{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,12]],"date-time":"2026-05-12T03:14:06Z","timestamp":1778555646015,"version":"3.51.4"},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[2016,4,19]],"date-time":"2016-04-19T00:00:00Z","timestamp":1461024000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Nature Science Foundation of China","doi-asserted-by":"crossref","award":["51575205"],"award-info":[{"award-number":["51575205"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"name":"National High Technology Research and Development Program (863 Program) of China","award":["2013AA041301"],"award-info":[{"award-number":["2013AA041301"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Glob Optim"],"published-print":{"date-parts":[[2017,1]]},"DOI":"10.1007\/s10898-016-0428-2","type":"journal-article","created":{"date-parts":[[2016,4,19]],"date-time":"2016-04-19T14:45:29Z","timestamp":1461077129000},"page":"399-423","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":18,"title":["An efficient multi-objective PSO algorithm assisted by Kriging metamodel for expensive black-box problems"],"prefix":"10.1007","volume":"67","author":[{"given":"Haoxiang","family":"Jie","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yizhong","family":"Wu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jianjun","family":"Zhao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jianwan","family":"Ding","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"family":"Liangliang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,4,19]]},"reference":[{"key":"428_CR1","doi-asserted-by":"crossref","unstructured":"Bittner, F., Hahn, I.: Kriging-Assisted Multi-Objective Particle Swarm Optimization of permanent magnet synchronous machine for hybrid and electric cars. Paper presented at the electric machines and drives conference (IEMDC), 2013 IEEE International, 12\u201315 May 2013","DOI":"10.1109\/IEMDC.2013.6556123"},{"key":"428_CR2","volume-title":"Empirical Model-Building and Response Surfaces","author":"GEP Box","year":"1987","unstructured":"Box, G.E.P., Draper, N.R.: Empirical Model-Building and Response Surfaces. Wiley, London (1987)"},{"issue":"1","key":"428_CR3","doi-asserted-by":"publisher","first-page":"14","DOI":"10.1016\/j.asoc.2011.09.011","volume":"12","author":"G Chen","year":"2012","unstructured":"Chen, G., Han, X., Liu, G., Jiang, C., Zhao, Z.: An efficient multi-objective optimization method for black-box functions using sequential approximate technique. Appl. Soft Comput. 12(1), 14\u201327 (2012). doi: 10.1016\/j.asoc.2011.09.011","journal-title":"Appl. Soft Comput."},{"issue":"3","key":"428_CR4","doi-asserted-by":"publisher","first-page":"256","DOI":"10.1109\/TEVC.2004.826067","volume":"8","author":"CA Coello","year":"2004","unstructured":"Coello, C.A., Pulido, G.T., Lechuga, M.S.: Handling multiple objectives with particle swarm optimization. IEEE Trans. Evol. Comput. 8(3), 256\u2013279 (2004). doi: 10.1109\/TEVC.2004.826067","journal-title":"IEEE Trans. Evol. Comput."},{"key":"428_CR5","doi-asserted-by":"crossref","unstructured":"Coello, C.A.C., Lechuga, M.S.: MOPSO: a proposal for multiple objective particle swarm optimization. In: Proceedings of the 2002 Congress on Evolutionary Computation, CEC \u201902 (2002)","DOI":"10.1109\/CEC.2002.1004388"},{"key":"428_CR6","volume-title":"Multi-objective Optimization using Evolutionary Algorithm","author":"K Deb","year":"2001","unstructured":"Deb, K.: Multi-objective Optimization using Evolutionary Algorithm. Wiley, London (2001)"},{"key":"428_CR7","doi-asserted-by":"crossref","first-page":"849","DOI":"10.1007\/3-540-45356-3_83","volume":"1917","author":"K Deb","year":"2000","unstructured":"Deb, K., Agrawal, S., Pratap, A., Meyarivan, T.: A fast elitist non-dominated sorting genetic algorithm for multi-objective optimization: NSGA-II. Lect. Notes Comput. Sci. 1917, 849\u2013858 (2000)","journal-title":"Lect. Notes Comput. Sci."