{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,17]],"date-time":"2026-04-17T16:29:57Z","timestamp":1776443397860,"version":"3.51.2"},"reference-count":45,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2017,8,31]],"date-time":"2017-08-31T00:00:00Z","timestamp":1504137600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"The National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["51505163"],"award-info":[{"award-number":["51505163"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"name":"National Basic Research Program (973 Program) of China","award":["2014CB046703"],"award-info":[{"award-number":["2014CB046703"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Appl Intell"],"published-print":{"date-parts":[[2018,6]]},"DOI":"10.1007\/s10489-017-1031-z","type":"journal-article","created":{"date-parts":[[2017,8,31]],"date-time":"2017-08-31T02:12:33Z","timestamp":1504145553000},"page":"1644-1656","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":26,"title":["An adaptive sampling strategy for Kriging metamodel based on Delaunay triangulation and TOPSIS"],"prefix":"10.1007","volume":"48","author":[{"given":"Ping","family":"Jiang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yahui","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qi","family":"Zhou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xinyu","family":"Shao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jiexiang","family":"Hu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Leshi","family":"Shu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,8,31]]},"reference":[{"issue":"3","key":"1031_CR1","doi-asserted-by":"publisher","first-page":"683","DOI":"10.1016\/j.ejor.2011.05.032","volume":"214","author":"K Crombecq","year":"2011","unstructured":"Crombecq K, Laermans E, Dhaene T (2011) Efficient space-filling and non-collapsing sequential design strategies for simulation-based modeling. Eur J Oper Res 214(3):683\u2013696","journal-title":"Eur J Oper Res"},{"issue":"2","key":"1031_CR2","first-page":"97","volume":"22","author":"C Jiang","year":"2007","unstructured":"Jiang C, Han X (2007) A new uncertain optimization method based on intervals and an approximation management model. Comput Model Eng Sci 22(2):97","journal-title":"Comput Model Eng Sci"},{"issue":"10-12","key":"1031_CR3","doi-asserted-by":"publisher","first-page":"365","DOI":"10.1080\/09544828.2015.1070258","volume":"26","author":"DC Eddy","year":"2015","unstructured":"Eddy D C, Krishnamurty S, Grosse I R, Wileden J C, Lewis K E (2015) A predictive modelling-based material selection method for sustainable product design. J Eng Des 26(10-12):365\u2013390","journal-title":"J Eng Des"},{"key":"1031_CR4","doi-asserted-by":"crossref","unstructured":"Jiang P, Wang J, Zhou Q, Zhang X (2015) An enhanced analytical target cascading and Kriging model combined approach for multidisciplinary design optimization. Math Probl Eng 2015","DOI":"10.1155\/2015\/685958"},{"issue":"3","key":"1031_CR5","doi-asserted-by":"publisher","first-page":"707","DOI":"10.1016\/j.ejor.2007.10.013","volume":"192","author":"JP Kleijnen","year":"2009","unstructured":"Kleijnen J P (2009) Kriging metamodeling in simulation: a review. Eur J Oper Res 192(3):707\u2013716","journal-title":"Eur J Oper Res"},{"issue":"3","key":"1031_CR6","doi-asserted-by":"publisher","first-page":"283","DOI":"10.1016\/j.aei.2016.04.004","volume":"30","author":"Q Zhou","year":"2016","unstructured":"Zhou Q, Shao X, Jiang P, Gao Z, Wang C, Shu L (2016) An active learning metamodeling approach by sequentially exploiting