{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,11]],"date-time":"2026-05-11T13:46:43Z","timestamp":1778507203393,"version":"3.51.4"},"reference-count":64,"publisher":"Springer Science and Business Media LLC","issue":"S4","license":[{"start":{"date-parts":[[2021,6,7]],"date-time":"2021-06-07T00:00:00Z","timestamp":1623024000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,6,7]],"date-time":"2021-06-07T00:00:00Z","timestamp":1623024000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["21905257"],"award-info":[{"award-number":["21905257"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Engineering with Computers"],"published-print":{"date-parts":[[2022,10]]},"DOI":"10.1007\/s00366-021-01432-5","type":"journal-article","created":{"date-parts":[[2021,6,7]],"date-time":"2021-06-07T09:03:29Z","timestamp":1623056609000},"page":"2905-2917","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Interval assessments of identified parameters for uncertain structures"],"prefix":"10.1007","volume":"38","author":[{"given":"Jiachang","family":"Tang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lixiong","family":"Cao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chenji","family":"Mi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chunming","family":"Fu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qiming","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,6,7]]},"reference":[{"key":"1432_CR1","volume-title":"Regularization of inverse problems","author":"HW Engl","year":"2000","unstructured":"Engl HW, Ramlau R (2000) Regularization of inverse problems. Kluwer Academic Publishers"},{"key":"1432_CR2","doi-asserted-by":"publisher","first-page":"342","DOI":"10.1137\/1.9780898717921","volume-title":"Inverse problem theory and methods for model parameter estimation","author":"A Tarantola","year":"2005","unstructured":"Tarantola A (2005) Inverse problem theory and methods for model parameter estimation, vol xii. Society for Industrial & Applied Mathematics, Philadelphia, p 342"},{"issue":"1","key":"1432_CR3","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1137\/080716542","volume":"2","author":"A Beck","year":"2009","unstructured":"Beck A, Teboulle M (2009) A fast iterative shrinkage-thresholding algorithm for linear inverse problems. SIAM J Imag Sci 2(1):183\u2013202","journal-title":"SIAM J Imag Sci"},{"issue":"4","key":"1432_CR4","doi-asserted-by":"crossref","first-page":"380","DOI":"10.1061\/(ASCE)0733-9399(2002)128:4(380)","volume":"128","author":"JL Beck","year":"2002","unstructured":"Beck JL, Au SK (2002) Bayesian updating of structural models and reliability using markov chain monte carlo simulation. J Eng Mech 128(4):380\u2013391","journal-title":"J Eng Mech"},{"issue":"8","key":"1432_CR5","doi-asserted-by":"publisher","first-page":"1131","DOI":"10.1002\/1096-9845(200008)29:8<1131::AID-EQE959>3.0.CO;2-J","volume":"29","author":"H Sohn","year":"2015","unstructured":"Sohn H, Law KH (2015) Bayesian probabilistic damage detection of a reinforced-concrete bridge column. Earthq Eng Struct Dynam 29(8):1131\u20131152","journal-title":"Earthq Eng Struct Dynam"},{"key":"1432_CR6","doi-asserted-by":"publisher","first-page":"51","DOI":"10.1016\/j.ress.2016.07.021","volume":"156","author":"J Liu","year":"2016","unstructured":"Liu J, Hu Y, Xu C, Jiang C, Han X (2016) Probability assessments of identified parameters for stochastic structures using point estimation method. Reliab Eng Syst Saf 156:51\u201358. https:\/\/doi.org\/10.1016\/j.ress.2016.07.021","journal-title":"Reliab Eng Syst Saf"},{"issue":"3","key":"1432_CR7","doi-asserted-by":"publisher","first-page":"587","DOI":"10.1016\/j.jsv.2005.07.006","volume":"288","author":"JR Fonseca","year":"2005","unstructured":"Fonseca