{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,16]],"date-time":"2026-06-16T17:22:39Z","timestamp":1781630559962,"version":"3.54.5"},"reference-count":69,"publisher":"Springer Science and Business Media LLC","issue":"9","license":[{"start":{"date-parts":[[2019,9,5]],"date-time":"2019-09-05T00:00:00Z","timestamp":1567641600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,9,5]],"date-time":"2019-09-05T00:00:00Z","timestamp":1567641600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51579201"],"award-info":[{"award-number":["51579201"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"High Technology Ship Foundation of Ministry of Industry and Information Technology of China","award":["2017-614"],"award-info":[{"award-number":["2017-614"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2020,5]]},"DOI":"10.1007\/s00500-019-04328-1","type":"journal-article","created":{"date-parts":[[2019,9,6]],"date-time":"2019-09-06T14:24:46Z","timestamp":1567779886000},"page":"6909-6956","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["A quantum-behaved particle swarm optimization algorithm with the flexible single-\/multi-population strategy and multi-stage perturbation strategy based on the characteristics of objective function"],"prefix":"10.1007","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5991-5083","authenticated-orcid":false,"given":"Yunhua","family":"Guo","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Nian-Zhong","family":"Chen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Junmin","family":"Mou","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ben","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2019,9,5]]},"reference":[{"key":"4328_CR1","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-019-03756-3","author":"A Abdelhalim","year":"2019","unstructured":"Abdelhalim A, Nakata K, El-Alem M, Eltawil A (2019) A hybrid evolutionary-simplex search method to solve nonlinear constrained optimization problems. Soft Comput. \nhttps:\/\/doi.org\/10.1007\/s00500-019-03756-3","journal-title":"Soft Comput"},{"issue":"3","key":"4328_CR2","doi-asserted-by":"crossref","first-page":"225","DOI":"10.1109\/TEVC.2004.826069","volume":"8","author":"FVD Bergh","year":"2004","unstructured":"Bergh FVD, Engelbrecht AP (2004) A cooperative approach to particle swarm optimization. IEEE Trans Evol Comput 8(3):225\u2013239","journal-title":"IEEE Trans Evol Comput"},{"issue":"8","key":"4328_CR3","doi-asserted-by":"crossref","first-page":"937","DOI":"10.1016\/j.ins.2005.02.003","volume":"176","author":"FVD Bergh","year":"2006","unstructured":"Bergh FVD, Engelbrecht AP (2006) A study of particle swarm optimization particle trajectories. Inf Sci 176(8):937\u2013971","journal-title":"Inf Sci"},{"issue":"3","key":"4328_CR4","doi-asserted-by":"crossref","first-page":"636","DOI":"10.1016\/j.ejor.2003.08.053","volume":"161","author":"R Chelouah","year":"2005","unstructured":"Chelouah R, Siarry P (2005) A hybrid method combining continuous tabu search and Nelder\u2013Mead simplex algorithms for the global optimization of multiminima functions. Eur J Oper Res 161(3):636\u2013654","journal-title":"Eur J Oper Res"},{"issue":"1","key":"4328_CR5","doi-asserted-by":"crossref","first-page":"58","DOI":"10.1109\/4235.985692","volume":"6","author":"M Clerc","year":"2002","unstructured":"Clerc M, Kennedy J (2002) The particle swarm\u2013explosion, stability, and convergence in a multidimensional complex space. IEEE Trans Evol Comput 6(1):58\u201373","journal-title":"IEEE Trans Evol Comput"},{"key":"4328_CR6","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1016\/j.asoc.2014.03.004","volume":"21","author":"E Davoodi","year":"2014","unstructured":"Davoodi E, Hagh MT, Zadeh SG (2014) A hybrid improved quantum-behaved particle swarm optimization-simplex method (IQPSOS) to solve power system load flow problems. Appl Soft Comput J 