difference information from variable-fidelity models. Adv Eng Inform 30(3):283\u2013297","journal-title":"Adv Eng Inform"},{"issue":"2","key":"1031_CR7","doi-asserted-by":"publisher","first-page":"211","DOI":"10.1016\/j.aei.2016.03.003","volume":"30","author":"C-J Chang","year":"2016","unstructured":"Chang C -J, Lin J -Y, Chang M -J (2016) Extended modeling procedure based on the projected sample for forecasting short-term electricity consumption. Adv Eng Inform 30(2):211\u2013217","journal-title":"Adv Eng Inform"},{"key":"1031_CR8","unstructured":"Liu J, Hu Y, Wu B, Jin C A hybrid health condition monitoring method in milling operations. Int J Adv Manuf Technol 1\u201312"},{"issue":"3","key":"1031_CR9","doi-asserted-by":"publisher","first-page":"368","DOI":"10.1016\/j.aei.2016.05.001","volume":"30","author":"X Wang","year":"2016","unstructured":"Wang X, You M, Mao Z, Yuan P (2016) Tree-structure ensemble general regression neural networks applied to predict the molten steel temperature in ladle furnace. Adv Eng Inform 30(3):368\u2013375","journal-title":"Adv Eng Inform"},{"issue":"4","key":"1031_CR10","first-page":"333","volume":"84","author":"A Shokri","year":"2012","unstructured":"Shokri A, Dehghan M (2012) A meshless method using radial basis functions for the numerical solution of two\u2014dimensional complex Ginzburg\u2014Landau equation. Comput Model Eng Sci 84(4):333","journal-title":"Comput Model Eng Sci"},{"key":"1031_CR11","doi-asserted-by":"publisher","first-page":"18","DOI":"10.1016\/j.simpat.2015.08.002","volume":"59","author":"Q Zhou","year":"2015","unstructured":"Zhou Q, Shao X, Jiang P, Zhou H, Shu L (2015) An adaptive global variable fidelity metamodeling strategy using a support vector regression based scaling function. Simul Model Pract Theory 59:18\u201335","journal-title":"Simul Model Pract Theory"},{"key":"1031_CR12","doi-asserted-by":"publisher","first-page":"26","DOI":"10.1016\/j.aei.2016.12.005","volume":"32","author":"Q Zhou","year":"2017","unstructured":"Zhou Q, Jiang P, Shao X, Hu J, Cao L, Wan L (2017) A variable fidelity information fusion method based on radial basis function. Adv Eng Inform 32:26\u201339","journal-title":"Adv Eng Inform"},{"key":"1031_CR13","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1016\/j.cam.2015.01.007","volume":"282","author":"D Mirzaei","year":"2015","unstructured":"Mirzaei D (2015) Analysis of moving least squares approximation revisited. J Comput Appl Math 282:237\u2013250","journal-title":"J Comput Appl Math"},{"issue":"13","key":"1031_CR14","doi-asserted-by":"publisher","first-page":"6047","DOI":"10.1016\/j.eswa.2014.03.053","volume":"41","author":"A Kavousi-Fard","year":"2014","unstructured":"Kavousi-Fard A, Samet H, Marzbani F (2014) A new hybrid modified firefly algorithm and support vector regression model for accurate short term load forecasting. Exp Syst Appl 41(13):6047\u20136056","journal-title":"Exp Syst Appl"},{"issue":"7","key":"1031_CR15","doi-asserted-by":"publisher","first-page":"1853","DOI":"10.1016\/j.apm.2014.10.015","volume":"39","author":"H Zhao","year":"2015","unstructured":"Zhao H, Yue Z, Liu Y, Gao Z, Zhang Y (2015) An efficient reliability method combining adaptive importance sampling and Kriging metamodel. Appl Math Model 39(7):1853\u20131866","journal-title":"Appl Math Model"},{"issue":"2","key":"1031_CR16","doi-asserted-by":"publisher","first-page":"219","DOI":"10.1007\/s00158-009-0420-2","volume":"41","author":"S Shan","year":"2010","unstructured":"Shan S, Wang G G (2010) Survey of modeling and optimization strategies to solve