{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,18]],"date-time":"2026-01-18T03:54:18Z","timestamp":1768708458589,"version":"3.49.0"},"reference-count":85,"publisher":"Springer Science and Business Media LLC","issue":"20","license":[{"start":{"date-parts":[[2018,10,29]],"date-time":"2018-10-29T00:00:00Z","timestamp":1540771200000},"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":["61806058"],"award-info":[{"award-number":["61806058"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"National Nature Science Foundation of China","doi-asserted-by":"crossref","award":["51775122"],"award-info":[{"award-number":["51775122"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Guangzhou university talent launch program","award":["2700050326"],"award-info":[{"award-number":["2700050326"]}]},{"name":"Guangzhou Science and Technology Plan Project","award":["201804010299"],"award-info":[{"award-number":["201804010299"]}]},{"name":"2017 undergraduate innovation training program of Guangzhou University","award":["CX2017070"],"award-info":[{"award-number":["CX2017070"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2019,10]]},"DOI":"10.1007\/s00500-018-3579-x","type":"journal-article","created":{"date-parts":[[2018,10,29]],"date-time":"2018-10-29T10:13:46Z","timestamp":1540808026000},"page":"10225-10260","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":19,"title":["Improved harmony search with general iteration models for engineering design optimization problems"],"prefix":"10.1007","volume":"23","author":[{"given":"Haibin","family":"Ouyang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wenqiang","family":"Wu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chunliang","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Steven","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dexuan","family":"Zou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guiyun","family":"Liu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,10,29]]},"reference":[{"key":"3579_CR1","unstructured":"Aguirre H, Zavala AM, Diharce EV et al (2007) COPSO: constrained optimization via PSO algorithm. Technical report No. I-07-04\/22-02-2007, Center for Research in Mathematics (CIMAT), 2007"},{"issue":"4","key":"3579_CR2","doi-asserted-by":"publisher","first-page":"1001","DOI":"10.1007\/s10845-010-0393-4","volume":"23","author":"B Akay","year":"2012","unstructured":"Akay B, Karaboga D (2012) Artificial bee colony algorithm for large-scale problems and engineering design optimization. J Intell Manuf 23(4):1001\u20131014","journal-title":"J Intell Manuf"},{"key":"3579_CR3","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1080\/03052150212723","volume":"34","author":"S Akhtar","year":"2002","unstructured":"Akhtar S, Tai K, Ray T (2002) A socio-behavioral simulation model of engineering design optimization. Eng Optim 34:341\u2013354","journal-title":"Eng Optim"},{"key":"3579_CR4","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1016\/j.compstruc.2014.10.003","volume":"147","author":"A Akin","year":"2015","unstructured":"Akin A, Saka MP (2015) Harmony search algorithm based optimum detailed design of reinforced concrete plane frames subject to ACI 318-05 provisions. Comput Struct 147:79\u201395","journal-title":"Comput Struct"},{"issue":"9","key":"3579_CR5","doi-asserted-by":"crossref","first-page":"2687","DOI":"10.1016\/j.amc.2010.03.114","volume":"216","author":"B Alatas","year":"2010","unstructured":"Alatas B (2010) Chaotic harmony search algorithms. Appl Math Comput 216(9):2687\u20132699","journal-title":"Appl Math Comput"},{"key":"3579_CR6","doi-asserted-by":"publisher","first-page":"304","DOI":"10.1016\/j.asoc.2015.04.019","volume":"33","author":"MZ Ali","year":"2015","unstructured":"Ali MZ, Awad NH, Suganthan PN (2015) Multi-population differential evolution with balanced ensemble of mutation strategies for large-scale global optimization. Appl Soft Comput 33:304\u2013327","journal-title":"Appl Soft Comput"},{"key":"3579_CR7","doi-asserted-by":"publisher","first-page":"1055","DOI":"10.1016\/j.asoc.2011.11.018","volume":"12","author":"A