Information Reuse for Importance Sampling in Reliability-Based Design Optimization

作者: Anirban Chaudhuri , Boris Kramer , Karen E. Willcox

DOI: 10.1016/J.RESS.2020.106853

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摘要: Abstract This paper introduces a new approach for importance-sampling-based reliability-based design optimization (RBDO) that reuses information from past iterations to reduce computational effort. RBDO is two-loop process—an uncertainty quantification loop embedded within an loop—that can be computationally prohibitive due the numerous evaluations of expensive high-fidelity models estimate probability failure in each iteration. In this work, we use existing create efficient biasing densities importance sampling estimates failure. The method involves two levels reuse: (1) reusing current batch samples construct posteriori density with optimal parameters, and (2) designs visited design. We demonstrate benchmark speed reducer problem combustion engine proposed leads savings range 51% 76%, compared building no reuse

参考文章(62)
Iason Papaioannou, Wolfgang Betz, Kilian Zwirglmaier, Daniel Straub, MCMC algorithms for Subset Simulation Probabilistic Engineering Mechanics. ,vol. 41, pp. 89- 103 ,(2015) , 10.1016/J.PROBENGMECH.2015.06.006
JEAN-MARIE CORNUET, JEAN-MICHEL MARIN, ANTONIETTA MIRA, CHRISTIAN P. ROBERT, Adaptive Multiple Importance Sampling Scandinavian Journal of Statistics. ,vol. 39, pp. 798- 812 ,(2012) , 10.1111/J.1467-9469.2011.00756.X
Leo W. T. Ng, Karen E. Willcox, Multifidelity approaches for optimization under uncertainty International Journal for Numerical Methods in Engineering. ,vol. 100, pp. 746- 772 ,(2014) , 10.1002/NME.4761
S. Kullback, R. A. Leibler, On Information and Sufficiency Annals of Mathematical Statistics. ,vol. 22, pp. 79- 86 ,(1951) , 10.1214/AOMS/1177729694
Rüdiger Rackwitz, Reliability analysis—a review and some perspectives Structural Safety. ,vol. 23, pp. 365- 395 ,(2001) , 10.1016/S0167-4730(02)00009-7
Akhil Sopory, Sankaran Mahadevan, Zissimos P. Mourelatos, Jian Tu, Decoupled and Single Loop Methods for Reliability-Based Optimization and Robust Design design automation conference. pp. 719- 727 ,(2004) , 10.1115/DETC2004-57404
Leo W. T. Ng, Karen E. Willcox, Monte Carlo Information-Reuse Approach to Aircraft Conceptual Design Optimization Under Uncertainty Journal of Aircraft. ,vol. 53, pp. 427- 438 ,(2016) , 10.2514/1.C033352
X. Qu, R.T. Haftka, Reliability-based design optimization using probabilistic sufficiency factor Structural and Multidisciplinary Optimization. ,vol. 27, pp. 314- 325 ,(2004) , 10.1007/S00158-004-0390-3