21:171\u2013179","journal-title":"Appl Soft Comput J"},{"issue":"10","key":"4328_CR7","doi-asserted-by":"crossref","first-page":"1707","DOI":"10.1007\/s00500-012-0855-z","volume":"16","author":"W Deng","year":"2012","unstructured":"Deng W, Chen R, He B, Liu YQ, Yin LF, Guo JH (2012) A novel two-stage hybrid swarm intelligence optimization algorithm and application. Soft Comput 16(10):1707\u20131722","journal-title":"Soft Comput"},{"issue":"3","key":"4328_CR8","doi-asserted-by":"crossref","first-page":"701","DOI":"10.1007\/s00500-014-1294-9","volume":"19","author":"W Deng","year":"2015","unstructured":"Deng W, Zhao HM, Liu JJ, Yan XL, Li YY, Yin LF, Ding CH (2015) An improved CACO algorithm based on adaptive method and multi-variant strategies. Soft Comput 19(3):701\u2013713","journal-title":"Soft Comput"},{"key":"4328_CR9","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-017-2940-9","author":"W Deng","year":"2017","unstructured":"Deng W, Yao R, Zhao HM, Yang XH, Li GY (2017a) A novel intelligent diagnosis method using optimal LS-SVM with improved PSO algorithm. Soft Comput. \nhttps:\/\/doi.org\/10.1007\/s00500-017-2940-9","journal-title":"Soft Comput"},{"key":"4328_CR10","doi-asserted-by":"crossref","first-page":"288","DOI":"10.1016\/j.asoc.2017.06.004","volume":"59","author":"W Deng","year":"2017","unstructured":"Deng W, Zhao HM, Yang XH, Xiong JX, Sun M, Li B (2017b) Study on an improved adaptive PSO algorithm for solving multi-objective gate assignment. Appl Soft Comput 59:288\u2013302","journal-title":"Appl Soft Comput"},{"issue":"15","key":"4328_CR11","doi-asserted-by":"crossref","first-page":"4387","DOI":"10.1007\/s00500-016-2071-8","volume":"21","author":"W Deng","year":"2017","unstructured":"Deng W, Zhao HM, Zou L, Li GY, Yang XH, Wu DQ (2017c) A novel collaborative optimization algorithm in solving complex optimization problems. Soft Comput 21(15):4387\u20134398","journal-title":"Soft Comput"},{"issue":"1","key":"4328_CR12","doi-asserted-by":"crossref","first-page":"35042","DOI":"10.1109\/ACCESS.2018.2834540","volume":"6","author":"W Deng","year":"2018","unstructured":"Deng W, Zhang SJ, Zhao HM, Yang XH (2018) A novel fault diagnosis method based on integrating empirical wavelet transform and fuzzy entropy for motor bearing. IEEE Access 6(1):35042\u201335056","journal-title":"IEEE Access"},{"key":"4328_CR13","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2019.2897580","author":"W Deng","year":"2019","unstructured":"Deng W, Xu JJ, Zhao HM (2019) An improved ant colony optimization algorithm based on hybrid strategies for scheduling problem. IEEE Access. \nhttps:\/\/doi.org\/10.1109\/ACCESS.2019.2897580","journal-title":"IEEE Access"},{"issue":"1","key":"4328_CR14","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1109\/4235.585892","volume":"1","author":"M Dorigo","year":"1997","unstructured":"Dorigo M, Gambardella LM (1997) Ant colony system: a cooperative learning approach to the traveling salesman problem. IEEE Trans Evol Comput 1(1):53\u201366","journal-title":"IEEE Trans Evol Comput"},{"issue":"15","key":"4328_CR15","doi-asserted-by":"crossref","first-page":"3096","DOI":"10.1016\/j.ins.2008.01.020","volume":"178","author":"WL Du","year":"2008","unstructured":"Du WL, Li B (2008) Multi-strategy ensemble particle swarm optimization for dynamic optimization. Inf Sci 178(15):3096\u20133109","journal-title":"Inf Sci"},{"key":"4328_CR16","volume-title":"Computational intelligence: imitating life","author":"LJ Fogel","year":"1994","unstructured":"Fogel LJ (1994) Evolutionary programming in perspective: the top\u2013down view. In: Zurada JM, Marks RJ II, Robinson CJ (eds) Computational intelligence: imitating life. IEEE Press, Piscataway"},{"issue":"3","key":"4328_CR17","first-page":"1","volume":"10","author":"YF Fu","year":"2014","unstructured":"Fu YF, Yang L (2014) Sensor mobility control for tracking multiple targets with mobile