006, Pages 107-118

  Royset, Johannes O ^a   Der Kiureghian, Armen ^b   Polak, Elijah ^c  

^a NAVAL POSTGRADUATE SCHOOL   (United States)

^b Berkeley   (United States)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Algorithms; Constraints; Optimization models; Probability; Structural design

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTER SIMULATION; CONCRETE BEAMS AND GIRDERS; CONCRETE BRIDGES; FAILURE ANALYSIS; MONTE CARLO METHODS; OPTIMIZATION; PARAMETER ESTIMATION; PROBABILITY; REINFORCED CONCRETE; RELIABILITY THEORY;

OPTIMIZATION MODELS; REINFORCED CONCRETE BRIDGE GIRDER;

STRUCTURAL DESIGN;

ALGORITHMS; APPROXIMATION THEORY; COMPUTER SIMULATION; CONCRETE BEAMS AND GIRDERS; CONCRETE BRIDGES; FAILURE ANALYSIS; MONTE CARLO METHODS; OPTIMIZATION; PARAMETER ESTIMATION; PROBABILITY; REINFORCED CONCRETE; RELIABILITY THEORY; STRUCTURAL DESIGN;

DESIGN;

EID: 31144436223     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(2006)132:1(107)     Document Type: Article

References (31)

1. Agarwal, H., Renaud, J. E., and Mack, J. D. (2003). "A decomposition approach for reliability-based multidisciplinary design optimization." Proc., 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials (SDM) Conf., Norfolk, Va.
2. American Association of State Highway and Transportation Officials (AASHTO). (1992). Standard specifications for highway bridges, 15th Ed., Washington, D.C.
3. Beck, J. L., Chan, E., Irfanoglu, A., and Papadimitriou, C. (1999). "Multi-criteria optimal structural design under uncertainty." Earthquake Eng. Struct. Dyn.IJEEBG0098-8847, 28(7), 741-761.
4. Conn, A. R., Gould, N. I. M., and Toint, P. (1992). LANCELOT: A Fortran package for large-scale nonlinear optimization (Release A), Springer Series in Computational Mathematics, Vol. 17, Springer Heidelberg, Germany.
5. Ditlevsen, O., and Madsen, H. O. (1996). Structural reliability methods. Wiley, New York.
6. Eldred, M. S., Giunta, A. A., Wojtkiewicz, S. F., and Trucano, T. G. (2002). "Formulations for surrogate-based optimization under uncertainty." Proc., 9th AIAA/ISSMO Symp. on Multidisciplinary Analysis and Optimization, Paper AIAA-2002-5585, Atlanta.
7. Enevoldsen, I., and Sorensen, J. D. (1994). "Reliability-based optimization in structural engineering." Struct. SafetyZZZZZZ0167-4730, 15(3), 169-196.
8. Frangopol, D. M., Lin, K. Y., and Estes, A. C. (1997). "Life-cycle cost design of deteriorating structures." J. Struct. Eng.JSENDH0733-944510.1061/(ASCE)0733-9445(1997)123:10(1390), 123(10), 1390-1401.
9. Gasser, M., and Schueller, G. I. (1998). "Some basic principles in reliability-based optimization (RBO) of structures and mechanical components." Stochastic programming methods and technical applications, K. Marti and P. Kall, Eds., Lecture Notes in Economics and Mathematical Systems 458, Springer, Berlin.
10. Gill, P., Murray, W., Saunders, M., and Wright, M. H. (1998). "User's guide to NPSOL 5.0: A Fortran package for nonlinear programming." Rep. No. SOL-86-1, System Optimization Laboratory, Stanford University, Stanford, Calif.
11. Gonzaga, C., and Polak, E. (1979). "On constraint dropping schemes and optimality functions for a class of outer approximations algorithms." SIAM J. Control Optim.SJCODC0363-0129, 17(4), 477-493.
12. Igusa, T., and Wan, Z. (2003). "Response surface methods for optimization under uncertainty." Proc., 9th Int. Conf. on Application of Statistics and Probability, A. Der Kiureghian, S. Madanat, and J. Pestana, eds., San Francisco.
13. Itoh, Y., and Liu, C. (1999). "Multiobjective optimization of bridge deck maintenance." Proc., Case Studies in Optimal Design and Maintenance Planning if Civil Infrastructure Systems, D. M. Frangopol, ed., ASCE, Reston, Va. 136-151.