JR, Friswell MI, Mottershead JE, Lees AW (2005) Uncertainty identification by the maximum likelihood method. J Sound Vib 288(3):587\u2013599. https:\/\/doi.org\/10.1016\/j.jsv.2005.07.006","journal-title":"J Sound Vib"},{"key":"1432_CR8","doi-asserted-by":"publisher","first-page":"14","DOI":"10.1155\/2017\/7901918","volume":"2017","author":"H Liu","year":"2017","unstructured":"Liu H, Tang L, Lin P (2017) Maximum likelihood estimation of model uncertainty in predicting soil nail loads using default and modified FHWA simplified methods. Math Probl Eng 2017:14. https:\/\/doi.org\/10.1155\/2017\/7901918","journal-title":"Math Probl Eng"},{"key":"1432_CR9","doi-asserted-by":"publisher","unstructured":"Tang L, Lin P (2018) Estimation of ultimate bond strength for soil nails in clayey soils using maximum likelihood method AU - Liu, Huifen. In: Georisk: Assessment and Management of Risk for Engineered Systems and Geohazards 12 (3):190\u2013202. doi:https:\/\/doi.org\/10.1080\/17499518.2017.1422525","DOI":"10.1080\/17499518.2017.1422525"},{"issue":"15","key":"1432_CR10","doi-asserted-by":"publisher","first-page":"1765","DOI":"10.1002\/nag.2810","volume":"42","author":"T Janda","year":"2018","unstructured":"Janda T, \u0160ejnoha M, \u0160ejnoha J (2018) Applying Bayesian approach to predict deformations during tunnel construction. Int J Numer Anal Meth Geomech 42(15):1765\u20131784. https:\/\/doi.org\/10.1002\/nag.2810","journal-title":"Int J Numer Anal Meth Geomech"},{"issue":"6","key":"1432_CR11","doi-asserted-by":"publisher","first-page":"3194","DOI":"10.1109\/TGRS.2017.2664078","volume":"55","author":"C Ma","year":"2017","unstructured":"Ma C, Li X, Notarnicola C, Wang S, Wang W (2017) Uncertainty quantification of soil moisture estimations based on a bayesian probabilistic inversion. IEEE Trans Geosci Remote Sens 55(6):3194\u20133207. https:\/\/doi.org\/10.1109\/TGRS.2017.2664078","journal-title":"IEEE Trans Geosci Remote Sens"},{"issue":"17","key":"1432_CR12","doi-asserted-by":"publisher","first-page":"3927","DOI":"10.1016\/j.ijheatmasstransfer.2004.02.028","volume":"47","author":"J Wang","year":"2004","unstructured":"Wang J, Zabaras N (2004) A Bayesian inference approach to the inverse heat conduction problem. Int J Heat Mass Transf 47(17):3927\u20133941. https:\/\/doi.org\/10.1016\/j.ijheatmasstransfer.2004.02.028","journal-title":"Int J Heat Mass Transf"},{"issue":"5","key":"1432_CR13","doi-asserted-by":"publisher","first-page":"215","DOI":"10.1016\/0148-9062(83)90002-5","volume":"20","author":"A Cividini","year":"1983","unstructured":"Cividini A, Maier G, Nappi A (1983) Parameter estimation of a static geotechnical model using a Bayes\u2019 approach. Int J Rock Mech Min Sci Geomech Abstracts 20(5):215\u2013226. https:\/\/doi.org\/10.1016\/0148-9062(83)90002-5","journal-title":"Int J Rock Mech Min Sci Geomech Abstracts"},{"issue":"3","key":"1432_CR14","first-page":"201","volume":"26","author":"W Zhang","year":"2011","unstructured":"Zhang W, Han X, Liu J, Tan ZH (2011) A combined sensitive matrix method and maximum likelihood method for uncertainty inverse problems. Comput Mater Continua 26(3):201\u2013225","journal-title":"Comput Mater Continua"},{"key":"1432_CR15","doi-asserted-by":"publisher","DOI":"10.1007\/s00366-020-01198-2","author":"M Yang","year":"2020","unstructured":"Yang M, Zhang D, Han X (2020) Enriched single-loop approach for reliability-based design optimization of complex nonlinear problems. Eng Comput. https:\/\/doi.org\/10.1007\/s00366-020-01198-2","journal-title":"Eng Comput"},{"key":"1432_CR16","doi-asserted-by":"publisher","first-page":"113018","DOI":"10.1016\/j.cma.2020.113018","volume":"366","author":"M Yang","year":"2020","unstructured":"Yang M, Zhang