Abstract
During engineering design, it is often difficult to quantify product reliability because of insufficient data or information for modeling the uncertainties. In such cases, one needs a reliability estimate when the functional form of the uncertainty in the design variables or parameters cannot be found. In this work, a probabilistic method to estimate the reliability in such cases is implemented using Non-Dominated Sorting Genetic Algorithm-II. The method is then coupled with an existing RBDO method to solve a problem with both epistemic and aleatory uncertainties.
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References
Gunawan, S., Papalambros, P.Y.: A Bayesian Approach to Reliability-Based Optimization With Incomplete Information. ASME J. Mech. Des. 128(4), 909–919 (2006)
Du, L., Choi, K.K., Youn, B.D., Gorsich, D.: Possibility-Based Design Optimization Method for Design Problems With Both Statistical and Fuzzy Input Data. ASME J. Mech. Des. 128(4), 925–935 (2006)
Mourelatos, Z.P., Zhou, J.: A Design Optimization Method Using Evidence Theory. ASME J. Mech. Des. 128(4), 901–908 (2006)
Leonard, T., Hsu, S.J.: Bayesian methods. Cambridge Series in Statistical and Probabilistic Mathematics. Cambridge University Press, Cambridge (1999)
Deb, K., Agrawal, S., Pratap, A., Meyarivan, T.: A fast and elitist multi-objective genetic algorithm: NSGA-II. IEEE Transactions on Evolutionary Computation 6(2), 182–197 (2002)
Deb, K., Gupta, S., Daum, D., Branke, J., Mall, A.K., Padmanabhan, D.: Reliability-Based Optimization Using Evolutionary Algorithms. IEEE Transactions on Evolutionary Computation 13(5), 1054–1074 (2009)
Du, X., Chen, W.: A Most Probable Point Based Method for Uncertainty Analysis. Journal of Design and Manufacturing Automation 4, 47–66 (2001)
Gu, L., Yang, R.J., Tho, C.H., Makowski, L., Faruque, O., Li, Y.: Optimization and Robustness for Crashworthiness of Side Impact. International Journal of Vehicle Design 26(4) (2001)
Branke, J., Deb, K., Dierolf, H., Osswald, M.: Finding Knees in Multi-objective Optimization. In: Yao, X., Burke, E.K., Lozano, J.A., Smith, J., Merelo-Guervós, J.J., Bullinaria, J.A., Rowe, J.E., Tiňo, P., Kabán, A., Schwefel, H.-P. (eds.) PPSN 2004. LNCS, vol. 3242, pp. 722–731. Springer, Heidelberg (2004)
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Srivastava, R.K., Deb, K. (2010). Bayesian Reliability Analysis under Incomplete Information Using Evolutionary Algorithms. In: Deb, K., et al. Simulated Evolution and Learning. SEAL 2010. Lecture Notes in Computer Science, vol 6457. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17298-4_47
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DOI: https://doi.org/10.1007/978-3-642-17298-4_47
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-17297-7
Online ISBN: 978-3-642-17298-4
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