high-dimensional design problems with computationally-expensive black-box functions. Struct Multidiscip Optim 41(2):219\u2013241","journal-title":"Struct Multidiscip Optim"},{"issue":"2","key":"1031_CR17","doi-asserted-by":"publisher","first-page":"221","DOI":"10.1007\/s00158-012-0820-6","volume":"47","author":"X Song","year":"2013","unstructured":"Song X, Sun G, Li G, Gao W, Li Q (2013) Crashworthiness optimization of foam-filled tapered thin-walled structure using multiple surrogate models. Struct Multidiscip Optim 47(2):221\u2013231","journal-title":"Struct Multidiscip Optim"},{"key":"1031_CR18","unstructured":"Wang H, Fan T, Li G (2016) Reanalysis-based space mapping method, an alternative optimization way for expensive simulation-based problems. Struct Multidiscip Optim 1\u201315"},{"issue":"3","key":"1031_CR19","doi-asserted-by":"publisher","first-page":"1103","DOI":"10.1016\/j.jspi.2004.08.007","volume":"136","author":"D Bursztyn","year":"2006","unstructured":"Bursztyn D, Steinberg D M (2006) Comparison of designs for computer experiments. J Stat Plan Infer 136 (3):1103\u20131119","journal-title":"J Stat Plan Infer"},{"issue":"2","key":"1031_CR20","doi-asserted-by":"publisher","first-page":"697","DOI":"10.1016\/j.cirp.2008.09.007","volume":"57","author":"R Roy","year":"2008","unstructured":"Roy R, Hinduja S, Teti R (2008) Recent advances in engineering design optimisation: challenges and future trends. CIRP Ann-Manuf Technol 57(2):697\u2013715","journal-title":"CIRP Ann-Manuf Technol"},{"issue":"7","key":"1031_CR21","doi-asserted-by":"publisher","first-page":"2165","DOI":"10.1108\/EC-04-2015-0088","volume":"33","author":"J Zheng","year":"2016","unstructured":"Zheng J, Li Z, Gao L, Jiang G (2016) A parameterized lower confidence bounding scheme for adaptive metamodel-based design optimization. Eng Comput 33(7):2165\u20132184","journal-title":"Eng Comput"},{"issue":"1","key":"1031_CR22","doi-asserted-by":"publisher","first-page":"133","DOI":"10.1007\/s11425-010-4144-y","volume":"54","author":"Y Zhang","year":"2011","unstructured":"Zhang Y, Li W, Mao S, Zheng Z (2011) Orthogonal arrays obtained by generalized difference matrices with g levels. Sci Chin Math 54(1):133\u2013143","journal-title":"Sci Chin Math"},{"issue":"5","key":"1031_CR23","doi-asserted-by":"publisher","first-page":"394","DOI":"10.1111\/mice.12088","volume":"30","author":"M Vo\u0159echovsk\u00fd","year":"2015","unstructured":"Vo\u0159echovsk\u00fd M (2015) Hierarchical refinement of Latin hypercube samples. Comput-Aided Civil Infrastruct Eng 30(5):394\u2013411","journal-title":"Comput-Aided Civil Infrastruct Eng"},{"issue":"1","key":"1031_CR24","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1080\/00401706.2000.10485979","volume":"42","author":"MD McKay","year":"2000","unstructured":"McKay M D, Beckman R J, Conover W J (2000) A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics 42(1):55\u201361","journal-title":"Technometrics"},{"issue":"7","key":"1031_CR25","doi-asserted-by":"publisher","first-page":"867","DOI":"10.1080\/0305215X.2014.928816","volume":"47","author":"H Liu","year":"2015","unstructured":"Liu H, Xu S, Wang X (2015) Sequential sampling designs based on space reduction. Eng Optim 47 (7):867\u2013884","journal-title":"Eng Optim"},{"issue":"8","key":"1031_CR26","doi-asserted-by":"publisher","first-page":"691","DOI":"10.1080\/03052150903386674","volume":"42","author":"A Younis","year":"2010","unstructured":"Younis A, Dong Z (2010) Trends, features, and tests of common and recently introduced global optimization methods. Eng Optim 