D, Han X (2020) New efficient and robust method for structural reliability analysis and its application in reliability-based design optimization. Comput Methods Appl Mech Eng 366:113018. https:\/\/doi.org\/10.1016\/j.cma.2020.113018","journal-title":"Comput Methods Appl Mech Eng"},{"key":"1432_CR17","doi-asserted-by":"publisher","first-page":"113336","DOI":"10.1016\/j.cma.2020.113336","volume":"372","author":"N-C Xiao","year":"2020","unstructured":"Xiao N-C, Zhan H, Yuan K (2020) A new reliability method for small failure probability problems by combining the adaptive importance sampling and surrogate models. Comput Methods Appl Mech Eng 372:113336. https:\/\/doi.org\/10.1016\/j.cma.2020.113336","journal-title":"Comput Methods Appl Mech Eng"},{"key":"1432_CR18","doi-asserted-by":"publisher","first-page":"330","DOI":"10.1016\/j.ress.2017.09.008","volume":"169","author":"N-C Xiao","year":"2018","unstructured":"Xiao N-C, Zuo MJ, Zhou C (2018) A new adaptive sequential sampling method to construct surrogate models for efficient reliability analysis. Reliab Eng Syst Saf 169:330\u2013338. https:\/\/doi.org\/10.1016\/j.ress.2017.09.008","journal-title":"Reliab Eng Syst Saf"},{"key":"1432_CR19","doi-asserted-by":"publisher","DOI":"10.1109\/TR.2020.3001232","author":"D Zhang","year":"2020","unstructured":"Zhang D, Zhang N, Ye N, Fang J, Han X (2020) Hybrid learning algorithm of radial basis function networks for reliability analysis. IEEE Trans Reliabi. https:\/\/doi.org\/10.1109\/TR.2020.3001232","journal-title":"IEEE Trans Reliabi"},{"key":"1432_CR20","doi-asserted-by":"publisher","first-page":"107106","DOI":"10.1016\/j.ymssp.2020.107106","volume":"147","author":"J Wu","year":"2021","unstructured":"Wu J, Zhang D, Jiang C, Han X, Li Q (2021) On reliability analysis method through rotational sparse grid nodes. Mech Syst Signal Process 147:107106. https:\/\/doi.org\/10.1016\/j.ymssp.2020.107106","journal-title":"Mech Syst Signal Process"},{"key":"1432_CR21","doi-asserted-by":"publisher","DOI":"10.1007\/s00158-020-02781-3","author":"M Yang","year":"2021","unstructured":"Yang M, Zhang D, Cheng C, Han X (2021) Reliability-based design optimization for RV reducer with experimental constraint. Struct Multidiscip Optim. https:\/\/doi.org\/10.1007\/s00158-020-02781-3","journal-title":"Struct Multidiscip Optim"},{"key":"1432_CR22","volume-title":"Interval analysis","author":"RE Moore","year":"1966","unstructured":"Moore RE (1966) Interval analysis. Prentice-Hall, Englewood Cliffs"},{"key":"1432_CR23","volume-title":"Fuzzy sets and fuzzy logic: theory and applications","author":"GJ Klir","year":"1995","unstructured":"Klir GJ, Yuan B (1995) Fuzzy sets and fuzzy logic: theory and applications. Prentice-Hall, Inc."},{"issue":"2","key":"1432_CR24","doi-asserted-by":"publisher","first-page":"91","DOI":"10.1016\/0167-4730(95)00004-N","volume":"17","author":"Y Ben-Haim","year":"1995","unstructured":"Ben-Haim Y (1995) A non-probabilistic measure of reliability of linear systems based on expansion of convex models. Struct Saf 17(2):91\u2013109. https:\/\/doi.org\/10.1016\/0167-4730(95)00004-N","journal-title":"Struct Saf"},{"issue":"26","key":"1432_CR25","doi-asserted-by":"publisher","first-page":"7313","DOI":"10.1016\/j.jsv.2014.08.027","volume":"333","author":"H L\u00fc","year":"2014","unstructured":"L\u00fc H, Yu D (2014) Brake squeal reduction of vehicle disc brake system with interval parameters by uncertain optimization. J Sound Vib 333(26):7313\u20137325. https:\/\/doi.org\/10.1016\/j.jsv.2014.08.027","journal-title":"J Sound Vib"},{"key":"1432_CR26","doi-asserted-by":"publisher","first-page":"126","DOI":"10.1016\/j.compstruc.2015.08.009","volume":"160","author":"B Xia","year":"2015","unstructured":"Xia B, L\u00fc