sensor networks. Int J Distrib Sens Netw 10(3):1\u201315","journal-title":"Int J Distrib Sens Netw"},{"issue":"8","key":"4328_CR18","doi-asserted-by":"crossref","first-page":"5129","DOI":"10.1016\/j.asoc.2011.05.046","volume":"11","author":"H Gao","year":"2011","unstructured":"Gao H, Xu WB (2011) Particle swarm algorithm with hybrid mutation strategy. Appl Soft Comput J 11(8):5129\u20135142","journal-title":"Appl Soft Comput J"},{"key":"4328_CR19","doi-asserted-by":"crossref","unstructured":"Grimaldi EA, Grimacia F, Mussetta M, Pirinoli P, Zich RE (2004) A new hybrid genetical\u2013swarm algorithm for electromagnetic optimization. In: Proceedings of international conference on computational electromagnetics and its Applications, IEEE Press, pp 157\u2013160","DOI":"10.1109\/MMET.2004.1397080"},{"issue":"7","key":"4328_CR20","doi-asserted-by":"crossref","first-page":"1646","DOI":"10.1109\/TNNLS.2016.2544779","volume":"28","author":"B Gu","year":"2017","unstructured":"Gu B, Sun XM, Sheng VS (2017) Structural minimax probability machine. IEEE Trans Neural Netw Learn Syst 28(7):1646\u20131656","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"issue":"5","key":"4328_CR21","doi-asserted-by":"crossref","first-page":"897","DOI":"10.1007\/s00500-010-0556-4","volume":"15","author":"YN Guo","year":"2011","unstructured":"Guo YN, Cheng J, Cao YY, Yong L (2011) A novel multi-population cultural algorithm adopting knowledge migration. Soft Comput 15(5):897\u2013905","journal-title":"Soft Comput"},{"key":"4328_CR22","volume-title":"Adaptation in natural and artificial systems: an introductory analysis with applications to biology, control, and artificial intelligence","author":"JH Holland","year":"1975","unstructured":"Holland JH (1975) Adaptation in natural and artificial systems: an introductory analysis with applications to biology, control, and artificial intelligence. MIT Press, Cambridge"},{"issue":"8","key":"4328_CR23","doi-asserted-by":"crossref","first-page":"3627","DOI":"10.1109\/TPEL.2012.2185713","volume":"27","author":"K Ishaque","year":"2012","unstructured":"Ishaque K, Salam Z, Amjad M, Mekhilef S (2012) An improved particle swarm optimization (PSO)\u2013based MPPT for PV with reduced steady-state oscillation. IEEE Trans Power Electron 27(8):3627\u20133638","journal-title":"IEEE Trans Power Electron"},{"key":"4328_CR24","first-page":"1942","volume":"4","author":"J Kennedy","year":"1995","unstructured":"Kennedy J, Eberhart R (1995) Particle swarm optimization. IEEE Int Conf Neural Netw 4:1942\u20131948","journal-title":"IEEE Int Conf Neural Netw"},{"key":"4328_CR25","volume-title":"Genetic programming: on the programming of computers by means of natural selection","author":"JR Koza","year":"1992","unstructured":"Koza JR (1992) Genetic programming: on the programming of computers by means of natural selection. MIT Press, Cambridge"},{"issue":"2","key":"4328_CR26","doi-asserted-by":"crossref","first-page":"593","DOI":"10.1080\/00207543.2016.1221162","volume":"55","author":"CKH Lee","year":"2017","unstructured":"Lee CKH (2017) A GA-based optimisation model for big data analytics supporting anticipatory shipping in Retail 4.0. Int J Prod Res 55(2):593\u2013605","journal-title":"Int J Prod Res"},{"issue":"11","key":"4328_CR27","doi-asserted-by":"crossref","first-page":"1039","DOI":"10.1007\/s00500-007-0272-x","volume":"12","author":"ST Li","year":"2008","unstructured":"Li ST, Wu XX, Tan MK (2008) Gene selection using hybrid particle swarm optimization and genetic algorithm. Soft Comput 12(11):1039\u20131048","journal-title":"Soft Comput"},{"issue":"6","key":"4328_CR28","doi-asserted-by":"crossref","first-page":"1061","DOI":"10.1007\/s00500-012-0803-y","volume":"16","author":"YY Li","year":"2012","unstructured":"Li YY, Xiang RR, Jiao LC, Liu RC (2012) An improved cooperative quantum-behaved particle swarm optimization. Soft Comput 