},{"key":"428_CR8","doi-asserted-by":"crossref","unstructured":"Deb, K., Thiele, L., Laumanns, M., Zitzler, E.: Scalable multi-objective optimization test problems. In: Paper Presented at the Proceedings of the Congress on Evolutionary Computation (CEC-2002). Honolulu, USA (2002)","DOI":"10.1109\/CEC.2002.1007032"},{"issue":"4","key":"428_CR9","doi-asserted-by":"publisher","first-page":"421","DOI":"10.1109\/TEVC.2005.859463","volume":"10","author":"MTM Emmerich","year":"2006","unstructured":"Emmerich, M.T.M., Giannakoglou, K.C., Naujoks, B.: Single-and multiobjective evolutionary optimization assisted by Gaussian random field metamodels. IEEE Trans. Evol. Comput. 10(4), 421\u2013439 (2006). doi: 10.1109\/TEVC.2005.859463","journal-title":"IEEE Trans. Evol. Comput."},{"issue":"1","key":"428_CR10","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1214\/aos\/1176347963","volume":"19","author":"JH Friedman","year":"1991","unstructured":"Friedman, J.H.: Multivariate adaptive regression splines. Ann. Stat. 19(1), 1\u201367 (1991)","journal-title":"Ann. Stat."},{"key":"428_CR11","unstructured":"Friedman, J.H.: Fast MARS. Ph.D diss, Stanford University. Dept. of Statistics. Laboratory for Computational Statistics (1993)"},{"issue":"4\u20136","key":"428_CR12","doi-asserted-by":"publisher","first-page":"879","DOI":"10.1016\/j.cma.2006.07.010","volume":"196","author":"T Goel","year":"2007","unstructured":"Goel, T., Vaidyanathan, R., Haftka, R.T., Shyy, W., Queipo, N.V., Tucker, K.: Response surface approximation of Pareto optimal front in multi-objective optimization. Comput. Methods Appl. Mech. Eng. 196(4\u20136), 879\u2013893 (2007). doi: 10.1016\/j.cma.2006.07.010","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"1","key":"428_CR13","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1080\/0305215X.2011.564768","volume":"44","author":"J Gu","year":"2012","unstructured":"Gu, J., Li, G.Y., Dong, Z.: Hybrid and adaptive meta-model-based global optimization. Eng. Optim. 44(1), 87\u2013104 (2012)","journal-title":"Eng. Optim."},{"key":"428_CR14","doi-asserted-by":"publisher","unstructured":"Jie, H., Wu, Y., Ding, J.: An adaptive metamodel-based global optimization algorithm for black-box type problems. Eng. Optim. 1\u201322 (2014). doi: 10.1080\/0305215X.2014.979814","DOI":"10.1080\/0305215X.2014.979814"},{"issue":"4","key":"428_CR15","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1023\/A:1008306431147","volume":"13","author":"DR Jones","year":"1998","unstructured":"Jones, D.R., Schonlau, M., Welch, W.J.: Efficient global optimization of expensive black-box functions. J. Glob. Optim. 13(4), 455\u2013492 (1998)","journal-title":"J. Glob. Optim."},{"issue":"6","key":"428_CR16","first-page":"119","volume":"52","author":"DG Krige","year":"1951","unstructured":"Krige, D.G.: A statistical approach to some basic mine valuation problems on the Witwatersrand. J. Chem. Metall. Min. Soc. S. Afr. 52(6), 119\u2013139 (1951)","journal-title":"J. Chem. Metall. Min. Soc. S. Afr."},{"key":"428_CR17","volume-title":"Swarm Intelligence","author":"J Kennedy","year":"2001","unstructured":"Kennedy, J., Eberhart, R.C.: Swarm Intelligence. Morgan Kaufmann Publishers Inc, Burlington (2001)"},{"issue":"3","key":"428_CR18","doi-asserted-by":"publisher","first-page":"031401-01","DOI":"10.1115\/1.2829879","volume":"130","author":"M Li","year":"2008","unstructured":"Li, M., Li, G., Azarm, S.: A Kriging metamodel assisted multi-objective genetic algorithm for design optimization. J. Mech. Des. 130(3), 031401-01 (2008). doi: 10.1115\/1.2829879","journal-title":"J. Mech. Des."