42(8):691\u2013718","journal-title":"Eng Optim"},{"issue":"8","key":"1031_CR27","doi-asserted-by":"publisher","first-page":"793","DOI":"10.1080\/03052150902852999","volume":"41","author":"F Xiong","year":"2009","unstructured":"Xiong F, Xiong Y, Chen W, Yang S (2009) Optimizing Latin hypercube design for sequential sampling of computer experiments. Eng Optim 41(8):793\u2013810","journal-title":"Eng Optim"},{"key":"1031_CR28","doi-asserted-by":"crossref","unstructured":"Jin R, Chen W, Sudjianto A (2002) On sequential sampling for global metamodeling in engineering design. In: ASME 2002 International design engineering technical conferences and computers and information in engineering conference. American Society of Mechanical Engineers, pp 539-548","DOI":"10.1115\/DETC2002\/DAC-34092"},{"issue":"15","key":"1031_CR29","doi-asserted-by":"publisher","first-page":"2104","DOI":"10.1002\/nme.1261","volume":"62","author":"A Farhang-Mehr","year":"2005","unstructured":"Farhang-Mehr A, Azarm S (2005) Bayesian meta-modelling of engineering design simulations: a sequential approach with adaptation to irregularities in the response behaviour. Int J Numer Methods Eng 62(15):2104\u20132126","journal-title":"Int J Numer Methods Eng"},{"key":"1031_CR30","doi-asserted-by":"crossref","unstructured":"Forrester A, Sobester A, Keane A (2008) Engineering design via surrogate modelling: a practical guide. Wiley","DOI":"10.1002\/9780470770801"},{"key":"1031_CR31","unstructured":"Lin Y (2004) An efficient robust concept exploration method and sequential exploratory experimental design"},{"issue":"1\u20136","key":"1031_CR32","doi-asserted-by":"publisher","first-page":"137","DOI":"10.1007\/s00158-009-0395-z","volume":"40","author":"G Li","year":"2010","unstructured":"Li G, Aute V, Azarm S (2010) An accumulative error based adaptive design of experiments for offline metamodeling. Struct Multidiscip Optim 40(1\u20136):137\u2013155","journal-title":"Struct Multidiscip Optim"},{"issue":"2","key":"1031_CR33","doi-asserted-by":"publisher","first-page":"644","DOI":"10.1007\/s10957-014-0576-9","volume":"164","author":"Q Yang","year":"2015","unstructured":"Yang Q, Xue D (2015) A weighted sequential sampling method considering influences of sample qualities in input and output parameter spaces for global optimization. J Optim Theory Appl 164(2):644\u2013665","journal-title":"J Optim Theory Appl"},{"issue":"793\u2013800","key":"1031_CR34","first-page":"1","volume":"7","author":"B Delaunay","year":"1934","unstructured":"Delaunay B (1934) Sur la sphere vide. Izv Akad Nauk SSSR. Otdelenie Matematicheskii i Estestvennyka Nauk 7(793\u2013800):1\u20132","journal-title":"Otdelenie Matematicheskii i Estestvennyka Nauk"},{"key":"1031_CR35","doi-asserted-by":"crossref","unstructured":"He Y, Guo H, Jin M, Ren P (2016) A linguistic entropy weight method and its application in linguistic multi-attribute group decision making. Nonlin Dyn 1\u20136","DOI":"10.1007\/s11071-015-2595-y"},{"key":"1031_CR36","unstructured":"Hwang C-L, Yoon K (2012) Multiple attribute decision making: methods and applications a state-of-the-art survey, vol 186. Springer Science & Business Media"},{"issue":"7","key":"1031_CR37","doi-asserted-by":"publisher","first-page":"1567","DOI":"10.1016\/j.ins.2006.09.008","volume":"177","author":"C Kahraman","year":"2007","unstructured":"Kahraman C, B\u00fcy\u00fck\u00f6zkan G, Ate\u015f N Y (2007) A two phase multi-attribute decision-making approach for new product introduction. Inform Sci 177(7):1567\u20131582","journal-title":"Inform