16(6):1061\u20131069","journal-title":"Soft Comput"},{"issue":"9","key":"4328_CR29","doi-asserted-by":"crossref","first-page":"597","DOI":"10.1049\/el.2017.4357","volume":"54","author":"X Li","year":"2018","unstructured":"Li X, Guo F, Yang L, Zhang M (2018) Improved solution for geolocating a known altitude source using TDOA and FDOA under random sensor location errors. Electron Lett 54(9):597\u2013599","journal-title":"Electron Lett"},{"key":"4328_CR30","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1016\/j.chemolab.2014.01.003","volume":"132","author":"F Liu","year":"2014","unstructured":"Liu F, Zhou Z (2014) An improved QPSO algorithm and its application in the high-dimensional complex problems. Chemom Intell Lab Syst 132:82\u201390","journal-title":"Chemom Intell Lab Syst"},{"issue":"1","key":"4328_CR31","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1109\/TSMCB.2006.883272","volume":"37","author":"B Liu","year":"2007","unstructured":"Liu B, Wang L, Jin YH (2007) An effective PSO-based memetic algorithm for flow shop scheduling. IEEE Trans Syst Man Cybern Part B Cybern 37(1):18\u201327","journal-title":"IEEE Trans Syst Man Cybern Part B Cybern"},{"issue":"3","key":"4328_CR32","doi-asserted-by":"crossref","first-page":"432","DOI":"10.1016\/j.cor.2009.03.004","volume":"37","author":"Y Marinakis","year":"2010","unstructured":"Marinakis Y, Marinaki M (2010) A hybrid multi-swarm particle swarm optimization algorithm for the probabilistic traveling salesman problem. Comput Oper Res 37(3):432\u2013442","journal-title":"Comput Oper Res"},{"issue":"2","key":"4328_CR33","first-page":"1050","volume":"185","author":"B Niu","year":"2007","unstructured":"Niu B, Zhu YL, He XX, Wu H (2007) MCPSO: a multi-swarm cooperative particle swarm optimizer. Appl Math Comput 185(2):1050\u20131062","journal-title":"Appl Math Comput"},{"key":"4328_CR34","volume-title":"Computational intelligence: imitating life","author":"I Rechenberg","year":"1994","unstructured":"Rechenberg I (1994) Evolution strategy. In: Zurada JM, Marks RJ II, Robinson CJ (eds) Computational intelligence: imitating life. IEEE Press, Piscataway"},{"issue":"2","key":"4328_CR35","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1109\/TAP.2004.823969","volume":"52","author":"J Robinson","year":"2004","unstructured":"Robinson J, RahmatSamii Y (2004) Particle swarm optimization in electromagnetics. IEEE Trans Antennas Propag 52(2):397\u2013407","journal-title":"IEEE Trans Antennas Propag"},{"issue":"4","key":"4328_CR36","doi-asserted-by":"crossref","first-page":"608","DOI":"10.1016\/j.asoc.2012.12.014","volume":"13","author":"S Sayah","year":"2013","unstructured":"Sayah S, Hamouda A (2013) A hybrid differential evolution algorithm based on particle swarm optimization for nonconvex economic dispatch problems. Appl Soft Comput J 13(4):608\u20131619","journal-title":"Appl Soft Comput J"},{"key":"4328_CR37","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1023\/A:1008202821328","volume":"11","author":"R Storn","year":"1997","unstructured":"Storn R, Price K (1997) Differential evolution\u2014a simple and efficient heuristic for global optimization over continuous spaces. J Glob Optim 11:341\u2013359","journal-title":"J Glob Optim"},{"key":"4328_CR38","unstructured":"Sun J, Xu WB, Feng B (2004) A global search strategy of quantum behaved particle swarm optimization. In: Cybernetics and intelligent systems proceedings of the 2004 IEEE conference, pp 111\u2013116"},{"issue":"7","key":"4328_CR39","first-page":"3763","volume":"218","author":"J Sun","year":"2011","unstructured":"Sun J, Fang W, Palade V, Wu XJ, Xu WB (2011) Quantum-behaved particle swarm optimization with Gaussian distributed local attractor point. Appl Math Comput 218(7):3763\u20133775","journal-title":"Appl Math Comput"},{"issue":"2","key":"4328_CR40","doi-asserted-by":"crossref","first-page":"376","DOI":"10.1016\/j.engappai.2011.09.017","volume":"25","author":"J