H, Yu D, Jiang C (2015) Reliability-based design optimization of structural systems under hybrid probabilistic and interval model. Comput Struct 160:126\u2013134. https:\/\/doi.org\/10.1016\/j.compstruc.2015.08.009","journal-title":"Comput Struct"},{"key":"1432_CR27","doi-asserted-by":"crossref","unstructured":"Moore R (1979) Method and application of interval analysis, vol 2. Siam","DOI":"10.1137\/1.9781611970906"},{"issue":"4","key":"1432_CR28","doi-asserted-by":"publisher","first-page":"727","DOI":"10.2514\/2.164","volume":"35","author":"SS Rao","year":"1997","unstructured":"Rao SS, Berke L (1997) Analysis of uncertain structural systems using interval analysis. AIAA J 35(4):727\u2013735. https:\/\/doi.org\/10.2514\/2.164","journal-title":"AIAA J"},{"issue":"1","key":"1432_CR29","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.paerosci.2005.02.001","volume":"41","author":"NV Queipo","year":"2005","unstructured":"Queipo NV, Haftka RT, Wei S, Goel T, Vaidyanathan R, Tucker PK (2005) Surrogate-based analysis and optimization. Prog Aerosp Sci 41(1):1\u201328","journal-title":"Prog Aerosp Sci"},{"key":"1432_CR30","doi-asserted-by":"crossref","unstructured":"Forrester AIJ, S\u00f3bester A, Keane AJ (2008) Engineering design via surrogate modelling: a practical guide. Wiley, Chichester","DOI":"10.1002\/9780470770801"},{"key":"1432_CR31","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970906","volume-title":"Methods and apolications of interval analysis","author":"RE Moore","year":"1979","unstructured":"Moore RE, Moore RE (1979) Methods and apolications of interval analysis. Society for Industrial & Applied Mathematics, Philadelphia"},{"key":"1432_CR32","doi-asserted-by":"publisher","first-page":"5","DOI":"10.1007\/978-1-4471-0249-6","volume-title":"Applied interval analysis","author":"L Jaulin","year":"2001","unstructured":"Jaulin L, Kieffer M, Didrit O (2001) Applied interval analysis. Springer, Berlin, p 5"},{"issue":"2","key":"1432_CR33","doi-asserted-by":"publisher","first-page":"347","DOI":"10.1006\/jsvi.1993.1340","volume":"167","author":"JE Mottershead","year":"1993","unstructured":"Mottershead JE, Friswell MI (1993) Model updating in structural dynamics: a survey. J Sound Vib 167(2):347\u2013375","journal-title":"J Sound Vib"},{"issue":"1","key":"1432_CR34","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1006\/mssp.2000.1351","volume":"15","author":"FM Hemez","year":"2001","unstructured":"Hemez FM, Doebling SW (2001) Review and Assessment of Model Updating for Non-Linear Transient Dynamics. Mech Syst Signal Process 15(1):45\u201374","journal-title":"Mech Syst Signal Process"},{"issue":"25","key":"1432_CR35","doi-asserted-by":"publisher","first-page":"1869","DOI":"10.1016\/S0045-7949(02)00217-1","volume":"80","author":"A Teughels","year":"2002","unstructured":"Teughels A, Maeck J, De Roeck G (2002) Damage assessment by FE model updating using damage functions. Comput Struct 80(25):1869\u20131879. https:\/\/doi.org\/10.1016\/S0045-7949(02)00217-1","journal-title":"Comput Struct"},{"key":"1432_CR36","doi-asserted-by":"publisher","first-page":"909","DOI":"10.1016\/j.ymssp.2015.01.016","volume":"60\u201361","author":"SE Fang","year":"2015","unstructured":"Fang SE, Zhang QH, Ren WX (2015) An interval model updating strategy using interval response surface models. Mech Syst Signal Process 60\u201361:909\u2013927","journal-title":"Mech Syst Signal Process"},{"key":"1432_CR37","doi-asserted-by":"publisher","first-page":"699","DOI":"10.1016\/j.ymssp.2016.09.001","volume":"84","author":"Z Deng","year":"2017","unstructured":"Deng Z, Guo Z, Zhang X (2017) Interval model updating using perturbation method and radial basis function neural networks. Mech Syst Signal Process 