NOTE ON THE EFFECTIVENESS OF STOCHASTIC OPTIMIZATION ALGORITHMS FOR ROBUST DESIGN

作者: Rhonda D. Phillips , Manjula A. Iyer , Layne T. Watson , Michael W. Trosset

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摘要: Robust design optimization (RDO) uses statistical decision theory and techniques to optimize a over range of uncertainty (introduced by the manufacturing process unintended uses). Since engineering ob jective functions tend be costly evaluate prohibitively expensive integrate (required within RDO), surrogates are introduced allow use traditional methods find solutions. This paper explores suitability radically different (deterministic stochastic) solve prototypical robust problems. The algorithms include genetic algorithm using penalty function formulation, simultaneous perturbation stochastic approximation (SPSA) method, two gradient-based constrained nonlinear optimizers (method feasible directions sequential quadratic programming). results show that fully deterministic standard consistently more accurate, likely terminate at points, considerably less than nondeterministic algorithms.

参考文章(13)
Peter Salamon, Paolo Sibani, Richard Frost, Facts, Conjectures, and Improvements for Simulated Annealing ,(1987)
Ranjit K. Roy, A Primer on the Taguchi Method ,(1990)
Susan L. Burgee, Layne T. Watson, The Promise (and Reality) of Multidisciplinary Design Optimization Large-Scale Optimization with Applications. ,vol. 93, pp. 301- 324 ,(1997) , 10.1007/978-1-4612-1960-6_13
Thomas J Santner, Brian J Williams, William I Notz, Brain J Williams, None, The Design and Analysis of Computer Experiments ,(2003)
M. T. McMahon, L. T. Watson, G. A. Soremekun, Z. G�rdal, R. T. Haftka, A Fortran 90 Genetic Algorithm Module for Composite Laminate Structure Design Engineering With Computers. ,vol. 14, pp. 260- 273 ,(1998) , 10.1007/BF01215979
William J Welch, Jerome Sacks, A system for quality improvement via computer experiments Communications in Statistics-theory and Methods. ,vol. 20, pp. 477- 495 ,(1991) , 10.1080/03610929108830510
J.C. Spall, Multivariate stochastic approximation using a simultaneous perturbation gradient approximation IEEE Transactions on Automatic Control. ,vol. 37, pp. 332- 341 ,(1992) , 10.1109/9.119632
S. C. Kugele, M. W. Trosset, L. T. Watson, Numerical integration in statistical decision-theoretic methods for robust design optimization Structural and Multidisciplinary Optimization. ,vol. 36, pp. 457- 475 ,(2008) , 10.1007/S00158-007-0189-0