Sun","year":"2012","unstructured":"Sun J, Chen W, Fang W, Wu XJ, Xu WB (2012a) Gene expression data analysis with the clustering method based on an improved quantum-behaved particle swarm optimization. Eng Appl Artif Intell 25(2):376\u2013391","journal-title":"Eng Appl Artif Intell"},{"issue":"3","key":"4328_CR41","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1162\/EVCO_a_00049","volume":"20","author":"J Sun","year":"2012","unstructured":"Sun J, Fang W, Wu XJ, Palade V, Xu WB (2012b) Quantum-behaved particle swarm optimization: analysis of individual particle behavior and parameter selection. Evol Comput 20(3):349\u2013393","journal-title":"Evol Comput"},{"key":"4328_CR42","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1016\/j.ins.2012.01.005","volume":"193","author":"J Sun","year":"2012","unstructured":"Sun J, Wu XJ, Palade V, Fang W, Lai CH (2012c) Convergence analysis and improvements of quantum-behaved particle swarm optimization. Inf Sci 193:81\u2013103","journal-title":"Inf Sci"},{"issue":"5","key":"4328_CR43","doi-asserted-by":"crossref","first-page":"527","DOI":"10.1109\/TEVC.2005.860762","volume":"10","author":"KC Tan","year":"2006","unstructured":"Tan KC, Yang YJ, Goh CK (2006) A distributed Cooperative coevolutionary algorithm for multiobjective optimization. IEEE Trans Evol Comput 10(5):527\u2013549","journal-title":"IEEE Trans Evol Comput"},{"issue":"5","key":"4328_CR44","doi-asserted-by":"crossref","first-page":"1255","DOI":"10.1007\/s00500-014-1338-1","volume":"19","author":"L Tan","year":"2015","unstructured":"Tan L, Sun JF, Tong XK (2015) A hybrid particle swarm optimization based memetic algorithm for DNA sequence compression. Soft Comput 19(5):1255\u20131268","journal-title":"Soft Comput"},{"key":"4328_CR45","doi-asserted-by":"crossref","first-page":"162","DOI":"10.1016\/j.ins.2014.08.030","volume":"289","author":"DY Tang","year":"2014","unstructured":"Tang DY, Cai YM, Zhao J, Xue Y (2014) A quantum-behaved particle swarm optimization with memetic algorithm and memory for continuous non-linear large scale problems. Inf Sci 289:162\u2013189","journal-title":"Inf Sci"},{"key":"4328_CR46","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1016\/j.engappai.2014.08.002","volume":"37","author":"KZ Tang","year":"2015","unstructured":"Tang KZ, Li ZY, Luo LM, Liu BX (2015) Multi-strategy adaptive particle swarm optimization for numerical optimization. Eng Appl Artif Intell 37:9\u201319","journal-title":"Eng Appl Artif Intell"},{"issue":"16","key":"4328_CR47","doi-asserted-by":"crossref","first-page":"4735","DOI":"10.1007\/s00500-016-2081-6","volume":"21","author":"RL Tang","year":"2017","unstructured":"Tang RL, Wu Z, Fang YJ (2017) Adaptive multi-context cooperatively coevolving particle swarm optimization for large-scale problems. Soft Comput 21(16):4735\u20134754","journal-title":"Soft Comput"},{"key":"4328_CR48","doi-asserted-by":"crossref","first-page":"286","DOI":"10.1016\/j.neucom.2017.01.064","volume":"238","author":"Q Tian","year":"2017","unstructured":"Tian Q, Chen SC (2017) Cross-heterogeneous-database age estimation through correlation representation learning. Neurocomputing 238:286\u2013295","journal-title":"Neurocomputing"},{"key":"4328_CR49","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-018-3570-6","author":"S Torabi","year":"2018","unstructured":"Torabi S, Safi-Esfahani F (2018) A hybrid algorithm based on chicken swarm and improved raven roosting optimization. Soft Comput. \nhttps:\/\/doi.org\/10.1007\/s00500-018-3570-6","journal-title":"Soft Comput"},{"issue":"4","key":"4328_CR50","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1109\/TEVC.2004.826895","volume":"8","author":"JT Tsai","year":"2004","unstructured":"Tsai JT, Liu TK, Chou JH (2004) Hybrid Taguchi-genetic algorithm for global numerical optimization. IEEE Trans Evol Comput 8(4):365\u2013377","journal-title":"IEEE