Baykaso\u011flu","year":"2012","unstructured":"Baykaso\u011flu A (2012) Design optimization with chaos embedded great deluge algorithm. Appl Soft Comput 12:1055\u20131567","journal-title":"Appl Soft Comput"},{"key":"3579_CR8","doi-asserted-by":"publisher","first-page":"152","DOI":"10.1016\/j.asoc.2015.06.056","volume":"36","author":"A Baykaso\u011flu","year":"2015","unstructured":"Baykaso\u011flu A, Ozsoydan FB (2015) Adaptive firefly algorithm with chaos for mechanical design optimization problems. Appl Soft Comput 36:152\u2013164","journal-title":"Appl Soft Comput"},{"issue":"9","key":"3579_CR9","doi-asserted-by":"publisher","first-page":"1583","DOI":"10.1002\/nme.1620210904","volume":"21","author":"AD Belegundu","year":"1985","unstructured":"Belegundu AD, Arora JS (1985) A study of mathematical programming methods for structural optimization. Part I: theory. Int J Numer Methods Eng 21(9):1583\u20131599","journal-title":"Int J Numer Methods Eng"},{"key":"3579_CR10","doi-asserted-by":"publisher","first-page":"729","DOI":"10.1007\/s10845-011-0621-6","volume":"24","author":"I Brajevic","year":"2013","unstructured":"Brajevic I, Tuba M (2013) An upgraded artificial bee colony (ABC) algorithm for constrained optimization problems. J Intell Manuf 24:729\u2013740","journal-title":"J Intell Manuf"},{"issue":"3","key":"3579_CR11","first-page":"319","volume":"32","author":"L Cagnina","year":"2008","unstructured":"Cagnina L, Esquivel S, Coello CC (2008) Solving engineering optimization problems with the simple constrained particle swarm optimizer. Informatica 32(3):319\u2013326","journal-title":"Informatica"},{"key":"3579_CR12","doi-asserted-by":"crossref","first-page":"2558","DOI":"10.1016\/j.amc.2011.07.073","volume":"218","author":"C Cobos","year":"2011","unstructured":"Cobos C, Estupi\u00f1\u00e1n D, P\u00e9rez J (2011) GHS\u2009+\u2009LEM: global-best harmony search using learnable evolution models. Appl Math Comput 218:2558\u20132578","journal-title":"Appl Math Comput"},{"issue":"4","key":"3579_CR13","doi-asserted-by":"publisher","first-page":"830","DOI":"10.1016\/j.ress.2008.09.001","volume":"94","author":"LS Coeiho","year":"2009","unstructured":"Coeiho LS (2009) An efficient particle swarm approach for mixed-integer programming in reliability\u2013redundancy optimization applications. Reliab Eng Syst Saf 94(4):830\u2013837","journal-title":"Reliab Eng Syst Saf"},{"key":"3579_CR14","unstructured":"Coello CAC (1999) Self-adaptive penalties for GA-based optimization. In: Proceedings of the 1999 Congress on evolutionary computation, 1999. CEC 99, vol 1. IEEE"},{"issue":"3","key":"3579_CR15","doi-asserted-by":"publisher","first-page":"193","DOI":"10.1016\/S1474-0346(02)00011-3","volume":"16","author":"CAC Coello","year":"2002","unstructured":"Coello CAC, Montes EM (2002) Constraint-handling in genetic algorithms through the use of dominance-based tournament selection. Adv Eng Inf 16(3):193\u2013203","journal-title":"Adv Eng Inf"},{"key":"3579_CR16","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1109\/TSMCB.2010.2046035","volume":"41","author":"S Das","year":"2011","unstructured":"Das S, Mukhopadhyay A, Roy A et al (2011) Exploratory power of the harmony search algorithm: analysis and improvements for global numerical optimization. IEEE Trans Syst Man Cybern Part B Cybern 41:89\u2013106","journal-title":"IEEE Trans Syst Man Cybern Part B Cybern"},{"issue":"9","key":"3579_CR17","doi-asserted-by":"publisher","first-page":"3370","DOI":"10.1016\/j.eswa.2012.12.045","volume":"40","author":"VCV Melo De","year":"2013","unstructured":"De Melo VCV, Carosio GLC (2013) Investigating multi-view differential evolution for solving constrained engineering design problems. Expert Syst Appl 40(9):3370\u20133377","journal-title":"Expert Syst Appl"},{"key":"3579_CR18","unstructured":"Eberhart RC, Kennedy J (1995) Particle swarm optimization. In: Proceeding of IEEE international conference on neural network. Perth, Australia, pp 