14. Kirjner-Neto, C., Polak, E., and Der Kiureghian, A. (1998). "An outer approximations approach to reliability-based optimal design of structures." J. Optim. Theory Appl.JOTABN0022-323910.1023/ A:1022647728419, 98(1), 1-17.
15. Kuschel, N., and Rackwitz, R. (2000). "Optimal design under time-variant reliability constraints." Struct. SafetyZZZZZZ0167-4730, 22(2), 113-127.
16. Lin, K. Y., and Frangopol, D. M. (1996). "Reliability-based optimum design of reinforced concrete girders." Struct. SafetyZZZZZZ0167-4730, 18(2-3), 239-258.
17. Liu, Y. W., and Moses, F. (1992). "Truss optimization including reserve and residual reliability constraints." Comput. Struct.CMSTCJ0045-7949, 42(3), 355-363.
18. Madsen, H. O., and Friis Hansen, P. (1992). "A comparison of some algorithms for reliability-based structural optimization and sensitivity analysis." Reliability and Optimization of Structural Systems, Proc., IFIP WG 7.5, R. Rackwitz and P. Thoft-Christensen, eds., Springer, Berlin.
19. Mahadevan, S. (1992). "Probabilistic optimum design of framed structures." Comput. Struct.CMSTCJ0045-7949, 42(3), 365-374.
20. Nakamura, H., Miyamoto, A., and Kawamura, K. (2000). "Optimization of bridge maintenance strategies using GA and IA techniques." Reliability and Optimization of Structural Systems, Proc., IFIP WG 7.5, A. S. Nowak and M. M. Szerszen, eds., Ann Arbor, Mich.
21. Polak, E. (1997). Optimization. Algorithms and consistent approximations, Springer, New York.
22. Polak, E., Wets, R. J.-B., and Der Kiureghian, A. (2000). "On the approach to optimization of problems with probabilistic cost and constraints." Nonlinear optimization and related topics, G. Di Pillo and F. Gianessi, eds., Kluwer Academic, 299-316.
23. Royset, J. O., Der Kiureghian, A., and Polak, E. (2004). "Algorithms for reliability-based optimal design." AMAS course on reliability-based design and optimization, September 2003, Warsaw, Poland, 177-206.
24. Royset, J. O., Der Kiureghian, A., and Polak, E. (2002). "Reliability-based design optimization of series structural systems." Rep. No. UCB/SEMM-2002/15, Department of Civil and Environmental Engineering, University of California, Berkeley, Berkeley, Calif.
25. Royset, J. O., Der Kiureghian, A., and Polak, E. (2001a). "Reliability-based optimal design of series structural systems." J. Eng. Mech.JENMDT0733-939910.1061/ (ASCE)0733-9399(2001)127:6(607), 127(6), 607-614.
26. Royset, J. O., Der Kiureghian, A., and Polak, E. (2001b). "Reliability-based optimal structural design by the decoupling approach." Reliab. Eng. Syst. Saf.RESSEP0951-832010.1016/ S0951-8320(01)00048-5, 73(3), 213-221.
27. Schittkowski, K. (1985). User's guide to nonlinear programming code, handbook to optimization program package NLPQL, University of Stuttgart, Stuttgart, Germany.
28. Thoft-Christensen, P. (1991). "On reliability-based structural optimization." Reliability and Optimization of Structural Systems, Proc., IFIP WG 7.5, A. Der Kiureghian and P. Thoft-Christensen, eds., Lecture Notes in Engineering, Vol. 61, Springer, New York.
29. Torczon, V., and Trosset, M. W. (1998). "Using approximations to accelerate engineering design optimization." Proc., 7th AIAA/USAF/ NASA/ISSMO Symp. on Multidisciplinary Analysis and Optimization, AIAA Paper 98-4800, St. Louis.
30. Tu, J., and Choi, K. K. (1997). "A performance measure approach in reliability based structural optimization." Technical Rep. 97-02, Center for Computer-Aided Design, University of Iowa, Iowa City, Iowa.
31. Tu, J., Choi, K. K., and Park, Y. H. (1999). "A new study on reliability-based design optimization." ASME J. Mech. Des.JMDEDB1050-0472, 121(4), 557-564.