Abstract
A new reliability optimization method, an alternative to the bPOE method, is developed. To compare the performance of the proposed method and of the original bPOE method, numerical experiments are conducted using two different data sets. An analysis of the calculation results shows that they are the same for both methods.
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References
T. Rockafellar and J. O. Royset, “On buffered failure probability in design and optimization of structures,” J. Reliability Eng. and System Safety, Vol. 95, No. 5, 499–510 (2010). https://doi.org/10.1016/j.ress.2010.01.001.
R. T. Rockafellar, “Convexity and reliability in engineering optimization,” in: Proc. 9th Intern. Conf. on Nonlinear Analysis and Convex Analysis (Chiangrai, Thailand) (2015), pp. 1–10. URL: https://sites.math.washington.edu/~rtr/papers/rtr239-Reliability.pdf.
A. Mafusalov and S. Uryasev, “Buffered probability of exceedance: Mathematical properties and optimization,” SIAM. J. Optim., Vol. 28, 1077–1103 (2018). https://doi.org/10.1137/15M1042644.
R. T. Rockafellar and S. Uryasev, “Conditional value-at-risk for general loss distributions,” J. Banking & Finance, Vol. 26, No. 7, 1443–1471 (2002). https://doi.org/10.1016/S0378-4266(02)00271-6.
G. M. Zrazhevsky, A. N. Golodnikov, S. P. Uryasev, and A. G. Zrazhevsky, “Application of buffered probability of exceedance in reliability optimization problems,” Cybern. Syst. Analysis, Vol. 56, No. 3, 476–484 (2020). https://doi.org/10.1007/s10559-020-00263-4.
V. A. Pepelyaev, A. N. Golodnikov, and N. A. Golodnikova, “Reliability optimization in plant production,” Cybern. Syst. Analysis, Vol. 58, No. 2, 191–196 (2022). https://doi.org/10.1007/s10559-022-00450-5.
V. A. Pepelyaev and N. O. Holodnikova, “Optimization of the structure of agricultural production for ensuring food security of Ukraine,” Comp. Math., Issue 1, 46–55 (2011). URL: http://nbuv.gov.ua/UJRN/Koma_2011_1_7.
V. A. Pepelyaev and N. A. Golodnikova, “Mathematical methods for crop losses risk evaluation and account for sown areas planning,” Cybern. Syst. Analysis, Vol. 50, No. 1, 60–67 (2014). https://doi.org/10.1007/s10559-014-9592-x.
Portfolio Safeguard. URL: http://www.aorda.com/index.php/portfolio-safeguard/.
“Test problems for nonlinear, stochastic, mixed-integer optimization,” URL: http://uryasev.ams.stonybrook.edu/index.php/research/testproblems.
“Case study: Style classification with quantile regression,” URL: http://uryasev.ams.stonybrook.edu/wp-content/uploads/2014/02/data_problem_kb_err_style_classification_fidelity_magellan_0p1_short.zip.
“Case study: Omega portfolio rebalancing,” URL: http://uryasev.ams.stonybrook.edu/wp-content/uploads/2018/05/data_problem_omega_short.zip.
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Translated from Kibernetyka ta Systemnyi Analiz, No. 4, July–August, 2022, pp. 112–116.
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Pepelyaev, V.A., Golodnikov, A.N. & Golodnikova, N.A. Reliability Optimization Method Alternative to bPOE. Cybern Syst Anal 58, 593–597 (2022). https://doi.org/10.1007/s10559-022-00492-9
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DOI: https://doi.org/10.1007/s10559-022-00492-9