1942\u20131948"},{"key":"3579_CR19","doi-asserted-by":"publisher","first-page":"3481","DOI":"10.1016\/j.cnsns.2013.04.028","volume":"18","author":"R Enayatifar","year":"2013","unstructured":"Enayatifar R, Yousefi M, Abdullah AH et al (2013) LAHS: a novel harmony search algorithm based on learning automata. Commun Nonlinear Sci Numer Simul 18:3481\u20133497","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"3579_CR20","doi-asserted-by":"publisher","first-page":"3080","DOI":"10.1016\/j.cma.2008.02.006","volume":"197","author":"M Fesanghary","year":"2008","unstructured":"Fesanghary M, Mahdavi M, Minary-Jolandan M et al (2008) Hybridizing harmony search algorithm with sequential quadratic programming for engineering optimization problems. Comput Methods Appl Mech Eng 197:3080\u20133091","journal-title":"Comput Methods Appl Mech Eng"},{"key":"3579_CR21","doi-asserted-by":"publisher","first-page":"2325","DOI":"10.1016\/j.compstruc.2011.08.002","volume":"89","author":"AH Gandomi","year":"2011","unstructured":"Gandomi AH, Yang X-S, Alavi AH (2011) Mixed variable structural optimization using firefly algorithm. Comput Struct 89:2325\u20132336","journal-title":"Comput Struct"},{"issue":"6","key":"3579_CR22","doi-asserted-by":"publisher","first-page":"1239","DOI":"10.1007\/s00521-012-1028-9","volume":"22","author":"AH Gandomi","year":"2013","unstructured":"Gandomi AH, Yang X-S, Alavi AH et al (2013) Bat algorithm for constrained optimization tasks. Neural Comput Appl 22(6):1239\u20131255","journal-title":"Neural Comput Appl"},{"key":"3579_CR23","doi-asserted-by":"publisher","first-page":"871","DOI":"10.1016\/j.ipl.2011.06.002","volume":"111","author":"WF Gao","year":"2011","unstructured":"Gao WF, Liu SY (2011) Improved artificial bee colony algorithm for global optimization. Inf Process Lett 111:871\u2013882","journal-title":"Inf Process Lett"},{"issue":"2","key":"3579_CR24","doi-asserted-by":"publisher","first-page":"60","DOI":"10.1177\/003754970107600201","volume":"76","author":"ZW Geem","year":"2001","unstructured":"Geem ZW, Kim JH, Loganathan GV (2001) A new heuristic optimization algorithm: harmony search. Simulation 76(2):60\u201368","journal-title":"Simulation"},{"issue":"9","key":"3579_CR25","doi-asserted-by":"publisher","first-page":"1008","DOI":"10.1016\/j.ress.2005.11.053","volume":"91","author":"M Gen","year":"2006","unstructured":"Gen M, Yun Y (2006) Soft computing approach for reliability optimization: state-of-the-art survey. Reliab Eng Syst Saf 91(9):1008\u20131026","journal-title":"Reliab Eng Syst Saf"},{"key":"3579_CR26","doi-asserted-by":"crossref","unstructured":"Gen M, Ida K, Kobuchi R et al (1998) Hybridized neural network and genetic algorithms for solving nonlinear integer programming. In: lain LC, 1ain RK (eds) 1998 Second international conference on knowledge-based intelligent electronic systems, 21\u201323 April 1998, Adelaide, Aushalia, pp 272\u2013277","DOI":"10.1109\/KES.1998.725922"},{"issue":"8","key":"3579_CR27","doi-asserted-by":"publisher","first-page":"2129","DOI":"10.1007\/s00500-015-1912-1","volume":"21","author":"Z Guo","year":"2017","unstructured":"Guo Z, Wang S, Yue X et al (2017) Global harmony search with generalized opposition-based learning. Soft Comput 21(8):2129\u20132137","journal-title":"Soft Comput"},{"issue":"4","key":"3579_CR28","doi-asserted-by":"publisher","first-page":"1335","DOI":"10.1007\/s00500-016-2424-3","volume":"22","author":"Z Guo","year":"2018","unstructured":"Guo Z, Yang H, Wang S et al (2018) Adaptive harmony search with best-based search strategy. Soft Comput 22(4):1335\u20131349","journal-title":"Soft Comput"},{"issue":"1","key":"3579_CR29","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1016\/j.engappai.2006.03.003","volume":"20","author":"Q He","year":"2007","unstructured":"He Q, Wang L (2007a) An effective co-evolutionary particle swarm optimization for constrained engineering design problems. Eng Appl Artif Intell 20(1):89\u201399","journal-title":"Eng Appl Artif Intell"},{"key":"3579_CR30","first-page":"1407","volume":"186","author":"Q He","year":"2007","unstructured":"He