84:699\u2013716","journal-title":"Mech Syst Signal Process"},{"issue":"4","key":"1432_CR38","doi-asserted-by":"publisher","first-page":"539","DOI":"10.1007\/s11340-007-9081-5","volume":"48","author":"C Jiang","year":"2008","unstructured":"Jiang C, Liu GR, Han X (2008) A novel method for uncertainty inverse problems and application to material characterization of composites. Exp Mech 48(4):539\u2013548","journal-title":"Exp Mech"},{"issue":"4","key":"1432_CR39","doi-asserted-by":"publisher","first-page":"667","DOI":"10.1142\/S0219876211002757","volume":"08","author":"J Liu","year":"2011","unstructured":"Liu J, Han X, Jiang C, Ning HM, Bai YC (2011) Dynamic load identification for uncertain structures based on interval analysis and regularization method. Int J Comput Methods 08(4):667\u2013683","journal-title":"Int J Comput Methods"},{"issue":"2","key":"1432_CR40","doi-asserted-by":"publisher","first-page":"315","DOI":"10.4271\/2016-01-0277","volume":"9","author":"X Feng","year":"2016","unstructured":"Feng X, Zhuo K, Wu J, Godara V, Zhang Y (2016) A new interval inverse analysis method and its application in vehicle suspension design. SAE Int J Mater Manf 9(2):315\u2013320. https:\/\/doi.org\/10.4271\/2016-01-0277","journal-title":"SAE Int J Mater Manf"},{"key":"1432_CR41","doi-asserted-by":"publisher","first-page":"732","DOI":"10.1016\/j.apm.2018.07.009","volume":"63","author":"J Liu","year":"2018","unstructured":"Liu J, Cai H, Jiang C, Han X, Zhang Z (2018) An interval inverse method based on high dimensional model representation and affine arithmetic. Appl Math Model 63:732\u2013743. https:\/\/doi.org\/10.1016\/j.apm.2018.07.009","journal-title":"Appl Math Model"},{"issue":"1","key":"1432_CR42","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1137\/S0895479897326432","volume":"21","author":"G Golub","year":"1999","unstructured":"Golub G, Hansen P, O\u2019Leary D (1999) Tikhonov Regularization and Total Least Squares. SIAM J Matrix Anal Appl 21(1):185\u2013194. https:\/\/doi.org\/10.1137\/S0895479897326432","journal-title":"SIAM J Matrix Anal Appl"},{"key":"1432_CR43","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-009-1740-8","volume-title":"Regularization of inverse problems","author":"HW Engl","year":"1996","unstructured":"Engl HW, Hanke M, Neubauer A (1996) Regularization of inverse problems, vol 375. Springer Science & Business Media"},{"issue":"13","key":"1432_CR44","first-page":"2292","volume":"65","author":"S Rahman","year":"2010","unstructured":"Rahman S, Xu H (2010) A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics. Probab Eng Mech 65(13):2292\u20132292","journal-title":"Probab Eng Mech"},{"issue":"10","key":"1432_CR45","doi-asserted-by":"publisher","first-page":"3884","DOI":"10.1016\/j.jcp.2010.01.033","volume":"229","author":"X Ma","year":"2010","unstructured":"Ma X, Zabaras N (2010) An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations. J Comput Phys 229(10):3884\u20133915","journal-title":"J Comput Phys"},{"issue":"1","key":"1432_CR46","doi-asserted-by":"publisher","first-page":"121","DOI":"10.1007\/s00158-010-0546-2","volume":"43","author":"G Li","year":"2011","unstructured":"Li G, Zhang K (2011) A combined reliability analysis approach with dimension reduction method and maximum entropy method. Struct Multidiscip Optim 43(1):121\u2013134","journal-title":"Struct Multidiscip Optim"},{"issue":"8","key":"1432_CR47","doi-asserted-by":"publisher","first-page":"857","DOI":"10.1002\/nme.4412","volume":"93","author":"X Huang","year":"2013","unstructured":"Huang X, Zhang Y (2013) Reliability\u2013sensitivity analysis using dimension reduction methods and saddlepoint approximations. Int J Numer Meth Eng 93(8):857\u2013886. https:\/\/doi.org\/10.1002\/nme.4412","journal-title":"Int