},{"key":"428_CR19","unstructured":"Lophaven, S.N., Nielsen, H.B., S\u00f8ndergaard, J.: DACE\u2013A MATLAB Kriging Toolbox\u2014Version 2.0. (2002). http:\/\/www.imm.dtu.dk\/~hbni\/dace\/dace.pdf"},{"key":"428_CR20","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1093\/oso\/9780198534396.003.0003","volume":"2","author":"MJD Powell","year":"1992","unstructured":"Powell, M.J.D.: The theory of radial basis function approximation in 1990. Adv. Numer. Anal. 2, 105\u2013210 (1992)","journal-title":"Adv. Numer. Anal."},{"key":"428_CR21","doi-asserted-by":"crossref","unstructured":"Raquel, C.R., Prospero Jr., C.N.: An effective use of crowding distance in multiobjective particle swarm optimization. In: Proceedings of the 7th Annual Conference on Genetic and Evolutionary Computation, pp. 257\u2013264. ACM, Washington DC, USA 1068047 (2005)","DOI":"10.1145\/1068009.1068047"},{"issue":"4","key":"428_CR22","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1214\/ss\/1177012413","volume":"4","author":"J Sacks","year":"1989","unstructured":"Sacks, J., Welch, W.J., Mitchell, T.J., Wynn, H.P.: Design and analysis of computer experiments. Stat. Sci. 4(4), 409\u2013423 (1989)","journal-title":"Stat. Sci."},{"key":"428_CR23","unstructured":"Schott, J.R.: Fault Tolerant Design Using Single and Multi Criteria Genetic Algorithm Optimization. Master, Massachusetts Institute of Technology (1995)"},{"issue":"7","key":"428_CR24","doi-asserted-by":"publisher","first-page":"881","DOI":"10.2514\/2.7537","volume":"37","author":"R Tappeta","year":"1999","unstructured":"Tappeta, R., Renaud, J.: Interactive multiobjective optimization procedure. AIAA J. 37(7), 881\u2013889 (1999). doi: 10.2514\/2.7537","journal-title":"AIAA J."},{"issue":"2","key":"428_CR25","first-page":"125","volume":"8","author":"DA Veldhuizen Van","year":"1998","unstructured":"Van Veldhuizen, D.A., Lamont, G.B.: Multiobjective evolutionary algorithm research: A history and analysis. Evol. Comput. 8(2), 125\u2013147 (1998)","journal-title":"A history and analysis. Evol. Comput."},{"key":"428_CR26","doi-asserted-by":"crossref","unstructured":"Vapnik, V., Golowich, S.E., Smola, A.: Support Vector Method for Function Approximation, Regression Estimation and Signal Processing. MIT Press, Dever, CO (1997)","DOI":"10.1007\/978-1-4615-5703-6_3"},{"issue":"4","key":"428_CR27","doi-asserted-by":"crossref","first-page":"419","DOI":"10.1080\/03052150410001686486","volume":"36","author":"L Wang","year":"2004","unstructured":"Wang, L., Shan, S., Wang, G.G.: Mode-pursuing sampling method for global optimization on expensive black-box functions. Eng. Optim. 36(4), 419\u2013438 (2004)","journal-title":"Eng. Optim."},{"issue":"1","key":"428_CR28","doi-asserted-by":"publisher","first-page":"31","DOI":"10.1023\/A:1011818803494","volume":"2","author":"B Wilson","year":"2001","unstructured":"Wilson, B., Cappelleri, D., Simpson, T.W., Frecker, M.: Efficient Pareto frontier exploration using surrogate approximations. Optim. Eng. 2(1), 31\u201350 (2001). doi: 10.1023\/A:1011818803494","journal-title":"Optim. Eng."}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-016-0428-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10898-016-0428-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-016-0428-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-016-0428-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,15]],"date-time":"2024-06-15T21:09:24Z","timestamp":1718485764000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10898-016-0428-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,4,19]]},"references-count":28,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2017,1]]}},"alternative-id":["428"],"URL":"https:\/\/doi.org\/10.1007\/s10898-016-0428-2","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"value":"0925-5001","type":"print"},{"value":"1573-2916","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,4,19]]}}}