Q, Wang L (2007b) A hybrid particle swarm optimization with a feasibility-based rule for constrained optimization. Appl Math Comput 186:1407\u20131422","journal-title":"Appl Math Comput"},{"key":"3579_CR31","volume-title":"Adaptation in natural and artificial systems","author":"JH Holland","year":"1975","unstructured":"Holland JH (1975) Adaptation in natural and artificial systems. University of Michigan Press, Ann Arbor"},{"issue":"10","key":"3579_CR32","doi-asserted-by":"publisher","first-page":"1599","DOI":"10.1016\/S0026-2714(98)00028-6","volume":"38","author":"YC Hsieh","year":"1998","unstructured":"Hsieh YC, Chen TC et al (1998) Genetic algorithms for reliability design problems. Microelectron Reliab 38(10):1599\u20131605","journal-title":"Microelectron Reliab"},{"issue":"1","key":"3579_CR33","first-page":"340","volume":"186","author":"F Huang","year":"2007","unstructured":"Huang F, Wang L, He Q (2007) An effective co-evolutionary differential evolution for constrained optimization. Appl Math Comput 186(1):340\u2013356","journal-title":"Appl Math Comput"},{"key":"3579_CR34","doi-asserted-by":"publisher","first-page":"209","DOI":"10.1016\/j.asoc.2016.12.011","volume":"51","author":"NS Jaddi","year":"2017","unstructured":"Jaddi NS, Abdullah S (2017) A cooperative-competitive master-slave global-best harmony search for ANN optimization and water-quality prediction. Appl Soft Comput 51:209\u2013224","journal-title":"Appl Soft Comput"},{"issue":"4","key":"3579_CR35","doi-asserted-by":"publisher","first-page":"1115","DOI":"10.1016\/j.cie.2013.08.003","volume":"66","author":"G Kanagaraj","year":"2013","unstructured":"Kanagaraj G, Ponnambalam SG, Jawahar N (2013) A hybrid cuckoo search and genetic algorithm for reliability\u2013redundancy allocation problems. Comput Ind Eng 66(4):1115\u20131124","journal-title":"Comput Ind Eng"},{"issue":"3","key":"3579_CR36","doi-asserted-by":"publisher","first-page":"459","DOI":"10.1007\/s10898-007-9149-x","volume":"39","author":"D Karaboga","year":"2007","unstructured":"Karaboga D, Basturk B (2007) A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm. J Glob Optim 39(3):459\u2013471","journal-title":"J Glob Optim"},{"issue":"24","key":"3579_CR37","doi-asserted-by":"publisher","first-page":"7337","DOI":"10.1007\/s00500-016-2274-z","volume":"21","author":"B Keshtegar","year":"2017","unstructured":"Keshtegar B, Sadeq MO (2017) Gaussian global-best harmony search algorithm for optimization problems. Soft Comput 21(24):7337\u20137349","journal-title":"Soft Comput"},{"key":"3579_CR38","first-page":"195","volume":"228","author":"M Khalili","year":"2014","unstructured":"Khalili M, Kharrat R, Salahshoor K et al (2014) Global dynamic harmony search algorithm: GDHS. Appl Math Comput 228:195\u2013219","journal-title":"Appl Math Comput"},{"key":"3579_CR39","doi-asserted-by":"publisher","first-page":"7","DOI":"10.1016\/j.cor.2015.04.018","volume":"63","author":"X Kong","year":"2015","unstructured":"Kong X, Gao L, Ouyang H et al (2015) Solving large-scale multidimensional knapsack problems with a new binary harmony search algorithm. Comput Oper Res 63:7\u201322","journal-title":"Comput Oper Res"},{"key":"3579_CR40","doi-asserted-by":"publisher","first-page":"748","DOI":"10.1057\/jors.2012.79","volume":"64","author":"S Kulluk","year":"2013","unstructured":"Kulluk S (2013) A novel hybrid algorithm combining hunting search with harmony search algorithm for training neural networks. J Oper Res Soc 64:748\u2013761","journal-title":"J Oper Res Soc"},{"key":"3579_CR41","doi-asserted-by":"publisher","first-page":"14","DOI":"10.1016\/j.cam.2013.04.004","volume":"253","author":"A Layeb","year":"2013","unstructured":"Layeb A (2013) A hybrid quantum inspired harmony search algorithm for 0\u20131 optimization problems. J Comput Appl Math 253:14\u201325","journal-title":"J Comput Appl Math"},{"issue":"36\u201338","key":"3579_CR42","doi-asserted-by":"publisher","first-page":"3902","DOI":"10.1016\/j.cma.2004.09.007","volume":"194","author":"KS Lee","year":"2005","unstructured":"Lee KS, Geem ZW (2005) A new meta-heuristic algorithm for continuous engineering optimization: harmony search theory and practice. Comput Methods Appl Mech Eng 194(36\u201338):3902\u20133933","journal-title":"Comput Methods Appl Mech Eng"},{"issue":"3","key":"3579_CR43","doi-asserted-by":"publisher","first-page":"1409","DOI":"10.1016\/j.eswa.2014.09.007","volume":"42","author":"Y Li","year":"2015","unstructured":"Li Y, Li X, Gupta JND (2015) Solving the multi-objective flowline manufacturing cell scheduling problem by hybrid harmony search. Expert Syst Appl 42(3):1409\u20131417","journal-title":"Expert Syst Appl"},{"issue":"9\u201312","key":"3579_CR44","doi-asserted-by":"publisher","first-page":"3399","DOI":"10.1007\/s00170-017-0352-8","volume":"92","author":"X Li","year":"2017","unstructured":"Li X, Qin K, Zeng B et al (2017) A dynamic parameter controlled harmony search algorithm for assembly sequence planning. Int J Adv Manuf Technol 92(9\u201312):3399\u20133411","journal-title":"Int J Adv Manuf Technol"},{"issue":"4","key":"3579_CR45","doi-asserted-by":"publisher","first-page":"1188","DOI":"10.1016\/j.asoc.2010.05.007","volume":"10","author":"TW Liao","year":"2010","unstructured":"Liao TW (2010) Two hybrid differential evolution algorithms for engineering design optimization. Appl Soft Comput 10(4):1188\u20131199","journal-title":"Appl Soft Comput"},{"issue":"1","key":"3579_CR46","doi-asserted-by":"publisher","first-page":"14","DOI":"10.1109\/TR.1975.5215316","volume":"R-24","author":"R Luus","year":"1975","unstructured":"Luus R (1975) Optimization of system reliability by a new nonlinear integer programming procedure. IEEE Trans Reliab R-24(1):14\u201316","journal-title":"IEEE Trans Reliab"},{"issue":"2","key":"3579_CR47","first-page":"1567","volume":"188","author":"M Mahdavi","year":"2007","unstructured":"Mahdavi M, Fesanghary M, Damangir E (2007) An improved harmony search algorithm for solving optimization problems. Appl Math Comput 188(2):1567\u20131579","journal-title":"Appl Math Comput"},{"issue":"8","key":"3579_CR48","doi-asserted-by":"publisher","first-page":"1818","DOI":"10.1016\/j.engappai.2013.05.008","volume":"26","author":"D Manjarre","year":"2013","unstructured":"Manjarre D, Landa-Torres I, Gil-Lopez S et al (2013) A survey on applications of the harmony search algorithm. Eng Appl Artif Intell 26(8):1818\u20131831","journal-title":"Eng Appl Artif Intell"},{"key":"3579_CR49","doi-asserted-by":"publisher","first-page":"553","DOI":"10.1016\/j.automatica.2008.09.019","volume":"45","author":"I Maruta","year":"2009","unstructured":"Maruta I, Kim TH, Sugie T (2009) Fixed-structure H\u221e controller synthesis: a metaheuristic approach using simple constrained particle swarm optimization. Automatica 45:553\u2013559","journal-title":"Automatica"},{"issue":"1","key":"3579_CR50","doi-asserted-by":"publisher","first-page":"49","DOI":"10.1007\/s10462-010-9201-y","volume":"36","author":"O Moh\u2019d Alia","year":"2011","unstructured":"Moh\u2019d Alia O, Mandava R (2011) The variants of the harmony search algorithm: an overview. Artif Intell Rev 36(1):49\u201368","journal-title":"Artif Intell Rev"},{"key":"3579_CR51","first-page":"643","volume":"198","author":"MGH Omran","year":"2008","unstructured":"Omran MGH, Mahdavi M (2008) Global-best harmony search. Appl Math Comput 198:643\u2013656","journal-title":"Appl Math Comput"},{"key":"3579_CR52","first-page":"1064","volume":"247","author":"H Ouyang","year":"2014","unstructured":"Ouyang H, Gao L, Li S, Kong X et al (2014) On the iterative convergence of harmony search algorithm and a proposed modification. Appl Math Comput 247:1064\u20131095","journal-title":"Appl Math Comput"},{"key":"3579_CR53","doi-asserted-by":"publisher","first-page":"14","DOI":"10.1016\/j.ins.2015.01.020","volume":"305","author":"H Ouyang","year":"2015","unstructured":"Ouyang H, Gao L, Li S et al (2015) Improved novel global harmony search with a new relaxation method for reliability optimization problems. Inf Sci 305:14\u201355","journal-title":"Inf