Sci"},{"key":"1031_CR38","doi-asserted-by":"crossref","unstructured":"Sacks J, Welch W J, Mitchell T J, Wynn H P (1989) Design and analysis of computer experiments. Stat Sci 409\u2013423","DOI":"10.1214\/ss\/1177012413"},{"issue":"2","key":"1031_CR39","doi-asserted-by":"publisher","first-page":"211","DOI":"10.1109\/34.44407","volume":"12","author":"M T\u00fcceryan","year":"1990","unstructured":"T\u00fcceryan M, Jain A K (1990) Texture segmentation using Voronoi polygons. IEEE Trans Pattern Anal Mach Intell 12(2):211\u2013216","journal-title":"IEEE Trans Pattern Anal Mach Intell"},{"issue":"2","key":"1031_CR40","doi-asserted-by":"publisher","first-page":"211","DOI":"10.1007\/s11063-014-9339-8","volume":"41","author":"M Tang","year":"2015","unstructured":"Tang M, Pan S (2015) A hybrid genetic algorithm for the energy-efficient virtual machine placement problem in data centers. Neural Process Lett 41(2):211\u2013221","journal-title":"Neural Process Lett"},{"key":"1031_CR41","unstructured":"Rastrigin L (1974) Extremal control systems theoretical foundations of engineering cybernetics series. Nauka"},{"issue":"3","key":"1031_CR42","doi-asserted-by":"publisher","first-page":"581","DOI":"10.1007\/s00158-013-0918-5","volume":"48","author":"V Aute","year":"2013","unstructured":"Aute V, Saleh K, Abdelaziz O, Azarm S, Radermacher R (2013) Cross-validation based single response adaptive design of experiments for Kriging metamodeling of deterministic computer simulations. Struct Multidiscip Optim 48(3):581\u2013605","journal-title":"Struct Multidiscip Optim"},{"key":"1031_CR43","unstructured":"Crombecq K, Couckuyt I, Gorissen D, Dhaene T (2009) Space-filling sequential design strategies for adaptive surrogate modelling. In: The first international conference on soft computing technology in civil, structural and environmental engineering"},{"issue":"6","key":"1031_CR44","doi-asserted-by":"publisher","first-page":"923","DOI":"10.1007\/s00158-010-0529-3","volume":"42","author":"D Zhao","year":"2010","unstructured":"Zhao D, Xue D (2010) A comparative study of metamodeling methods considering sample quality merits. Struct Multidiscip Optim 42(6):923\u2013938","journal-title":"Struct Multidiscip Optim"},{"issue":"4\u20136","key":"1031_CR45","doi-asserted-by":"publisher","first-page":"205","DOI":"10.1080\/09544828.2015.1135236","volume":"27","author":"Q Zhou","year":"2016","unstructured":"Zhou Q, Shao X, Jiang P, Gao Z, Zhou H, Shu L (2016) An active learning variable-fidelity metamodelling approach based on ensemble of metamodels and objective-oriented sequential sampling. J Eng Des 27(4\u20136):205\u2013231","journal-title":"J Eng Des"}],"container-title":["Applied Intelligence"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10489-017-1031-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10489-017-1031-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10489-017-1031-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,3,3]],"date-time":"2020-03-03T07:22:09Z","timestamp":1583220129000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10489-017-1031-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,8,31]]},"references-count":45,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2018,6]]}},"alternative-id":["1031"],"URL":"https:\/\/doi.org\/10.1007\/s10489-017-1031-z","relation":{},"ISSN":["0924-669X","1573-7497"],"issn-type":[{"value":"0924-669X","type":"print"},{"value":"1573-7497","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,8,31]]},"assertion":[{"value":"31 August 2017","order":1,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}