Abstract

Disaster resilience is an emerging concept for managing the risk of civil structural systems considering not only structural safety against extreme loads but also aftermath recovery efforts. The system reliability–based resilience analysis framework facilitates the quantitative evaluation of the disaster resilience performance of structural systems by assessing reliability and redundancy for numerous disruption scenarios. However, its practical application is limited due to the substantial number of structural analyses required to estimate the reliability and redundancy indices. To address the computational challenges, this paper proposes a new importance sampling algorithm, termed Importance Sampling for Noteworthy Scenarios (ISNS). The ISNS algorithm leverages a Gaussian process–based principal point search method to identify initial disruption scenarios that dominantly impact the structure’s resilience. Subsequently, a mixture-based distribution is constructed to represent the near-optimal importance sampling density characterizing the failure domains of the noteworthy disruption scenarios. The two-step procedure enables the simultaneous estimation of both reliability and redundancy indices of the identified noteworthy scenarios. Furthermore, an active learning scheme is incorporated to efficiently train surrogates. Numerical examples of engineering applications are investigated to demonstrate the improved efficiency offered by the proposed method. However, the proposed method faces limitations in multihazard contexts and high-dimensional, highly nonlinear scenarios. These limitations necessitate further validation of the Gaussian process and mixture models to ensure robustness.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

The first author was supported by the Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education (RS-2024-00407901). The third and fourth authors were supported by the Ajou University research fund. The fourth author was also supported by a National Research Foundation of Korea grant funded by the Korea government (MSIT) (RS-2023-00242859). All of this support is gratefully acknowledged.