Sci"},{"key":"3579_CR54","doi-asserted-by":"publisher","first-page":"318","DOI":"10.1016\/j.ins.2016.02.007","volume":"346","author":"HB Ouyang","year":"2016","unstructured":"Ouyang HB, Gao LQ, Kong XY, Li S, Zou DX (2016) Hybrid harmony search particle swarm optimization with global dimension selection. Inf Sci 346:318\u2013337","journal-title":"Inf Sci"},{"key":"3579_CR55","doi-asserted-by":"publisher","first-page":"133","DOI":"10.1016\/j.asoc.2016.12.042","volume":"53","author":"H Ouyang","year":"2017","unstructured":"Ouyang H, Gao L, Li S et al (2017) Improved harmony search algorithm: LHS. Appl Soft Comput 53:133\u2013167","journal-title":"Appl Soft Comput"},{"key":"3579_CR56","first-page":"1","volume":"2018","author":"H Ouyang","year":"2018","unstructured":"Ouyang H, Gao L, Li S (2018) Amended harmony search algorithm with perturbation strategy for large-scale system reliability problems. Appl Intell 2018:1\u201326","journal-title":"Appl Intell"},{"key":"3579_CR57","first-page":"830","volume":"216","author":"QK Pan","year":"2010","unstructured":"Pan QK, Suganthan PN, Tasgetiren MF et al (2010) A self-adaptive global best harmony search algorithm for continuous optimization problems. Appl Math Comput 216:830\u2013848","journal-title":"Appl Math Comput"},{"key":"3579_CR58","doi-asserted-by":"publisher","first-page":"457","DOI":"10.1016\/j.asoc.2014.06.051","volume":"24","author":"H Pourvaziri","year":"2014","unstructured":"Pourvaziri H, Naderi B (2014) A hybrid multi-population genetic algorithm for the dynamic facility layout problem. Appl Soft Comput 24:457\u2013469","journal-title":"Appl Soft Comput"},{"issue":"3","key":"3579_CR59","doi-asserted-by":"publisher","first-page":"303","DOI":"10.1016\/j.cad.2010.12.015","volume":"43","author":"RV Rao","year":"2011","unstructured":"Rao RV, Savsani VJ, Vakharia DP (2011) Teaching\u2013learning-based optimization: a novel method for constrained mechanical design optimization problems. Comput Aided Des 43(3):303\u2013315","journal-title":"Comput Aided Des"},{"key":"3579_CR60","doi-asserted-by":"publisher","first-page":"240","DOI":"10.1109\/TEVC.2004.826071","volume":"8","author":"A Ratnaweera","year":"2004","unstructured":"Ratnaweera A, Halgamuge S, Watson H (2004) Self-organizing hierarchical particle swarm optimizer with time-varying acceleration coefficients. IEEE Trans Evol Comput 8:240\u2013255","journal-title":"IEEE Trans Evol Comput"},{"issue":"2","key":"3579_CR61","doi-asserted-by":"publisher","first-page":"233","DOI":"10.1109\/24.589951","volume":"46","author":"V Ravi","year":"1997","unstructured":"Ravi V, Murty BSN, Reddy PJ (1997) Nonequilibrium simulated annealing-algorithm applied to reliability optimization of complex systems. IEEE Trans Reliab 46(2):233\u2013239","journal-title":"IEEE Trans Reliab"},{"key":"3579_CR62","first-page":"1","volume":"2018","author":"SS Reddy","year":"2018","unstructured":"Reddy SS (2018) Optimal power flow using hybrid differential evolution and harmony search algorithm. Int J Mach Learn Cybern 2018:1\u201315","journal-title":"Int J Mach Learn Cybern"},{"key":"3579_CR63","doi-asserted-by":"publisher","first-page":"548","DOI":"10.1016\/j.asoc.2018.04.010","volume":"68","author":"A Sadollah","year":"2018","unstructured":"Sadollah A, Sayyaadi H, Yoo DG et al (2018) Mine blast harmony search: a new hybrid optimization method for improving exploration and exploitation capabilities. Appl Soft Comput 68:548\u2013564","journal-title":"Appl Soft Comput"},{"key":"3579_CR64","first-page":"1","volume":"2013","author":"M Sheikhalishahi","year":"2013","unstructured":"Sheikhalishahi M, Ebrahimipour V et al (2013) A hybrid GA\u2013PSO approach for reliability optimization in redundancy allocation problem. Int J Adv Manuf Technol 2013:1\u201322","journal-title":"Int J Adv Manuf Technol"},{"issue":"4","key":"3579_CR65","doi-asserted-by":"publisher","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(4):341\u2013359","journal-title":"J Glob Optim"},{"key":"3579_CR66","doi-asserted-by":"publisher","first-page":"471","DOI":"10.1080\/03052150903305476","volume":"42","author":"G