Trans Evol Comput"},{"issue":"8","key":"4328_CR51","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1016\/j.asoc.2018.11.047","volume":"76","author":"Q Tu","year":"2019","unstructured":"Tu Q, Chen XC, Liu XC (2019) Multi-strategy ensemble grey wolf optimizer and its application to feature selection. Appl Soft Comput J 76(8):16\u201330","journal-title":"Appl Soft Comput J"},{"issue":"1","key":"4328_CR52","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1016\/j.epsr.2003.12.017","volume":"71","author":"TAA Victoire","year":"2004","unstructured":"Victoire TAA, Jeyakumar AE (2004) Hybrid PSO\u2013SQP for economic dispatch with valve-point effect. Electr Power Syst Res 71(1):51\u201359","journal-title":"Electr Power Syst Res"},{"issue":"1","key":"4328_CR53","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/s12293-009-0012-0","volume":"2","author":"Y Wang","year":"2010","unstructured":"Wang Y, Li B (2010) Multi-strategy ensemble evolutionary algorithm for dynamic multi-objective optimization. Memet Comput 2(1):3\u201324","journal-title":"Memet Comput"},{"key":"4328_CR54","doi-asserted-by":"crossref","first-page":"587","DOI":"10.1016\/j.ins.2014.04.013","volume":"279","author":"H Wang","year":"2014","unstructured":"Wang H, Wu ZJ, Rahnamayan S, Sun H, Liu Y, Pan JS (2014) Multi-strategy ensemble artificial bee colony algorithm. Inf Sci 279:587\u2013603","journal-title":"Inf Sci"},{"issue":"12","key":"4328_CR55","doi-asserted-by":"crossref","first-page":"4933","DOI":"10.1007\/s00500-015-1784-4","volume":"20","author":"C Wang","year":"2016","unstructured":"Wang C, Liu YC, Chen Y, Wei Y (2016a) Self-adapting hybrid strategy particle swarm optimization algorithm. Soft Comput 20(12):4933\u20134963","journal-title":"Soft Comput"},{"issue":"12","key":"4328_CR56","doi-asserted-by":"crossref","first-page":"2848","DOI":"10.1109\/TCYB.2015.2490669","volume":"46","author":"JH Wang","year":"2016","unstructured":"Wang JH, Zhang WW, Zhang J (2016b) Cooperative differential evolution with multiple populations for multiobjective optimization. IEEE Trans Cybern 46(12):2848\u20132861","journal-title":"IEEE Trans Cybern"},{"issue":"3","key":"4328_CR57","first-page":"526","volume":"30","author":"T Wu","year":"2015","unstructured":"Wu T, Yan YS, Chen X (2015a) Improved dual-group interaction QPSO algorithm based on random evaluation. Control Decis 30(3):526\u2013530 (in Chinese)","journal-title":"Control Decis"},{"issue":"3","key":"4328_CR58","first-page":"1","volume":"36","author":"T Wu","year":"2015","unstructured":"Wu T, Chen X, Yan YS (2015b) Study of the ternary correlation quantum-behaved PSO algorithm. J Commun 36(3):1\u20136 (in Chinese)","journal-title":"J Commun"},{"issue":"2","key":"4328_CR59","first-page":"751","volume":"205","author":"ML Xi","year":"2008","unstructured":"Xi ML, Sun J, Xu WB (2008) An improved quantum-behaved particle swarm optimization algorithm with weighted mean best position. Appl Math Comput 205(2):751\u2013759","journal-title":"Appl Math Comput"},{"issue":"19","key":"4328_CR60","doi-asserted-by":"crossref","first-page":"3657","DOI":"10.1007\/s00500-015-1724-3","volume":"20","author":"JK Xiao","year":"2016","unstructured":"Xiao JK, Li WM, Liu B, Ni P (2016) A novel multi-population coevolution immune optimization algorithm. Soft Comput 20(19):3657\u20133671","journal-title":"Soft Comput"},{"issue":"8","key":"4328_CR61","doi-asserted-by":"crossref","first-page":"1370","DOI":"10.1016\/j.engappai.2008.01.003","volume":"21","author":"LN Xing","year":"2008","unstructured":"Xing LN, Chen YW, Yang KW, Hou F, Shen XS, Cai HP (2008) A hybrid approach combining an improved genetic algorithm and optimization strategies for the asymmetric traveling salesman problem. Eng Appl Artif Intell 21(8):1370\u20131380","journal-title":"Eng Appl Artif Intell"},{"key":"4328_CR62","doi-asserted-by":"crossref","first-page":"1191","DOI":"10.1007\/s11045-017-0497-5","volume":"29","author":"LZ Xiong","year":"2018","unstructured":"Xiong LZ, Xu ZQ, Shi YQ (2018) An integer wavelet transform based scheme for reversible data hiding in encrypted images. Multidimens Syst Signal Process 29:1191\u20131202","journal-title":"Multidimens Syst Signal Process"},{"issue":"4","key":"4328_CR63","doi-asserted-by":"crossref","first-page":"493","DOI":"10.1109\/TEVC.2016.2627581","volume":"21","author":"M Yang","year":"2017","unstructured":"Yang M, Mohammad NO, Li CH, Li XD, Cai ZH, Borhan K, Yao X (2017) Efficient resource allocation in cooperative co-evolution for large-scale global optimization. IEEE Trans Evol Comput 21(4):493\u2013505","journal-title":"IEEE Trans Evol Comput"},{"issue":"4","key":"4328_CR64","doi-asserted-by":"crossref","first-page":"537","DOI":"10.1007\/s00158-013-0996-4","volume":"49","author":"GR Zavala","year":"2014","unstructured":"Zavala GR, Nebro AJ, Luna F, Coello CAC (2014) A survey of multi-objective metaheuristics applied to structural optimization. Struct Multidiscip Optim 49(4):537\u2013558","journal-title":"Struct Multidiscip Optim"},{"issue":"6","key":"4328_CR65","doi-asserted-by":"crossref","first-page":"832","DOI":"10.1109\/TEVC.2010.2052054","volume":"15","author":"ZH Zhang","year":"2011","unstructured":"Zhang ZH, Zhang J, Li Y, Shi YH (2011) Orthogonal learning particle swarm optimization. IEEE Trans Evol Comput 15(6):832\u2013847","journal-title":"IEEE Trans Evol Comput"},{"issue":"9","key":"4328_CR66","first-page":"1341","volume":"28","author":"GY Zhang","year":"2013","unstructured":"Zhang GY, Wu YG, Gu W (2013) Quantum-behaved particle swarm optimization algorithm based on elitist learning. Control Decis 28(9):1341\u20131348 (in Chinese)","journal-title":"Control Decis"},{"issue":"1","key":"4328_CR67","doi-asserted-by":"crossref","first-page":"14","DOI":"10.3390\/e19010014","volume":"19","author":"HM Zhao","year":"2017","unstructured":"Zhao HM, Sun M, Deng W, Yang XH (2017) A new feature extraction method based on EEMD and multi-scale fuzzy entropy for motor bearing. Entropy 19(1):14","journal-title":"Entropy"},{"issue":"9","key":"4328_CR68","doi-asserted-by":"crossref","first-page":"682","DOI":"10.3390\/e20090682","volume":"20","author":"HM Zhao","year":"2018","unstructured":"Zhao HM, Yao R, Xu L, Yuan Y, Li GY, Deng W (2018) Study on a novel fault damage degree identification method using high-order differential mathematical morphology gradient spectrum entropy. Entropy 20(9):682","journal-title":"Entropy"},{"issue":"4","key":"4328_CR69","first-page":"582","volume":"26","author":"D Zhou","year":"2011","unstructured":"Zhou D, Sun J, Xu WB (2011) Quantum-behaved particle swarm optimization algorithm with cooperative approach. Control Decis 26(4):582\u2013586 (In Chinese)","journal-title":"Control Decis"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-019-04328-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00500-019-04328-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-019-04328-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,3]],"date-time":"2020-09-03T23:24:06Z","timestamp":1599175446000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00500-019-04328-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,9,5]]},"references-count":69,"journal-issue":{"issue":"9","published-print":{"date-parts":[[2020,5]]}},"alternative-id":["4328"],"URL":"https:\/\/doi.org\/10.1007\/s00500-019-04328-1","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,9,5]]},"assertion":[{"value":"5 September 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Compliance with ethical standards"}},{"value":"The authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"This article does not contain any studies with human participants or animals performed by any of the authors.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethical approval"}}]}}