References

Almoghathawi, Y., K. Barker, and L. A. Albert. 2019. “Resilience-driven restoration model for interdependent infrastructure networks.” Reliab. Eng. Syst. Saf. 185 (Apr): 12–23. https://doi.org/10.1016/j.ress.2018.12.006.
ASME. 2009. Innovative technological institute (ITI). New York: ASME.
Au, S. K., and J. L. Beck. 2001. “Estimation of small failure probabilities in high dimensions by subset simulation.” Probab. Eng. Mech. 16 (4): 263–277. https://doi.org/10.1016/S0266-8920(01)00019-4.
Bruneau, M., S. E. Chang, R. T. Eguchi, G. C. Lee, T. D. O’Rourke, A. M. Reinhorn, M. Shinozuka, K. Tierney, W. A. Wallace, and D. Von Winterfeldt. 2003. “A framework to quantitatively assess and enhance the seismic resilience of communities.” Earthquake Spectra 19 (4): 733–752. https://doi.org/10.1193/1.1623497.
Bugallo, M. F., V. Elvira, L. Martino, D. Luengo, J. Miguez, and P. M. Djuric. 2017. “Adaptive importance sampling: The past, the present, and the future.” IEEE Signal Process Mag. 34 (4): 60–79. https://doi.org/10.1109/MSP.2017.2699226.
Burton, H., H. Kang, S. Miles, A. Nejat, and Z. Yi. 2019. “A framework and case study for integrating household decision-making into post-earthquake recovery models.” Int. J. Disaster Risk Reduct. 37 (Mar): 101167. https://doi.org/10.1016/j.ijdrr.2019.101167.
Ching, J., and Y. C. Chen. 2007. “Transitional Markov chain Monte Carlo method for Bayesian model updating, model class selection, and model averaging.” J. Eng. Mech. 133 (7): 816–832. https://doi.org/10.1061/(ASCE)0733-9399(2007)133:7(816).
Chopra, A. K., and R. K. Goel. 2002. “A modal pushover analysis procedure for estimating seismic demands for buildings.” Earthquake Eng. Struct. Dyn. 31 (3): 561–582. https://doi.org/10.1002/eqe.144.
Daniels, H. E. 1945. “The statistical theory of the strength of bundles of threads. I.” Proc. R. Soc. London Ser. A Math. Phys. Sci. 183 (995): 405–435. https://doi.org/10.1098/rspa.1945.0011.
Der Kiureghian, A. 2022. Structural and system reliability. New York: Cambridge University Press.
Der Kiureghian, A., and P. L. Liu. 1986. “Structural reliability under incomplete probability information.” J. Eng. Mech. 112 (1): 85–104. https://doi.org/10.1061/(ASCE)0733-9399(1986)112:1(85).
Dubourg, V., B. Sudret, and F. Deheeger. 2013. “Metamodel-based importance sampling for structural reliability analysis.” Probab. Eng. Mech. 33 (Jan): 47–57. https://doi.org/10.1016/j.probengmech.2013.02.002.
Echard, B., N. Gayton, and M. Lemaire. 2011. “AK-MCS: An active learning reliability method combining Kriging and Monte Carlo simulation.” Struct. Saf. 33 (2): 145–154. https://doi.org/10.1016/j.strusafe.2011.01.002.
Fauriat, W., and N. Gayton. 2014. “AK-SYS: An adaptation of the AK-MCS method for system reliability.” Reliab. Eng. Syst. Saf. 123 (Aug): 137–144. https://doi.org/10.1016/j.ress.2013.10.010.
Felipe, T. R. C., V. G. Haach, and A. T. Beck. 2018. “Systematic reliability-based approach to progressive collapse.” ASCE-ASME J. Risk Uncertainty Eng. Syst. Part A: Civ. Eng. 4 (4): 04018039. https://doi.org/10.1061/AJRUA6.0000990.
Gharaibeh, E. S., D. M. Frangopol, and T. Onoufriou. 2002. “Reliability-based importance assessment of structural members with applications to complex structures.” Comput. Struct. 80 (12): 1113–1131. https://doi.org/10.1016/S0045-7949(02)00070-6.
Guilleminot, J., and C. Soize. 2020. “Non-Gaussian random fields in multiscale mechanics of heterogeneous materials.” In Encyclopedia of continuum mechanics, 1826–1834. Berlin: Springer. https://doi.org/10.1007/978-3-662-55771-6_68.
Hohenbichler, M., and R. Rackwitz. 1981. “Non-normal dependent vectors in structural safety.” J. Eng. Mech. Div. 107 (6): 1227–1238. https://doi.org/10.1061/JMCEA3.0002777.
Hohenbichler, M., and R. Rackwitz. 1988. “Improvement of second-order reliability estimates by importance sampling.” J. Eng. Mech. 114 (12): 2195–2199. https://doi.org/10.1061/(ASCE)0733-9399(1988)114:12(2195).
Hosseini, S., K. Barker, and J. E. Ramirez-Marquez. 2016. “A review of definitions and measures of system resilience.” Reliab. Eng. Syst. Saf. 145 (May): 47–61. https://doi.org/10.1016/j.ress.2015.08.006.
Jung, W., A. A. Taflanidis, A. P. Kyprioti, E. Adeli, J. J. Westerink, and H. Tolman. 2023. “Efficient probabilistic storm surge estimation through adaptive importance sampling across storm advisories.” Coastal Eng. 183 (Apr): 104287. https://doi.org/10.1016/j.coastaleng.2023.104287.
Kanjilal, O., I. Papaioannou, and D. Straub. 2023. “Bayesian updating of reliability by cross entropy-based importance sampling.” Struct. Saf. 102 (Feb): 102325. https://doi.org/10.1016/j.strusafe.2023.102325.
Kim, D. S., S. Y. Ok, J. Song, and H. M. Koh. 2013. “System reliability analysis using dominant failure modes identified by selective searching technique.” Reliab. Eng. Syst. Saf. 119 (Jun): 316–331. https://doi.org/10.1016/j.ress.2013.02.007.
Kim, J., and J. Song. 2020. “Probability-adaptive Kriging in n-ball (PAK-Bn) for reliability analysis.” Struct. Saf. 85 (Jan): 101924. https://doi.org/10.1016/j.strusafe.2020.101924.
Kim, J., and J. Song. 2021. “Quantile surrogates and sensitivity by adaptive Gaussian process for efficient reliability-based design optimization.” Mech. Syst. Signal Process. 161 (Dec): 107962. https://doi.org/10.1016/j.ymssp.2021.107962.
Kim, J., Z. Wang, and J. Song. 2024a. “Adaptive active subspace-based metamodeling for high-dimensional reliability analysis.” Struct. Saf. 106 (Mar): 102404. https://doi.org/10.1016/j.strusafe.2023.102404.
Kim, J., S. R. Yi, and J. Song. 2024b. “Active learning-based optimization of structures under stochastic excitations with first-passage probability constraints.” Eng. Struct. 307 (Apr): 117873. https://doi.org/10.1016/j.engstruct.2024.117873.