Tomassetti","year":"2009","unstructured":"Tomassetti G (2009) A cost-effective algorithm for the solution of engineering problems with particle swarm optimization. Eng Optim 42:471\u2013495","journal-title":"Eng Optim"},{"issue":"157","key":"3579_CR67","doi-asserted-by":"publisher","first-page":"78","DOI":"10.1016\/j.ress.2016.08.022","volume":"7","author":"MR Valaei","year":"2017","unstructured":"Valaei MR, Behnamian J (2017) Allocation and sequencing in 1-out-of-N heterogeneous cold-standby systems: multi-objective harmony search with dynamic parameters tuning. Reliab Eng Syst Saf 7(157):78\u201386","journal-title":"Reliab Eng Syst Saf"},{"issue":"1","key":"3579_CR68","doi-asserted-by":"publisher","first-page":"459","DOI":"10.1016\/j.cie.2012.07.011","volume":"64","author":"E Valian","year":"2013","unstructured":"Valian E, Tavakoli S, Mohanna S et al (2013) Improved cuckoo search for reliability optimization problems. Comput Ind Eng 64(1):459\u2013468","journal-title":"Comput Ind Eng"},{"key":"3579_CR69","doi-asserted-by":"publisher","first-page":"2826","DOI":"10.1016\/j.eswa.2009.09.008","volume":"37","author":"CM Wang","year":"2010","unstructured":"Wang CM, Huang YF (2010) Self-adaptive harmony search algorithm for optimization. Expert Syst Appl 37:2826\u20132837","journal-title":"Expert Syst Appl"},{"issue":"5","key":"3579_CR70","doi-asserted-by":"publisher","first-page":"5271","DOI":"10.1016\/j.eswa.2011.11.012","volume":"39","author":"L Wang","year":"2012","unstructured":"Wang L, Li L (2012) A coevolutionary differential evolution with harmony search for reliability\u2013redundancy optimization. Expert Syst Appl 39(5):5271\u20135278","journal-title":"Expert Syst Appl"},{"key":"3579_CR71","doi-asserted-by":"publisher","first-page":"832","DOI":"10.1016\/j.ijepes.2012.08.021","volume":"44","author":"L Wang","year":"2013","unstructured":"Wang L, Li L (2013) An effective differential harmony search algorithm for the solving non-convex economic load dispatch problems. Int J Electr Power Energy Syst 44:832\u2013843","journal-title":"Int J Electr Power Energy Syst"},{"issue":"4","key":"3579_CR72","doi-asserted-by":"publisher","first-page":"395","DOI":"10.1007\/s00158-008-0238-3","volume":"37","author":"Y Wang","year":"2009","unstructured":"Wang Y, Cai Z, Zhou Y et al (2009) Constrained optimization based on hybrid evolutionary algorithm and adaptive constraint-handling technique. Struct Multidiscip Optim 37(4):395\u2013413","journal-title":"Struct Multidiscip Optim"},{"key":"3579_CR73","first-page":"1","volume":"2018","author":"L Wang","year":"2018","unstructured":"Wang L, Hu H, Liu R et al (2018) An improved differential harmony search algorithm for function optimization problems. Soft Comput 2018:1\u201326","journal-title":"Soft Comput"},{"issue":"1","key":"3579_CR74","doi-asserted-by":"publisher","first-page":"71","DOI":"10.1016\/j.isatra.2010.08.005","volume":"50","author":"P Wu","year":"2011","unstructured":"Wu P, Gao L, Zou D et al (2011) An improved particle swarm optimization algorithm for reliability problems. ISA Trans 50(1):71\u201381","journal-title":"ISA Trans"},{"key":"3579_CR75","doi-asserted-by":"publisher","first-page":"2621","DOI":"10.1016\/j.camwa.2012.06.026","volume":"64","author":"B Wu","year":"2012","unstructured":"Wu B, Qian C, Ni W et al (2012) Hybrid harmony search and artificial bee colony algorithm for global optimization problems. Comput Math Appl 64:2621\u20132634","journal-title":"Comput Math Appl"},{"issue":"5","key":"3579_CR76","doi-asserted-by":"publisher","first-page":"464","DOI":"10.1108\/02644401211235834","volume":"29","author":"XS Yang","year":"2012","unstructured":"Yang XS, Gandomi AH (2012) Bat algorithm: a novel approach for global engineering optimization. Eng Comput 29(5):464\u2013483","journal-title":"Eng Comput"},{"issue":"11","key":"3579_CR77","doi-asserted-by":"publisher","first-page":"1465","DOI":"10.1016\/j.cor.2010.10.028","volume":"38","author":"WC Yeh","year":"2011","unstructured":"Yeh WC, Hsieh TJ (2011) Solving reliability redundancy