J Numer Meth Eng"},{"issue":"9","key":"1432_CR48","doi-asserted-by":"publisher","first-page":"1609","DOI":"10.1007\/s12541-012-0211-3","volume":"13","author":"G Lee","year":"2012","unstructured":"Lee G, Yook S, Kang K, Choi DH (2012) Reliability-based design optimization using an enhanced dimension reduction method with variable sampling points. Int J Precis Eng Manuf 13(9):1609\u20131618","journal-title":"Int J Precis Eng Manuf"},{"key":"1432_CR49","doi-asserted-by":"publisher","DOI":"10.1007\/s00158-015-1337-6","volume-title":"Reliability-based design optimization by adaptive-sparse polynomial dimensional decomposition","author":"X Ren","year":"2016","unstructured":"Ren X, Yadav V, Rahman S (2016) Reliability-based design optimization by adaptive-sparse polynomial dimensional decomposition. Springer-Verlag New York, Inc."},{"issue":"9","key":"1432_CR50","doi-asserted-by":"publisher","first-page":"582","DOI":"10.1016\/j.compstruc.2009.02.009","volume":"87","author":"SH Chen","year":"2009","unstructured":"Chen SH, Ma L, Meng GW, Guo R (2009) An efficient method for evaluating the natural frequencies of structures with uncertain-but-bounded parameters. Comput Struct 87(9):582\u2013590. https:\/\/doi.org\/10.1016\/j.compstruc.2009.02.009","journal-title":"Comput Struct"},{"key":"1432_CR51","doi-asserted-by":"publisher","first-page":"418","DOI":"10.1016\/j.jsv.2017.01.041","volume":"394","author":"M Xu","year":"2017","unstructured":"Xu M, Du J, Wang C, Li Y (2017) A dimension-wise analysis method for the structural-acoustic system with interval parameters. J Sound Vib 394:418\u2013433","journal-title":"J Sound Vib"},{"issue":"3","key":"1432_CR52","first-page":"239","volume":"113","author":"JC Tang","year":"2017","unstructured":"Tang JC, Fu CM (2017) A dimension-reduction interval analysis method for uncertain problems. CMES-Comput Model Eng Sci 113(3):239\u2013259","journal-title":"CMES-Comput Model Eng Sci"},{"issue":"2","key":"1432_CR53","doi-asserted-by":"publisher","first-page":"119","DOI":"10.1016\/0167-4730(88)90020-3","volume":"5","author":"CG Bucher","year":"1988","unstructured":"Bucher CG (1988) Adaptive sampling\u2014an iterative fast Monte Carlo procedure. Struct Saf 5(2):119\u2013126. https:\/\/doi.org\/10.1016\/0167-4730(88)90020-3","journal-title":"Struct Saf"},{"issue":"1","key":"1432_CR54","doi-asserted-by":"publisher","first-page":"59","DOI":"10.1016\/0167-4730(93)90018-V","volume":"12","author":"Y Mori","year":"1993","unstructured":"Mori Y, Ellingwood BR (1993) Time-dependent system reliability analysis by adaptive importance sampling. Struct Saf 12(1):59\u201373. https:\/\/doi.org\/10.1016\/0167-4730(93)90018-V","journal-title":"Struct Saf"},{"issue":"4","key":"1432_CR55","doi-asserted-by":"publisher","first-page":"3312","DOI":"10.1137\/17m1154679","volume":"28","author":"R Bollapragada","year":"2018","unstructured":"Bollapragada R, Byrd R, Nocedal J (2018) Adaptive Sampling Strategies for Stochastic Optimization. SIAM J Optim 28(4):3312\u20133343. https:\/\/doi.org\/10.1137\/17m1154679","journal-title":"SIAM J Optim"},{"issue":"2","key":"1432_CR56","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1016\/S0167-4730(99)00014-4","volume":"21","author":"SK Au","year":"1999","unstructured":"Au SK, Beck JL (1999) A new adaptive importance sampling scheme for reliability calculations. Struct Saf 21(2):135\u2013158. https:\/\/doi.org\/10.1016\/S0167-4730(99)00014-4","journal-title":"Struct Saf"},{"issue":"7","key":"1432_CR57","first-page":"2104","volume":"xiii","author":"DE Goldberg","year":"1990","unstructured":"Goldberg DE (1990) Genetic algorithms in search. Optim Mach Learn xiii(7):2104\u20132116","journal-title":"Optim Mach Learn"},{"key":"1432_CR58","volume-title":"Introduction to parallel computing","author":"V Kumar","year":"2002","unstructured":"Kumar V (2002) Introduction to parallel computing. Addison-Wesley Longman Publishing Co., Inc."