Kim, T., O. S. Kwon, and J. Song. 2021. “Clustering-based adaptive ground motion selection algorithm for efficient estimation of structural fragilities.” Earthquake Eng. Struct. Dyn. 50 (6): 1755–1776. https://doi.org/10.1002/eqe.3418.
Kim, T., O. S. Kwon, and J. Song. 2024c. “Deep learning-based response spectrum analysis method for building structures.” Earthquake Eng. Struct. Dyn. 53 (4): 1638–1655. https://doi.org/10.1002/eqe.4086.
Kim, T., and S. Yi. 2024. “Accelerated system-reliability-based disaster resilience analysis for structural systems.” Struct. Saf. 109 (Jul): 102479. https://doi.org/10.1016/j.strusafe.2024.102479.
Kurtz, N., and J. Song. 2013. “Cross-entropy-based adaptive importance sampling using Gaussian mixture.” Struct. Saf. 42 (Jan): 35–44. https://doi.org/10.1016/j.strusafe.2013.01.006.
Lim, S., J. Kim, and J. Song. 2023. “Development of reliability-redundancy-recoverability-based decision optimization (R3-DO) for disaster resilience of structural systems.” In Proc., 14th Int. Conf. on Applications of Statistics and Probability in Civil Engineering (ICASP14). Dublin, Ireland: Trinity’s Access to Research Archive.
Lim, S., T. Kim, and J. Song. 2022. “System-reliability-based disaster resilience analysis: Framework and applications to structural systems.” Struct. Saf. 96 (Apr): 102202. https://doi.org/10.1016/j.strusafe.2022.102202.
Marelli, S., and B. Sudret. 2018. “An active-learning algorithm that combines sparse polynomial chaos expansions and bootstrap for structural reliability analysis.” Struct. Saf. 75 (Apr): 67–74. https://doi.org/10.1016/j.strusafe.2018.06.003.
McKenna, F. 2011. “OpenSees: A framework for earthquake engineering simulation.” Comput. Sci. Eng. 13 (4): 58–66. https://doi.org/10.1109/MCSE.2011.66.
Ohtori, Y., R. E. Christenson, B. F. Spencer Jr., and S. J. Dyke. 2004. “Benchmark control problems for seismically excited nonlinear buildings.” J. Eng. Mech. 130 (4): 366–385. https://doi.org/10.1061/(ASCE)0733-9399(2004)130:4(366).
Pandey, P. C., and S. V. Barai. 1997. “Structural sensitivity as a measure of redundancy.” J. Struct. Eng. 123 (3): 360–364. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:3(360).
Rasmussen, C. E., and C. K. I. Williams. 2006. Gaussian processes for machine learning. Cambridge, MA: MIT Press.
Roy, A., and S. Chakraborty. 2023. “Support vector machine in structural reliability analysis: A review.” Reliab. Eng. Syst. Saf. 233 (Apr): 109126. https://doi.org/10.1016/j.ress.2023.109126.
Rubinstein, R. Y. 1981. Simulation and the Monte Carlo method. New York: Wiley.
Rubinstein, R. Y., and D. P. Kroese. 2004. The cross-entropy method: A unified approach to combinatorial optimization, Monte-Carlo simulation, and machine learning. New York: Springer.
Sharma, N., A. Tabandeh, and P. Gardoni. 2018. “Resilience analysis: A mathematical formulation to model resilience of engineering systems.” Sustainable Resilient Infrastruct. 3 (2): 49–67. https://doi.org/10.1080/23789689.2017.1345257.
Song, J. 2023. “Disaster resilience management of civil infrastructure systems based on reliability, redundancy, and recoverability.” In Proc., 14th Int. Conf. on Applications of Statistics and Probability in Civil Engineering (ICASP14). Dublin, Ireland: Trinity’s Access to Research Archive.
Straub, D., and I. Papaioannou. 2015. “Bayesian updating with structural reliability methods.” J. Eng. Mech. 141 (3): 04014134. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000839.
Tabandeh, A., G. Jia, and P. Gardoni. 2022. “A review and assessment of importance sampling methods for reliability analysis.” Struct. Saf. 97 (Mar): 102216. https://doi.org/10.1016/j.strusafe.2022.102216.
Wang, W. L., and J. W. van de Lindt. 2021. “Quantitative modeling of residential building disaster recovery and effects of pre-and post-event policies.” Int. J. Disaster Risk Reduct. 59 (Dec): 102259. https://doi.org/10.1016/j.ijdrr.2021.102259.
Wang, Z., M. Broccardo, and J. Song. 2019. “Hamiltonian Monte Carlo methods for subset simulation in reliability analysis.” Struct. Saf. 76 (Jan): 51–67. https://doi.org/10.1016/j.strusafe.2018.05.005.
Wang, Z., and J. Song. 2016. “Cross-entropy-based adaptive importance sampling using von Mises-Fisher mixture for high dimensional reliability analysis.” Struct. Saf. 59 (Jun): 42–52. https://doi.org/10.1016/j.strusafe.2015.11.002.
Yi, S. R., and T. Kim. 2023. “System-reliability-based disaster resilience analysis for structures considering aleatory uncertainties in external loads.” Earthquake Eng. Struct. Dyn. 52 (15): 4939–4963. https://doi.org/10.1002/eqe.3991.
Zhou, H., J. A. Wang, J. Wan, and H. Jia. 2010. “Resilience to natural hazards: A geographic perspective.” Nat. Hazards 53 (1): 21–41. https://doi.org/10.1007/s11069-009-9407-y.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 150Issue 11November 2024

History

Received: Jan 16, 2024
Accepted: Jun 11, 2024
Published online: Aug 27, 2024
Published in print: Nov 1, 2024
Discussion open until: Jan 27, 2025

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

Postdoctoral Researcher, Dept. of Civil and Environmental Engineering, Univ. of California, Berkeley, CA 94720. ORCID: https://orcid.org/0000-0002-2957-4548. Email: [email protected]
Sang-ri Yi, Ph.D. [email protected]
Postdoctoral Researcher, Dept. of Civil and Environmental Engineering, Univ. of California, Berkeley, CA 94720. Email: [email protected]
Professor, Dept. of Civil Systems Engineering, Ajou Univ., Gyeonggi-do, Suwon 16499, Republic of Korea. ORCID: https://orcid.org/0000-0002-3860-9693. Email: [email protected]
Assistant Professor, Dept. of Civil Systems Engineering, Ajou Univ., Gyeonggi-do, Suwon 16499, Republic of Korea (corresponding author). ORCID: https://orcid.org/0000-0001-8464-8231. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share