allocation problems using an artificial bee colony algorithm. Comput Oper Res 38(11):1465\u20131473","journal-title":"Comput Oper Res"},{"key":"3579_CR78","doi-asserted-by":"publisher","first-page":"327","DOI":"10.1016\/j.engappai.2012.05.014","volume":"26","author":"AR Yildiz","year":"2013","unstructured":"Yildiz AR (2013) Comparison of evolutionary-based optimization algorithms for structural design optimization. Eng Appl Artif Intell 26:327\u2013333","journal-title":"Eng Appl Artif Intell"},{"issue":"4","key":"3579_CR79","doi-asserted-by":"publisher","first-page":"905","DOI":"10.1016\/0360-8352(96)00041-1","volume":"30","author":"T Yokota","year":"1996","unstructured":"Yokota T, Gen M, Li HH (1996) Genetic algorithm for nonlinear mixed-integer programming problems and its application. Comput Ind Eng 30(4):905\u2013917","journal-title":"Comput Ind Eng"},{"key":"3579_CR80","doi-asserted-by":"publisher","first-page":"12","DOI":"10.1016\/j.neucom.2014.12.072","volume":"155","author":"J Zhai","year":"2015","unstructured":"Zhai J, Gao L, Li S (2015) Robust pole assignment in a specified union region using harmony search algorithm. Neurocomputing 155:12\u201321","journal-title":"Neurocomputing"},{"key":"3579_CR81","doi-asserted-by":"publisher","first-page":"1362","DOI":"10.1109\/TSMCB.2009.2015956","volume":"39","author":"ZH Zhan","year":"2009","unstructured":"Zhan ZH, Zhang J, Li Y et al (2009) Adaptive particle swarm optimization. IEEE Trans Syst Man Cybern Part B Cybern 39:1362\u20131381","journal-title":"IEEE Trans Syst Man Cybern Part B Cybern"},{"key":"3579_CR82","doi-asserted-by":"publisher","first-page":"945","DOI":"10.1109\/TEVC.2009.2014613","volume":"13","author":"JQ Zhang","year":"2009","unstructured":"Zhang JQ, Sanderson A (2009) JADE: Adaptive differential evolution with optional external archive. IEEE Trans Evol Comput 13:945\u2013958","journal-title":"IEEE Trans Evol Comput"},{"issue":"16\u201318","key":"3579_CR83","doi-asserted-by":"publisher","first-page":"3308","DOI":"10.1016\/j.neucom.2010.07.010","volume":"73","author":"DX Zou","year":"2010","unstructured":"Zou DX, Gao LQ, Wu JH et al (2010a) Novel global harmony search algorithm for unconstrained problems. Neurocomputing 73(16\u201318):3308\u20133318","journal-title":"Neurocomputing"},{"issue":"2","key":"3579_CR84","doi-asserted-by":"publisher","first-page":"307","DOI":"10.1016\/j.cie.2009.11.003","volume":"58","author":"D Zou","year":"2010","unstructured":"Zou D, Gao L, Wu J et al (2010b) A novel global harmony search algorithm for reliability problems. Comput Ind Eng 58(2):307\u2013316","journal-title":"Comput Ind Eng"},{"issue":"4","key":"3579_CR85","doi-asserted-by":"publisher","first-page":"4642","DOI":"10.1016\/j.eswa.2010.09.120","volume":"38","author":"D Zou","year":"2011","unstructured":"Zou D, Gao L, Li S et al (2011) An effective global harmony search algorithm for reliability problems. Expert Syst Appl 38(4):4642\u20134648","journal-title":"Expert Syst Appl"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-018-3579-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00500-018-3579-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-018-3579-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,9,4]],"date-time":"2022-09-04T20:50:30Z","timestamp":1662324630000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00500-018-3579-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,10,29]]},"references-count":85,"journal-issue":{"issue":"20","published-print":{"date-parts":[[2019,10]]}},"alternative-id":["3579"],"URL":"https:\/\/doi.org\/10.1007\/s00500-018-3579-x","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,10,29]]},"assertion":[{"value":"29 October 2018","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 there are no conflict of interests regarding the publication of this paper.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"This article does not contain any studies with human participants performed by any of the authors.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethical approval"}}]}}