},{"issue":"16","key":"1432_CR59","doi-asserted-by":"publisher","first-page":"1781","DOI":"10.1002\/jcc.20289","volume":"26","author":"JC Phillips","year":"2005","unstructured":"Phillips JC, Braun R, Wang W, Gumbart J, Tajkhorshid E, Villa E, Chipot C, Skeel RD, Kal\u00e9 L, Schulten K (2005) Scalable molecular dynamics with NAMD. J Comput Chem 26(16):1781\u20131802. https:\/\/doi.org\/10.1002\/jcc.20289","journal-title":"J Comput Chem"},{"issue":"5","key":"1432_CR60","doi-asserted-by":"publisher","first-page":"219","DOI":"10.1016\/j.advengsoft.2010.10.003","volume":"42","author":"PG Coelho","year":"2011","unstructured":"Coelho PG, Cardoso JB, Fernandes PR, Rodrigues HC (2011) Parallel computing techniques applied to the simultaneous design of structure and material. Adv Eng Softw 42(5):219\u2013227. https:\/\/doi.org\/10.1016\/j.advengsoft.2010.10.003","journal-title":"Adv Eng Softw"},{"issue":"4","key":"1432_CR61","doi-asserted-by":"publisher","first-page":"608","DOI":"10.1016\/j.optlaseng.2011.06.020","volume":"50","author":"W Gao","year":"2012","unstructured":"Gao W, Kemao Q (2012) Parallel computing in experimental mechanics and optical measurement: A review. Opt Lasers Eng 50(4):608\u2013617. https:\/\/doi.org\/10.1016\/j.optlaseng.2011.06.020","journal-title":"Opt Lasers Eng"},{"key":"1432_CR62","volume-title":"Simulation and the Monte Carlo Method","author":"RY Rubinstein","year":"2008","unstructured":"Rubinstein RY (2008) Simulation and the Monte Carlo Method. Wiley"},{"issue":"1","key":"1432_CR63","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/S0167-7152(98)00003-0","volume":"39","author":"T-J Wu","year":"1998","unstructured":"Wu T-J, Sepulveda A (1998) The weighted average information criterion for order selection in time series and regression models. Statist Probab Lett 39(1):1\u201310. https:\/\/doi.org\/10.1016\/S0167-7152(98)00003-0","journal-title":"Statist Probab Lett"},{"issue":"1","key":"1432_CR64","doi-asserted-by":"publisher","first-page":"49","DOI":"10.1016\/j.sigpro.2012.06.017","volume":"93","author":"T-J Wu","year":"2013","unstructured":"Wu T-J, Chen P, Yan Y (2013) The weighted average information criterion for multivariate regression model selection. Signal Process 93(1):49\u201355. https:\/\/doi.org\/10.1016\/j.sigpro.2012.06.017","journal-title":"Signal Process"}],"container-title":["Engineering with Computers"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00366-021-01432-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00366-021-01432-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00366-021-01432-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,4]],"date-time":"2023-11-04T16:15:48Z","timestamp":1699114548000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00366-021-01432-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,6,7]]},"references-count":64,"journal-issue":{"issue":"S4","published-print":{"date-parts":[[2022,10]]}},"alternative-id":["1432"],"URL":"https:\/\/doi.org\/10.1007\/s00366-021-01432-5","relation":{},"ISSN":["0177-0667","1435-5663"],"issn-type":[{"value":"0177-0667","type":"print"},{"value":"1435-5663","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,6,7]]},"assertion":[{"value":"24 November 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 May 2021","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 June 2021","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"On behalf of all authors, the corresponding author states that there is no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}